Sean weighs 10 lb more than twice Brad’s weight. If Brad gains 10 lb, together they will weigh 230 lb. How much does each weight now?

Answers

Answer 1

The weight of Brad is 70 lb and the weight of Sean is 150 lb now.

According to the question,

We have the following information:

Sean weighs 10 lb more than twice Brad’s weight. If Brad gains 10 lb, together they will weigh 230 lb.

Now, let's take Brad's weight to be x lb.

So, we have:

Sean's weight = (10+2x) lb

Now, when Brad gains 10 lb, we have the following expression:

(x+10)+(10+2x) = 230

3x+20 = 230

3x = 230-20

3x = 210

x= 210/3

x = 70 lb

Now, Sean's weight = (10+2x) lb

Putting the value of x:

Sean's weight = 10+2*70

Sean's weight = 10+140

Sean's weight = 150 lb

Hence, the weight of Brad is 70 lb and the weight of Sean is 150 lb now.

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Related Questions

I dont know pls help me

Answers

In Close Encounters of a Bear Kind, the statement that represents the author's primary attitude towards John's work is that C. John's work is dangerous.

How to illustrate the information?

According to the author, he stated that people don't usually realize that bears

can be very dangerous.

He further stated that they will reap people apart of they e the chance. The narrator gave an example about how he walked out at night and had to run back home for his dear life. This was why he stated that the job of John whom was a photographer was a dangerous one.

In conclusion, the correct option is C.

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a control chart for nonconformities is maintained on a process producing desk calculators. the inspection unit is defined as two calculators. the average number of nonconformities per machine when the process is in control is estimated to be two. (a) find the appropriate three-sigma control limits for this size inspection unit. (b) what is the probability of type i error for this control chart?

Answers

The three sigma control limits range from 0 to 8.20 for this size inspection limit and The probability of a type I error is 0.0038.

The inspection unit calculator in this case is 2

1.5 non-conformities on average per machine

Consequently, we would typically discover 2 * 1.5 = 3 non-conformities.

Here, C equals 3.

Lower Limit = C - 3 * c, which equals 3 - 3 * sqrt (3), which results in -2.19 (impossible), therefore 0

Reduced Limit = 0

Upper Limit: 8.20 when C + 3 * с + 3 + 3 * sqrt(3)

In this case, the three sigma control limits range from 0 to 8.20 for this size inspection limit.

(b) Type I errors happen when non confirmations go above the acceptable range.

This is a POISSON (3)

P(c > 8.20) = -1 POISSON (8, 3, true)

=1 - 0.9962

= 0.0038

In this case, the probability of a type I error is 0.0038.

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Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
25 points

Answers

No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.

What is a function ?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.

Consider the given relation

{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

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hemoglobin determinations were made on sixteen animals exposed to ionizing radiation. the following observations were recorded: 15.6, 14.4, 14.8, 13.8, 16.6, 14.0, 17.4, 17.3, 18.6, 16.2, 15.7, 14.7, 16.4, 13.9, 14.8, 17.5. construct a 95 percent confidence interval for population standard deviation?

Answers

The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]

                                         CI₈ = [1.0906, 2.2849]

n = 16, Standard Deviation = 1.4764, Var = 2.1796

X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49

CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]

CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]

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shelly wants to tile a rectangular floor that measures 132 feet by 150 feet using square tiles that are all of the same size, with no overlap and no squares hanging over the edge. what is the measurement of the largest square tiles she can use?

Answers

The measurement of the largest square tiles she can use is 6 feet.

Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF). For instance, the numbers 8 and 12 share the elements 1, 2, and 4. Four is the greatest common factor.

Steps for calculating HCF:

Step 1: Write each integer as the sum of its prime factors in step one.

Step 2: List the shared factors between the two numbers.

Step 3: The HCF is the sum of all the common prime factors ( use the lower power of each common factor)

Given,

Measurement of the rectangular floor:

length = 150 feet

breadth = 132 feet

The measurement of the largest square can be calculated by finding the HCF of 132 and 150.

132 = 2*2*3*11

150 = 2*3*5*5

So, HCF (132, 150) = 2*3 = 6.

Hence, the measurement of the largest square tiles she can use is 6 feet.

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4. Your test scores for the semester are 87, 84, and 85. Can you raise your test average to 90with your next test?DefineEquation:Answer:can i have help on 4, 5 and 6?

