Identify the values of a, b, and c for the quadratic equation given:y=-x2 +9a =b =C=

Answers

Answer 1

Question:

Solution:

A quadratic Equation in Standard Form is given by the following formula:

[tex]ax^2+bx\text{ + c = 0}[/tex]

now, the given equation is

[tex]y=-x^2+9[/tex]

this is equivalent to:

[tex]f(x)=-x^2+9[/tex]

According to the Quadratic Equation in Standard Form, we can conclude that

[tex]a\text{ = -1}[/tex][tex]b\text{ = 0}[/tex]

and

[tex]c\text{ = 9}[/tex]

Identify The Values Of A, B, And C For The Quadratic Equation Given:y=-x2 +9a =b =C=

Related Questions

what is the slope for the following points?(-1,1) and(3,3)

Answers

To find the slope for a line that connects the given points, use the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x1,y1) and (x2,y2) are the given points.

Use:

(x1,y1) = (-1,1)

(x2,y2) = (3,3)

replace the values of the previous parameters in the formula for m:

[tex]m\text{ = }\frac{3-1}{3-(-1)}=\frac{2}{3+1}=\frac{2}{4}=\frac{1}{2}[/tex]

Hence, the slope is 1/2

The graph of function f is shown. The graph of an exponential function passes through (minus 0.25, 10), (0, 6), (5, minus 2) also intercepts the x-axis at 1 unit. Function g is represented by the table. x -1 0 1 2 3 g(x) 15 3 0 - 3 4 - 15 16 Which statement correctly compares the two functions? A. They have the same y-intercept and the same end behavior as x approaches ∞. B. They have the same x-intercept but different end behavior as x approaches ∞. C. They have the same x- and y-intercepts. D. They have different x- and y-intercepts but the same end behavior as x approaches ∞.

Answers

The given data points from the graph of the exponential function, f, and the, values from the table of the function g, gives the statement that correctly compares the two functions as the option;

B. They have the same x–intercept but different end behaviours as x approaches ∞

What is the end behaviour of a graph?

The end behaviour of a function is the description of how the function behaves towards the boundaries of the x–axis.

The given points on the exponential function, f, are;

(-0.25, 10), (0, 6), (5, -2) and also the x–intercept (1, 0)

The points on the function g, obtained from the table of the values for g(x), expressed as ordered pairs are;

(-1, 15), (0, 3), (1, 0), (2, -34), (3, -16)

The coordinates of the x–intercept is given by the point where the y–value is zero.

The x–intercept for the exponential function, f, is therefore (1, 0)

Similarly, the x–intercept for the function, g, is (1, 0)

Therefore, both functions have the same x–intercept

However, the end behaviour of the function, f, as the x approaches infinity is that f(x) approaches negative infinity, while the end behaviour of the function, g, as the the value of x approaches infinity is g(x) is increasing towards positive infinity.

The correct option is therefore;

B. They have the same x–intercept but different end behaviour as x approaches ∞

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1. The equations y = x2 + 6x + 8 and y = (x + 2)(x+4) both define thesame quadratic function.Without graphing, identify the x-intercepts and y-intercept of the graph.Explain how you know

Answers

Given the quadratic equation

[tex]y=x^2\text{ +6x + 8}[/tex]

(1) x-intercepts are -2 and -4 is the points that pass through the x-axis

when y = 0

[tex]\begin{gathered} y\text{ = 0 } \\ x^2\text{ + 6x + 8 = 0} \\ x^2+2x\text{ +4x +8 = 0} \\ (x\text{ + 2)(x +4)=0} \\ x\text{ +2 = 0 or x +4 =0} \\ x\text{ = -2 or x = -4} \end{gathered}[/tex]

(11) y-intercepts = 8 is the points that pass through the y axis when x = 0

[tex]\begin{gathered} y=x^2\text{ +6x +8} \\ \text{when x = 0} \\ y=0^2\text{ +6(0) +8} \\ \text{y = 8} \end{gathered}[/tex]

An equation that can be used to determine the total

Answers

The equation that we have to build has the following form:

[tex]y=mx+b[/tex]

• The fixed cost of the phone is $88, which will be represented by ,b,.

,

• The variable cost per month is $116.43, which will be represented by ,m,.

,

• y ,is the dependent variable that we want to know (, C(t) ,)

,

• x ,is the independent variable, in our case, ,t,.

Replacing the values given in the problem we get:

[tex]C(t)=116.93t+88[/tex]

The cost for 22 months will be:

[tex]C(22)=116.93\cdot22+88[/tex][tex]C(22)=2660.46[/tex]

Answer:

• Equation

[tex]C(t)=116.93t+88[/tex]

• Cost in 22 months: $2660.46

What is the measure of the base of the rectangle if the area of the triangle is 32 ft2 ?A) 8 ftB) 16 ft C) 32 ftD) 64 ft

Answers

Answer:

B) 16 ft

Explanation:

The area of a triangle is equal to

[tex]Area\text{ =}\frac{Base\times Height}{2}[/tex]

We know that the area is 32 ft² and the height is 4 ft, so replacing these values, we get

[tex]32=\frac{\text{Base}\times4}{2}[/tex]

Now, we can solve for the base. So multiply both sides by 2

[tex]\begin{gathered} 32\times2=\frac{\text{Base }\times4}{2}\times2 \\ 64=\text{Base }\times4 \end{gathered}[/tex]

Then divide both sides by 4

[tex]\begin{gathered} \frac{64}{4}=\frac{Base\times4}{4} \\ 16=\text{Base} \end{gathered}[/tex]

Therefore, the measure of the base is 16 ft

HELP PLEASE!

Dave has a piggy bank which consists of dimes, nickels, and pennies. Dave has seven
more dimes than nickels and ten more pennies than nickels. If Dave has $3.52 in his piggy bank, how many of each coin does he have?

Answers

Dave has 17 nickels, 24 dimes and 27 pennies in his piggy bank.

According to the question,

We have the following information:

Dave has 7 more dimes than nickels and 10 more pennies than nickels.

Now, let's take the number of nickels to be x.

So,

Dimes = (x+7)

Pennies = (x+10)

Now, Dave has $3.52 in his piggy bank.

We will convert nickels, dimes and pennies into dollars.

We know that 1 nickel = 0.05 dollars, 1 dime = 0.1 dollars and 1 pennies = 0.01 dollars.

Now, we will convert the given numbers of nickel, dime and pennies into dollars.

x Nickels in dollars = $0.05x

(x+7) dimes in dollars = $0.1(x+7)

(x+10) pennies in dollars = $0.01(x+10)

Now, we will them.

0.05x + 0.1(x+7) + 0.01(x+10) = 3.52

0.05x + 0.1x + 0.7 + 0.01x + 0.1 = 3.52

0.16x + 0.8 = 3.52

0.16x = 3.52-0.8

0.16x = 2.72

x = 2.72/0.16

x = 17

Now, we have:

Number of nickels = 17

Number of dimes = (17+7)

Number of dimes = 24

Number of pennies = (17+10)

Number of pennies = 27

Hence, the number of nickels, dimes and pennies are 17, 24 and 27 respectively.

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Given two functions f(x) and g(x):f(x) = 8x - 5,8(x) = 2x2 + 8Step 1 of 2 Form the composition f(g(x)).Answer 2 PointsKeypadKeyboard Shortcutsf(g(x)) =>Next

Answers

we have the functions

[tex]\begin{gathered} f(x)=8x-5 \\ g(x)=2x^2+8 \end{gathered}[/tex]

Find out f(g(x))

Substitute the variable x in the function f(x) by the function g(x)

so

[tex]\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=8(2x^2+8)-5 \\ f(g(x))=16x^2+64-5 \\ f(g(x))=16x^2+59 \end{gathered}[/tex]

3 * 10 ^ - 6 = 4.86 * 10 ^ - 4 in scientific way

Answers

Answer:

3*10=30

10^-6=1^-6. (10 raised to the power of-6)

therefore 3*1^-6=3

is equal to

4.86*10=48.6

10^-4=1^-4

therefore 48.6*1^-4=48.6

C) 1) if Z1 and 22 are complementary angles, and mZ1 = 74°; find m22.