Answers

5.

The sum of three consecutive integers is 228. You can write this situation, in an algebraic way, as follow:

x + (x + 1) + (x + 2) = 228

where the lower number is x, and the largest number is (x + 2).

You solve the previous equation for x:

x + (x + 1) + (x + 2) = 228 eliminate prenthesis

x + x + 1 + x + 2 = 228 sum similar terms

3x + 3 = 228 rest 3 both sides

3x = 228 - 3

3x = 225 divide by 3

x = 225/3

x = 75

Then, the lower number is 75, and the largest one is (75+2) = 77

Solve the equation. (Enter your answers as a comma-separated list.)x210x − 6x10x = 27(10x)x =

Answers

Answer:

x = -3, 9

Explanation:

First, let us divide both sides of the equation by 10^x; this gives,

[tex]\frac{x^210^x-6x\times10^x}{10^x}=\frac{27\times10^x}{10^x}[/tex][tex]\Rightarrow x^2-6x=27[/tex]

subtracting 27 from both sides gives

[tex]x^2-6x-27=0[/tex]

The left-hand side can be factored as

[tex](x-9)(x+3)=0[/tex]

which gives us two further equations

[tex]\begin{gathered} x-9=0 \\ \boxed{x=9.} \end{gathered}[/tex][tex]\begin{gathered} x+3=0 \\ \Rightarrow\boxed{x=-3.} \end{gathered}[/tex]

Hence, the two solutions we get are x = 9 and x = -3.

a 2.0 kg box is at rest on a table, The static friction coefficient μs between the box and table is 0.40, and the kinetic friction coefficient μk is 0.2

Then, a 25N horizontal force is applied to the box.

What is the best estimate of the magnitude of the box's acceleration?

Answers

The best estimate of the magnitude of the box's acceleration is equal to: B. 11 m/s².

How to determine the box's acceleration?

In order to determine the magnitude of the acceleration of this box, we would first of all calculate the magnitude of the kinetic frictional force.

Mathematically, the kinetic frictional force that is acting on a physical body can be calculated by using this equation:

F = μkN = μk(mg)

Where:

μk is the coefficient of kinetic frictional force.N is the normal force.m is the mass.g is the acceleration due to gravity.

Substituting the given parameters into the formula, we have;

F = 0.20 × 2.0 × 9.81

F = 3.924 Newton.

By applying Newton's second law of motion, the net force is given by:

∑Fx = Applied force - kinetic frictional force = ma

Acceleration, a = [Applied force - kinetic frictional force]/m

Acceleration, a = [25 - 3.924]/2

Acceleration, a = 21.076/2

Acceleration, a = 10.538 ≈ 11 m/s²

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A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3)(5,3). What is the vertex of the function defined as g(x)=f(x+2)+2g(x)=f(x+2)+2?

Answers

The function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is;

(5, 3+2) +2 = (5, 5) + 2

Given,

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3)(5,3).

To find the what is the vertex of the function defined as g(x)=f(x+2)+2g(x)=f(x+2)+2

Now,

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3).

Hence, if the function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is; (5, 3+2) +2 = (5, 5) + 2.

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Jayden had $8 last week. He now has $11. what is the percent of change?

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

initial money = $8

final money = $11

percent of change = ?

Step 02:

percent of change

percent of change = ( final money - initial money ) / initial money * 100

= ( 11 - 8 ) / 8 * 100

= 3/8 * 100

= 0.375 * 100 = 37.5 %

The answer is:

The percent of change is 37.5 %

for anyone that knows how to do this i only need help with these two questions

-4x-1=-y
solve for y

-4y+20+3x=0
solve for y

Answers

[tex]-4x-1=-y\\y[/tex]

Flip the equation:

[tex]-y=-4x-1[/tex]

Divide both sides by -1:

[tex]\frac{-y}{-1} =\frac{-4x-1}{-1}[/tex]

[tex]y=4x+1[/tex]

__________________________________________________________

[tex]-4y+20+3x=0\\y[/tex]

Add -3x to both sides of the equation:

[tex]3x-4y+20+-3x=0+-3x\\-4y+20=-3x[/tex]

Add -20 to both sides of the equation:

[tex]-4y+20+-20=-3x+-20\\-4y=-3x-20[/tex]

Divide both sides by -4:

[tex]\frac{-4y}{-4} =\frac{-3x-20}{-4}[/tex]

[tex]y=\frac{3}{4} x+5[/tex]

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,1) Midpoint: (-4,-6)

Answers

Answer:

(-13, - 6)

Step-by-step explanation:

Midpoint =(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,-6) = (9+x)/2, (1+y)/2

9+x= - 4

X= - 13

1+y= - 6

Y= - 7

Ans=

(-13, - 6)

Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A ands who did Plan
B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B
Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?