Answers

Answer:

16

Explanation:

The angles ∠1 and ∠2 are complementary, meaning

[tex]\angle1+\angle2=90^o[/tex]

Visually,

Now, ∠1 = 74; therefore,

[tex]74^o+\angle2=90^o[/tex]

subtracting 74 from both sides gives

[tex]\angle2=90^o-74^o[/tex][tex]\angle2=16^o[/tex]

which is our answer!

Alexa claims that the product of 2.3 and 10^2 is 0.23. Do you agree or disagree? Explain why or why not?

Answers

Answer:

disagree

Step-by-step explanation:

product = 2.3 * 10²

             = 2.3 * 100

             = 230

thus, the answer is different from the one acclaimed by Alexa.

Please help i need the answers for a test and how to work em out for the future

Answers

Given: The angles as shown in the image

[tex]\begin{gathered} m\angle DEY=105^0 \\ m\angle DEF=27x+3 \\ m\angle YEF=6x+3 \end{gathered}[/tex]

To Determine: The measure of angle DEF

Solution

It can be observed that

[tex]\begin{gathered} m\angle DEY+m\angle YEF=m\angle DEF \\ Therefore \end{gathered}[/tex][tex]\begin{gathered} 105^0+6x+3=27x+3 \\ 105=27x-6x+3-3 \\ 105=21x \\ x=\frac{105}{21} \\ x=5 \end{gathered}[/tex][tex]\begin{gathered} m\angle DEF=21x+3 \\ =21(5)+3 \\ =105+3 \\ =108 \end{gathered}[/tex]

Question 12

Given:

[tex]\begin{gathered} m\angle UIJ=x+43 \\ m\angle HIJ=66 \\ m\angle HIU=x+37 \end{gathered}[/tex]

To Determine: The measure of angle HIU

Solution:

It can be observed that

[tex]m\angle UIJ+m\angle HIU=m\angle HIJ[/tex][tex]\begin{gathered} x+43+x+37=66^0 \\ Collect-like-terms \\ x+x+43^0+37^0=66^0 \\ 2x+80^0=66^0 \\ 2x=66^0-80^0 \\ 2x=-14^0 \\ x=-\frac{14^0}{2} \\ x=-7^0 \end{gathered}[/tex]

Therefore, the measure of angle HIU would be

[tex]\begin{gathered} m\angle HIU=x+37^0 \\ m\angle HIU=-7+37^0 \\ m\angle HIU=30^0 \end{gathered}[/tex]

Hence, the measure of angle HIU is 30⁰

Can someone help out with a math prob?
pic of question below

Answers

The polar equation of the curve with the given Cartesian equation is r = √7

How to convert polar equation to cartesian equation

Given the Cartesian equation: x² + y² = 7

The relationships between polar and cartesian equation :

x = r cosθ

y = r sinθ

Where r is the radius and θ is the angle

Put the values of x and y into the given cartesian equation:

(r cosθ)² + (r sinθ)² = 7

r²cos²θ + r²sin²θ = 7

r²(cos²θ + sin²θ) = 7

Since the trigonometric identity cos²θ + sin²θ = 1

r²(1) = 7

r² = 7

r = √7

Therefore, the polar equation for the represented curve is r = √7

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Are the graphs of the equations parallel, perpendicular, or neither?x -3y = 6 and x - 3y = 9

Answers

The equation of a line in Slope-Intercept form, is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

By definition:

- The slopes of parallel lines are equal and the y-intercepts are different.

- The slopes of perpendicular lines are opposite reciprocals.

For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".

- Line #1:

[tex]\begin{gathered} x-3y=6 \\ -3y=-x+6 \\ y=\frac{-x}{-3}+(\frac{6}{-3}) \\ \\ y=\frac{x}{3}-2 \end{gathered}[/tex]

You can identify that:

[tex]\begin{gathered} m_1=\frac{1}{3} \\ \\ b_1=-2 \end{gathered}[/tex]

- Line #2:

[tex]\begin{gathered} x-3y=9​ \\ -3y=-x+9 \\ y=\frac{-x}{-3}+(\frac{9}{-3}) \\ \\ y=\frac{x}{3}-3 \end{gathered}[/tex]

You can identify that:

[tex]\begin{gathered} m_2=\frac{1}{3} \\ \\ b_2=-3_{}_{} \end{gathered}[/tex]

Therefore, since:

[tex]\begin{gathered} m_1=m_2 \\ b_1\ne b_2 \end{gathered}[/tex]

You can conclude that: The graphs of the equation are parallel.

Find the area and the perimeter of the following rhombus. round to the nearest whole number if needed.

Answers

ANSWER

[tex]\begin{gathered} A=572 \\ P=96 \end{gathered}[/tex]

EXPLANATION

To find the area of the rhombus, we have to first find the length of the other diagonal.

We are given half one diagonal and the side length.

They form a right angle triangle with half the other diagonal. That is:

We can find x using Pythagoras theorem:

[tex]\begin{gathered} 24^2=x^2+16^2 \\ x^2=24^2-16^2=576-256 \\ x^2=320 \\ x=\sqrt[]{320} \\ x=17.89 \end{gathered}[/tex]

This means that the length of the two diagonals is:

[tex]\begin{gathered} \Rightarrow2\cdot16=32 \\ \Rightarrow2\cdot17.89=35.78 \end{gathered}[/tex]

The area of a rhombus is given as:

[tex]A=\frac{p\cdot q}{2}[/tex]

where p and q are the lengths of the diagonal.

Therefore, the area of the rhombus is:

[tex]\begin{gathered} A=\frac{32\cdot35.78}{2} \\ A=572.48\approx572 \end{gathered}[/tex]

The perimeter of a rhombus is given as:

[tex]P=4L[/tex]

where L = length of side of the rhombus

Therefore, the perimeter of the rhombus is:

[tex]\begin{gathered} P=4\cdot24 \\ P=96 \end{gathered}[/tex]

Find the future value using the future value formula and a calculator in order to achieve $420,000 in 30 years at 6% interest compounded monthly

Answers

The present value of in order to achieve $420000 in 30 years at 6% interest compounded monthly is $69737.60

The future value = $420000

The time period = 30 years

The interest percentage = 6%

The interest is compounded monthly

A = [tex]P(1+\frac{i}{f})^{fn}[/tex]

Where A is the final value

P is principal amount

i is the interest rate

f frequency where compound interest is added

n is the time period

Substitute the values in the equation

420000 = P × [tex](1+\frac{0.06}{12} )^{(12)(30)[/tex]

420000 = P × 6.02

P = 420000 / 6.02

P = $69737.60

Hence, the present value of in order to achieve $420000 in 30 years at 6% interest compounded monthly is $69737.60

The complete question is:

Find the present value using the future value formula  in order to achieve $420,000 in 30 years at 6% interest compounded monthly

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A projectile is fired vertically upwards and can be modeled by the function h(t)= -16t to the second power+600t +225 during what time interval will the project I’ll be more than 4000 feet above the ground round your answer to the nearest hundredth

Answers

Given:

[tex]h(t)=-16t^2+600t+225[/tex]

To find the time interval when the height is about more than 4000 feet:

Let us substitute,

[tex]\begin{gathered} h(t)\ge4000 \\ -16t^2+600t+225\ge4000 \\ -16t^2+600t+225-4000\ge0 \\ -16t^2+600t-3775\ge0 \end{gathered}[/tex]