Answers

The number of hour (time) for which workout plan A would last is 0.75 hour. Also, the number of hour (time) for which workout plan B would last is 0.5 hour.

How to calculate the number of hours (time)?

In order to solve this word problem, we would assign variables to the number of hours (time) each plan and then translate the word problem into algebraic equation as follows:

Let x be the number of hours (time) for workout plan A.Let y be the number of hours (time) for workout plan B.

Translating the word problem into an algebraic equation, we have;

On Friday  ⇒     6x + 5y = 7    ....equation 1.

On Saturday  ⇒ 2x + 3y = 3     ....equation 2.

Next, we would solve the simultaneous equation by using elimination method:

3 × (2x + 3y = 3) = 6x + 9y = 9    ........equation 3.

Subtracting equation 1 from equation 3, we have:

6x + 9y = 9

6x + 5y = 7

4y = 2

y = 2/4

y = 1/2

y = 0.5 hour.

For the value of x, we have:

6x + 5y = 7

6x + 5(0.5) = 7

6x + 2.5 = 7

6x = 7 - 2.5

6x = 4.5

x = 4.5/6

x = 0.75 hour.

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Complete Question:

Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A and 5 clients who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?

At 10:00 a.m., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs at a pace of 12 minutes per mile. Tyler runs at a pace of 15 minutes per mile.

Do Han and Tyler meet on the path within 1 hour?

Answers

If  Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han and Tyler will not meet on the path within 1 hour

Calculations to show if Han and Tyler meet on the path within 1 hour

The following information is gotten from the question

Han and Tyler both started running toward each other from opposite ends of a 10-mile path

Han runs at a pace of 12 minutes per mile

Tyler runs at a pace of 15 minutes per mile

Distance covered by Han in 1 hour

12 minutes = 1 mile

60 minutes = ? miles

cross multiplying gives

? = 60 / 12

? = 5 miles

Distance covered by Tyler in 1 hour

15 minutes = 1 mile

60 minutes = ? miles

cross multiplying gives

? = 60 / 15

? = 4 miles

This means that Han covers 5 miles in and Tyler covers 4 miles, in a 10 mile distance.

In one hour the distance covered

= 5 miles + 4 miles

= 9 miles

9 miles is less than 10 miles hence they will not meet in the path within one hour

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14. A function is defined by the
equation y = x² + 3x + 1. Which
statements are true? Select all
that apply.
O The equation in vertex form is y =
5
(x + ²³2) ²
I
A LOT
4
O The equation in vertex form is y = (x + ²)² − ³/
-
O The graph of the function has a minimum of y =
O The domain of the function is all real numbers
-² at x = -²

Answers

The correct statements regarding the quadratic function y = x² + 3x + 1 are given as follows:

A. The equation written in vertex-form is: (x + 3/2)² - 5/4.C. The graph of the function has a minimum of y = -5/4 at x = -3/2.D. The domain of the function is all real values.

How to analyze the quadratic function?

The quadratic function in this problem is defined as follows:

y = x² + 3x + 1.

Hence the coefficients are given as follows:

a = 1, b = 3, c = 1.

The x-coordinate of the vertex is given as follows:

x = -b/2a = -3/2.

The y-coordinate of the vertex is then given as follows:

y = (-3/2)² + 3(-3/2) + 1

y = 9/4 - 9/2 + 1

y = 9/4 - 18/4 + 4/4

y = -5/4.

Hence the vertex-form definition of the quadratic equation is given as follows:

y = (x + 3/2)² - 5/4.

Due to the positive leading coefficient, the vertex means that the function has a minimum of y = -5/4 at x = -3/2.

The domain of the function is all real values, as the quadratic function has no constraints such as a fraction or an even root.