Using the quadratic formula,

Here, a= -16, b=600, and c= -3775

[tex]\begin{gathered} t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ =\frac{-600\pm\sqrt[]{600^2-4(-16)(-3775)}}{2(-16)} \\ =\frac{-600\pm\sqrt[]{360000^{}-241600}}{-32} \\ =\frac{-600\pm\sqrt[]{118400}}{-32} \\ =\frac{-600\pm40\sqrt[]{74}}{-32} \\ =\frac{-75\pm5\sqrt[]{74}}{-4} \\ t=\frac{-75+5\sqrt[]{74}}{-4},x=\frac{-75-5\sqrt[]{74}}{-4} \\ t=7.99709,t=29.5029 \end{gathered}[/tex]

So, the interval is,

[tex]8.00\le\: t\le\: 29.50[/tex]

The product two consequences positive even numbers is 728. Find the smaller of the two numbers. The smaller number is

Answers

Let the first number = n

So second number = n+2

the product of number is 728.

That mean:

[tex]n(n+2)=728[/tex]

Solve the equation:

[tex]\begin{gathered} n(n+2)=728 \\ n^2+2n=728 \\ n^2+2n-728=0 \end{gathered}[/tex][tex]\begin{gathered} n^2+2n-728=0 \\ n^2+28n-26n-728=0 \\ n(n+28)-26(n+28)=0 \\ (n+28)(n-26)=0 \\ n=-28;n=26 \end{gathered}[/tex]

For positive number is n=26.

scond number is:

[tex]\begin{gathered} =n+2 \\ =26+2 \\ =28 \end{gathered}[/tex]

So smaller number is 26.

In the scoring for a game, points can be negative and positive. There were - 3.25 points scored 4 times, -2.75 points scored 5 times, 3 points scored 2 times, and 5.5 points scored 4 times. How many more times would 5.5 points need to be scored to have a total gain greater than 15 points?
A. 1
C. 3
B. 2
D. 4

Answers

The number of times that 5.5 points is need to be scored to have a total gain greater than 15 points is A. 1

How to calculate the value?

From the information, it was stated that there were - 3.25 points scored 4 times, -2.75 points scored 5 times, 3 points scored 2 times, and 5.5 points scored 4 times.

In this case, the entire score will be:

= (-3.25 × 4) + (-2.75 × 5) + (3 × 2) + (5.5 ×4)

= -13 - 13.75 + 6 + 22

= 11.25

Therefore, the times that 5.5 points is needed to be scored to have a total gain greater than 15 will be 1 time since 11.25 + 5.5 = 16.75. This is more than 15.

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Find x.special 10A. 3B. 23√3- this is in fractionC. 6√3D. 3√3

Answers

First, we need to remember the cosine formula which is: cosine(theta)= adjacent/hypotenuse, now let's apply the formula to the triangle we have:

By using the formula we find that x=3√3 .

The answer is D.

A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the height, to the nearest foot, at a time of 3.8 seconds.

Answers

Given

The data can be modeled using a quadratic regression equation.

Using the general form of a quadratic equation:

[tex]y=ax^2\text{ + bx + c}[/tex]

We should use a regression calculator to obtain the required coefficients. The graph of the equation is shown below:

The coefficients of the equation is:

[tex]\begin{gathered} a\text{ = -17.5 (nearest tenth)} \\ b\text{ = }249.0\text{ (nearest tenth)} \\ c\text{ = }-0.5 \end{gathered}[/tex]

Hence, the regression equation is:

[tex]y=-17.5x^2\text{ + 249.0x -0.5}[/tex]

We can find the height (y) at a time of 3.8 seconds by substitution:

[tex]\begin{gathered} y=-17.5(3.8)^2\text{ + 249}(3.8)\text{ - 0.5} \\ =\text{ }693 \end{gathered}[/tex]

Hence, the height at time 3.8 seconds is 693 ft

rounded 425.652 to the hundredths place

Answers

Since the given number is 425.652

The hundredth digit is the 2nd number right at the decimal point

It is 5

To round to the nearest hundredth, we will look at the digit right to it

1. If it is 0, 1, 2, 3, or 4 we will ignore it and write the number without change except by canceling that digit

2. If it is 5, 6, 7, 8, or 9 we will cancel it and add the digit left to it 1

Since the right digit to the digit 5 is 2, then we will remove it and do not change the digit 5 (case 1), then