Missing Information

The complete problem is given by the image shown at the end of the answer.

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what is the distance between the two points in simplest radical form
(−2,−7) and (5,0)

Answers

The distance between the two points in simplest radical form(−2,−7) and (5,0) is 9.8995

What is the distance?

Distance can be described as the differences that exist between two points and this can be expressed i different form such as the radical form.

We can calculate the distance between the two points by firstly expressed them as :

(−2) - (5) = -7

(-7) - 0 = -7

Then the distance between them can be found as :

Distance = (-7)^2 + (-7)^2 = 49 +49 = 98

Then we will find the square root of the the figure as

= [tex]\sqrt{98}[/tex] = 9.8995

The formula can as well be used to find this by substituting the values of x and y into the formula as :

x1=-2

y1=-7

x2=5

y2=0

[tex]d = \sqrt{ ( x_{2} - x_{1} )^{2} + ( y_{2} - y_{1} )^{2}}[/tex]

then [tex]d = \sqrt{ ( 5 - (-2 )^{2} + ( 0 - (-7) )^{2}}[/tex]

= [tex]\sqrt{ 49^{2} + 49^{2} }[/tex]

= [tex]\sqrt{98}[/tex]

=9.8995

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"Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?" Please help meee

Answers

Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?

Let

x ------> students enrolled last year

we have that

100%+10%=110%=110/100=1.10

so

528=1.10x

solve for x

x=528/1.10

x=480

answer is 480 students

Which of the following statements are not true regarding functions?Check all that apply.A. A function is a relation in which each value of the input variable ispaired with at least one value of the output variable.I B. The vertical line test may be used to determine whether afunction is one-to-one.O C. A sequence is a function whose domain is the set of naturalnumbers.D D. The horizontal line test may be used to determine whether afunction is one-to-one.

Answers

Only B is not true, because the vertical line test is to know if a graph is from a function.

Use point-slope form to write the equation of a line that passes through the point (-12,15) with slope −1.

Answers

Answer: y = -1x + 3

Step-by-step explanation:

Point-Slope form: y - y1 = m(x-x1)

Replace the form with the values provided:

y - 15 = -1(x+12)

Once you get this, you need to get y by itself in order to get it in slope intercept form.

Distribute:

y -15 = -1x - 12

Add -15 to the right side:

y = -1x + 3

Bella's mother is 5 less than 4 times her
daughter's age. If her mom is 39 years old, how
old Is Bella?

Answers

bella is 11 years old.

A savings account increases from 250$ to 265$. What is the percent increase of the savings account?

Answers

15 was the percent increase of the savings account
Steps:
Initial Amount = 250
Final Amount = 265

1.00 / 250 = x / 265
x = 1.06

1.06 - 1.00 = 0.06
0.06 * 100 = 6

6 percent increase

Answer:

6% increase

during a recent campaign for office, a candidate made a tour of a country that we assume lies in a plane. on the first day of the tour she went east, on the second day she went north, on the third day west, on the fourth day south, on the fifth day east, and so on. if the candidate went $n^2/2$ miles on the $n^{\text{th}}$ day of her tour, how many miles was she from her starting point at the end of the 40th day?

Answers

580 miles.

On the first day of the tour, she went = east

On the second day she went = north

On the third day = west

On the fourth day she went = south

On the fifth day she went = east

Miles was she from her starting point at the end of the 40th day =?

She was 580 miles from her starting point at the end of the 40th day.

Solution is given in the attached picture.

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a lake is stuck with 1,550 young carp. the number of the original fish alive after t years is given by the function P (t)= 1550e^-0.4t, when will there be 440 of the original fish left from to the nearest tenth

Answers

[tex]\begin{gathered} 440=1550e^{-0.4t}\rightarrow \\ e^{-0.4t}=\frac{440}{1550} \\ -0.4t=\ln (\frac{44}{155})\approx-1.26 \\ t=\frac{1.26}{0.4}\approx3.14\approx3.1 \end{gathered}[/tex]

so the time needed is 3.1 years

-3/2 = -2/3w - 4/5 solve for w and simplify your answer as much as possible

Answers

The result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20

The equation is

(-2/3)w - 4/5 = -3/2

Here we have to rearrange the terms and combine the like terms.