The number after rounding should be 425.65

The answer is 425.65

Determine the angle relationship. Drag the correct answer to the blank. what is the angle relationship of < 3 & <7

Answers

we have that

between m<3 and m<7 -----> no relationship (because q and p are not parallel)

Part 2

the relationship between m<12 and m<10

is

vertical angles

m<12=m<10 ------> by vertical angles

Which values are solutions to the inequality below? Check all that applySqrt x>=9Choices are:-2, 82, 32, 180, 99, 63

Answers

We notice the following:

[tex]\begin{gathered} \sqrt[]{x}\ge9\ge0 \\ \Rightarrow \\ x\ge81 \end{gathered}[/tex]

Then, possible solutions of the inequality are all real numbers greater or equal than 81. From the given set of solution, those numbers that fullfill that requirement are:

[tex]82,\text{ 180 and 99}[/tex]

Transformations that preserve shape and size are called rigid motions. Find a definition of just the word rigid using the internet and write it below.

Answers

Simply put,

Rigid means not moving.

In transformations, rigid motions are transformations that preserve distance.

How do I solve it and what would be the answer

Answers

The quotient is x² + 4x + 3

Yes, (x - 2) is a factor of x³ + 2x² - 5x - 6

Explanation:[tex](x^3+2x^2\text{ - 5x - 6) }\div\text{ (x - 2)}[/tex][tex]\begin{gathered} x\text{ - 2 = 0} \\ x\text{ = 2} \\ \\ \text{coefficient of }x^3+2x^2\text{ - 5x - 6:} \\ 1\text{ 2 -5 -6} \\ \\ We\text{ will divide the coefficients by 2} \end{gathered}[/tex]

Using synthetic division:

[tex]\begin{gathered} (x^3+2x^2\text{ - 5x - 6) }\div\text{ (x - 2) = }\frac{(x^3+2x^2\text{ - 5x - 6)}}{\text{(x - 2)}} \\ \frac{(x^3+2x^2\text{ - 5x - 6)}}{\text{(x - 2)}}\text{ = quotient + }\frac{remai\text{ nder}}{\text{divisor}} \\ \\ The\text{ coefficient of the quotient = 1 4 3} \\ \text{The last number is zero, so the remainder = 0} \end{gathered}[/tex][tex]\begin{gathered} \frac{(x^3+2x^2\text{ - 5x - 6)}}{\text{(x - 2)}}=1x^2\text{ + 4x + 3 + }\frac{0}{x\text{ - 2}} \\ \text{quotient }=\text{ }x^2\text{ + 4x + 3} \end{gathered}[/tex]

For a (x - 2) to be a factor of x³ + 2x² - 5x - 6, it will not have a remainder when it is divided.

Since remainder = 0

Yes, (x - 2) is a factor of x³ + 2x² - 5x - 6

Find decimal notation for 100%

Answers

The decimal notation of percentage is the quotient of the percentage divided by 100.

So it follows that :

[tex]\frac{100\%}{100}=1[/tex]

The answer is 1

George filled up his car with gas before embarking on a road trip across the country. The capacity of George's gas tank is 12 gallons and her car uses 2 gallons of gas for every hour driven. Make a table of values and then write an equation for G, in terms of t, representing the number of gallons of gas remaining in George's gas tank after t hours of driving.

Answers

Given that the capacity of George's gas tank is 12 gallons and her car uses 2 gallons of gas for every hour driven.

[tex]\begin{gathered} G_{\circ}=12 \\ m=-2 \end{gathered}[/tex]

slope m is negative since the gas is reducing every hour.

Writing the equation for G, in terms of t, representing the number of gallons of gas remaining in George's gas tank after t hours of driving.​

[tex]\begin{gathered} G=G_{\circ}+mt \\ G=12+(-2)t \\ G=12-2t \end{gathered}[/tex]

The equation for G is;

[tex]G=12-2t[/tex]

Calculating the number of gallons remaining in the tank after 0,1,2 and 3 hours, we have;

[tex]\begin{gathered} G=12-2t \\ at\text{ t=0}; \\ G_0=12-2(0)=12 \\ at\text{ t=1}; \\ G_1=12-2(1)=10 \\ at\text{ t=2}; \\ G_{2_{}}=12-2(2)=12-4=8 \\ at\text{ t=3;} \\ G_3=12-2(3)=12-6=6 \end{gathered}[/tex]

Completing the table, we have;

Plot Points & Graph Function (Table Given)

Answers

We have the next function

[tex]y=-\sqrt[]{x}+3[/tex]

We need to calculate some points

x y

0 3

1 2

4 1

9 0

Let's plot the points and then we connect them in order to obtain the graph

Cost of a pen is two and half times the cost of a pencil. Express this situation as a
linear equation in two variables.

Answers

The equation to illustrate the cost of a pen is two and half times the cost of a pencil is C = 2.5p.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the cost of a pen is two and half times the cost of a pencil.

Let the pencil be represented as p.

Let the cost be represented as c.

The cost will be:

C = 2.5 × p

C = 2.5p

This illustrates the equation.

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Find the 5th term of the arithmetic sequence -5x – 5, -123 – 8,- 19x – 11, ...Answer:Submit Answer

Answers

5x – 5, -123x – 8,

- 19x – 11, ...

Difference is =

Other Questions
A recipe uses 6 cups of flour to 1 1/10 cups of milk. If you have 2 cups of flour, how much milk should you use? 9. Which of the following actions would NOT help identify your personalethics?a. Describe yourself.b. Conduct a genetic study of your extended family.c. Identify the influences of your work environment.d. Prepare a list of values that are most important to you. The simple interest charged on a 65 day loan of $1250 is $7.75. Find the annual simple interest rate in precent for this loan round to the nearest tenth of a percent. Use 360 days in 1 year what characterizes all ecdysozoans? ecdysozoans practice suspension feeding. ecdysozoans reproduce clonally (asexually). ecdysozoans are sessile (don't move) in the adult stage. ecdysozoans grow by molting. Writing a research based informative essay about language essay Poikilotetherms - how they use behavior to maintain body temperature A rectangle is bounded by the x-axis and the semicircle y = 49 x2 What length and width should the rectangle have so that its area is a maximum? The radius, R, of a sphere is 5.7 cm. Calculate the sphere's volume, V.Use the value 3.14 for r, and round your answer to the nearest tenth. (Do not round any intermediate computations.) If you were in Brian's shoes (alone, starving and lost) when he was at the raspberrybush, what would you have done? Which type(s) of genetic material can viruses have? Check all that * 5 points apply. [4 answers] Use the cross Products Property to solve the proportions.1. 3/4 = v/142. 5/n = 16/32 A circle has a diameter of 12 inches. Find its exact and approximate circumference and area. What is the magnitude of the x-component of force ? bob is sending a message to alice. he wants to ensure that nobody tampers with the message while it is in transit. what goal of cryptography is bob attempting to achieve? What is the "special way" in which the government borrows money? dan left the white house and drove toward the recycling plant at an average speed of 40 km/h. rob left some time later driving in the same direction at an average speed of 48 km/h. after driving for five hours rob caught up with dan. how long did dan drive before rob caught up? sodapop company has two operating departments: mixing and bottling. mixing has 300 employees and bottling has 200 employees. office costs of $160,000 are allocated to operating departments based on the number of employees. determine the office costs allocated to each operating department. Do you think people have a right to join together and strike if they are treated unfairly by their workplace? Are there other options for their needs to be heard and met? which of the following is a true statement regarding consumer behavior and total utility? a. utility will steadily decrease with each additional purchase. b. utility will increase with each additional purchase, but at a decreasing rate. c. utility will increase with each additional purchase, at an increasing rate. d. utility will continue to increase at a steady rate with every additional purchase. I will give 100 points to anyone who can answer my question.