Mover 4/5 to the right hand side of the equation

(-2/3)w = -3/2 + 4/5

(-2/3)w = -7/10

Move the number (-2/3) to the right hand side of the equation

x = -7/10 ÷ (-2/3)

To make it multiplication, take the reciprocal of the the second number

x = -7/10 × (-3/2)

Multiply the numbers

x = 21/20

Hence, the result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20

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solve the following system of equation graphically on the set of axes below y= x + 5y= -2x -1

Answers

To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

Which statement about the location of √ 7 on a number line is true?

Answers

The location of √ 7 on a number line between 2 and 3.

What is a number line?

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

A number line is a long straight line with numbers marked at equal intervals. On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

A number line shows how numbers are related. It's a line with check marks next to each number. The numerals get smaller as you move left on the number line. The numbers grow larger as you move closer to the number line.

In this case, ✓7 is 2.65. This number can be found between 2 and 3. This should be the true statement since the options aren't given.

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solve the system by graphing; y= -5/3x + 3 y= 1/3x - 3

Answers

Answer:

The solution to the given system is:

x = 3

y = -3

Explanation:

Given the following system of equation:

[tex]\begin{gathered} y=-\frac{5}{3}x+3 \\ \\ y=\frac{1}{3}x-3 \end{gathered}[/tex]

The solution to these is the point where the lines intersect.

The graph is shown below:

The solution is x = 3, y = -3

39+(20.4) can u help me with this answer I don't know how to do it

Answers

You have the following expression:

39 + (-20.4)

In order to simplify the previous expression, you first eliminate the parenthesis. To do that, you take into account that the sign before the parenthesis must multiply the sign inisde. In this case, you have a positive sign + before the parenthesis, and inside you have a minus -. When the parenthesis is eliminated, these signs are multiplied (here you use the multiplication rule for signs). Thus, you have that - x + = - (positive multiplied by negative is equal to negative). And the expression becomes:

39 + (-20.4)

= 39 - 20.4

= 18.6

Hence, the simplified expression is 18.6

What is the midpoint of line segment (-6,-10) ,(-2,-8)

Answers

The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9).

What is a line segment?

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The midpoint associated with two points (x₁, y₁) and (x₂, y₂) is given by

x = (x₁ + x₂)/2 , y = (y₁ + y₂)/2

x = (-6 - 2)/2 = -4 , y = (-10 - 8)/2 = -9

So, the coordinate will be (-4,-9).

Hence "The mid-point of two coordinates is the average of the x and y coordinates thus the midpoint of the line segment with endpoints (-6,-10),(-2,-8) is (-4,-9)".

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[tex]a(a-9)=0[/tex] yyyyyyyyyyyyyyy

Answers

Answer:

a = 0 , a = 9

Step-by-step explanation:

a(a - 9) = 0

equate each factor to zero and solve for a

a = 0

a - 9 = 0 ⇒ a = 9

Other Questions
determine whether AB and AC are parallel,perpendicular,or neither.A(9,-3) , B(9,4), C(-2,10), D(-2,6) Find the area of the triangle. Plot the vertex of f(x) = (x 2)2 + 2. what is authors attitude about mr lacey in stray find the value of x so that AB and DC are parallel Which of the following is the moment when a character's fortunes change and the plot drives towards the conclusion of the story? a. the parallel plot b. the turnabout c. the pivot point d. the midpoint Solve for y 2(4y+7)=62 Main idea: Sweetness is achieved both naturally and artificiallySuporting detail: Humans love sweet things but sugar is highin caloriesSuporting detail:Suporting detail: Consumers must make informed decisionsabout what type of sweetener they chooseWhich of the following is a supporting detail that completes theinformal outline of the passage?O Many humans have a "sweet tooth"O Science has created many sugar substitutesO Grocery stores are full of sugary productsHoney is a natural sweetener 1. How would an element be classified?a. homogeneous mixtureb. pure substancec. solutiond. heterogeneous mixture If f(x) = 8x2- 18x + 5, find when f(x) = -4 Find the distance between the two points rounding to the nearest tenth (if necessary).(6,-8) and (1,4) Hi, can you help me answer this question please, thank you! Clara / mis / son / y / amigos. / Juan 3.23x106 kJ to kcalExpress the value in kilogploring to three significant figureshelp me please! If the same elevator accelerates downwardswith an acceleration of 1.2 m/s2, what is theupward force exerted by the elevator floor onthe passenger? David has a wooden board that is 6 feet long. how many pieces can be cut from the board if the length of each piece is 1/3 of a foot Find the value of x. Read the following excerpts from Faust and the book of Job before you answer the question.MephistophelesNo, Lord! I find things there, as ever, in sad plight.Men, in their evil days, move my compassion;Such sorry things to plague is nothing worth.The LordKnow'st thou my servant, Faust?Mephistopheles(5) The doctor?The LordRight.MephistophelesHe serves thee truly in a wondrous fashion.Poor fool! His food and drink are not of earth.An inward impulse hurries him afar,(10) Himself half conscious of his frenzied mood;From heaven claimeth he the fairest star,And from the earth craves every highest good,And all that's near, and all that's far,Fails to allay the tumult in his blood.The Lord(15) Though in perplexity he serves me now,I soon will lead him where more light appears;When buds the sapling, doth the gardener knowThat flowers and fruit will deck the coming years.MephistophelesWhat wilt thou wager? Him thou yet shall lose,(20) If leave to me thou wilt but give,Gently to lead him as I choose!The LordSo long as he on earth doth live,So long 'tis not forbidden thee.Man still must err, while he doth strive.Mephistopheles(25) I thank you; for not willinglyI traffic with the dead, and still averThat youth's plump blooming cheek I very much prefer.I'm not at home to corpses; 'tis my way,Like cats with captive mice to toy and play.The Lord(30) Enough! 'tis granted thee! DivertThis mortal spirit from his primal source;Him, canst thou seize, thy power exertAnd lead him on thy downward course,Then stand abash'd, when thou perforce must own,(35) A good man in his darkest aberration,Of the right path is conscious still.Mephistopheles'Tis done! Full soon thou'lt see my exultation;As for my bet no fears I entertain.And if my end I finally should gain,(40) Excuse my triumphing with all my soul.Dust he shall eat, ay, and with relish take,As did my cousin, the renowned snake.1The LordHere too thou'rt free to act without control;I ne'er have cherished hate for such as thee.(45) Of all the spirits who deny,The scoffer is least wearisome to me.Ever too prone is man activity to shirk,In unconditioned rest he fain would live;Hence this companion purposely I give,(50) Who stirs, excites, and must, as devil, work.But ye, the genuine sons of heaven, rejoice!In the full living beauty still rejoice!May that which works and lives, the ever-growing,In bonds of love enfold you, mercy-fraught,(55) And Seeming's changeful forms, around you flowing,Do ye arrest, in ever-during thought!(Heaven closes, the Archangels disperse.)1 "So the LORD God said to the serpent, "Because you have done this, "Cursed are you above all livestock and all wild animals! You will crawl on your belly and you will eat dust all the days of your life." Genesis 3:14The book of Job excerpt6One day the angels came to present themselves before the Lord, and Satan also came with them. 7The Lord said to Satan, "Where have you come from?" Satan answered the Lord, "From roaming throughout the earth, going back and forth on it."8Then the Lord said to Satan, "Have you considered my servant Job? There is no one on earth like him; he is blameless and upright, a man who fears God and shuns evil."9"Does Job fear God for nothing?" Satan replied. 10"Have you not put a hedge around him and his household and everything he has? You have blessed the work of his hands, so that his flocks and herds are spread throughout the land. 11But now stretch out your hand and strike everything he has, and he will surely curse you to your face."12The Lord said to Satan, "Very well, then, everything he has is in your power, but on the man himself do not lay a finger."Then Satan went out from the presence of the Lord.What is the purpose of the allusion to the book of Job in this excerpt? (2 points)It elaborates on the background knowledge needed to understand the symbolism.It emphasizes the difference between Mephistopheles and the devil.It illuminates humanity's questions about the origin and purpose of suffering.It provides additional information necessary to understand the setting.It reveals the extent of Goethe's religious training and preference for the story. which of the following are elements of the generic conversion process uml class model? multiple select question. cash receipts employees finished goods cash disbursements raw materials bill of material raw materials issue customers vendors cowland, inc., manufactures a low-cost generic cheese alternative. it adds a filler to the meat that it does not list on its label. cowland's actions violate federal requirements relating to the labeling of food products. these requirements are enforced by: