Could I please get help with finding the correct statements and reasonings. I think I messed up line number four because it keeps saying the line is incorrect and that I can not validate it l but

Given the equation system:

The first step is to replace the first equation in the second equation

With this, we have a one unknown equation. Now we can calculate the value of x:

Now that we know the value of x, we can determine the value of y, by replacing x=5 in the first equation

This system has only one solution and that is (5,20)

Answer: - 9, - 3, 3, 9, 15, 21

Explanation:

The given formula is

an = a(n - 1) + 6

a1 = - 9

where

n, n - 1 and 1 are subscripts

This is a recursive formula. Each term is defined with respect to the term before it.

From the information given,

first term = a1 = - 9

Second term = a2 = a(2 - 1) + 6 = a1 + 6 = - 9 + 6

a2 = - 3

Third term = a3 = a(3 - 1) + 6 = a2 + 6 = - 3 + 6

a3 = 3

Fourth term = a4 = a(4 - 1) + 6 = a3 + 6 = 3 + 6

a4 = 9

Fifth term = a5 = a(5 - 1) + 6 = a4 + 6 = 9 + 6

a5 = 15

Sixth term = a6 = a(6 - 1) + 6 = a5 + 6 = 15 + 6

a6 = 21

Thus, the first six terms are

- 9, - 3, 3, 9, 15, 21

We have:

x = total pens

n = number of black pens

so:

and for black pen:

answer: 2 black pens

The solution for the given inequality is x >7.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number and a graph solution for the given inequality.

The given inequality is [tex]1-\frac{6}{7}x < -5[/tex] . Then,

          [tex]-\frac{6}{7}x < -5 -1\\ \\ -\frac{6}{7}x < -6[/tex]

          [tex]-\frac{6}{7}x < -6 *(-1)\\ \\ \frac{6}{7}x > 6[/tex]

         [tex]\frac{6}{7}x > 6\\ \\ 6x > 42\\ \\ x > \frac{42}{6} \\ \\ x > 7[/tex]

You should also show the results t > 7 in a number line. Thus, plot the number line. See the attached image.

Read more about inequalities here.

brainly.com/question/25275758

#SPJ1

We have the following:

Martin's graph is good and correct, although it is not totally straight, but the relationship that it keeps is totally proportional.

On the other hand, Isabelle's graph, although it is totally straight, is wrong, because she must start from 3, which is the rental value of the shoes, and her graph starts at 0, therefore it is wrong, despite of which shows a proportional relationship.

Therefore the correct answer is Martin's graph.

Answer:

Step-by-step explanation:

The lateral area of a cylinder is:

r is the radius

h is the height

For the given cylinder:

As the diameter is 4m, the radius is half of the diameter:

h=12m

First, calculate the slope (m) of both lines.

Line 1:

Point 1 = (x1,y1) = (1,4)

Point 2 = (x2,y2) = (-2,5)

Replacing:

Line 2:

Point 1 = (x1,y1) = (1,0)

Point 2 = (x2,y2) = (0,3)

Lines to be parallel must have the same slope, and to be perpendicular, they must have negative reciprocal slope.

None of the slopes are equal or negative reciprocal. SO, A and B are false-

Now, for the increase/ decrease

We can see that both lines have a negative slope, so they both decrease.

Correct option: C

The volume of the cylinder is

The diameter of the cylinder is 25 feet, then

The radius of it = 1/2 x diameter

Since the height is 4.5 ft

Substitute them in the rule above

Now we will change the cubic feet to gallons

Then multiply the volume by 7.48 to find the number of gallons

Now let us divide the number of gallons by 3000 to find how many gallons of liquid chlorin he needs to buy

Then he has to buy 6 full gallons

Step by step explanation:

sum of co-exterior angle is 180°

(10x-48)+(6x)=180°

4x-48=180°

4x=180-48

4x=132

x=132/4

x=33

Answer: a is 51

Step-by-step explanation:

Hope this help.

Answer:

a==51

Step-by-step explanation:

15=a/3-2

a/3-2+2=15+2

a/3=17

a=17*3

a=51

A hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set.

Therefore, a hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set.

To learn more about hyperbola refer to:

brainly.com/question/26250569

#SPJ1

The figure for the height of flagpole, wire and ground is,

Determine height of the pole by using the pythagoras theorem in triangle.

Thus, height of the flagpole is 32.08 feet.

The binomial probability of x successes is 0.302.

Since we are dealing with a binomial probability experiment. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r . q^n-r

Given: n=10, p=0.2, x=2

The failures can be calculated using q = 1 - p = 1 - 0.2 = 0.8

P(x = 2) =  10C2 x 0.2²  x 0.8¹⁰⁻²

            = 10!/(10-2)! 2!  x 0.2² x 0.8⁸

            = 10!/(8!2!)  x 0.2² x 0.8^8

            = 10x9x8!/(8!2!)  x 0.2² x 0.8⁸

            = 45 x 0.2² x 0.8⁸

           = 0.302

Therefore, the probability of x successes in 10 trials is 0.302

Learn more about binomial probability distribution on:

https://brainly.com/question/29220138

#SPJ1

SOLUTION:

Step 1:

In this question, we are given the following:

Solve the system of equations y = 5x + 1 and -2x + 3y =-10 ?

What is the solution?

Step 2:

The solution to the systems of equations:

check:

Given y = -4 , x = -1

Let us put the values into the equation:

y = 5x + 1 and -2x + 3y = -10

CONCLUSION:

The solution to the system of equations are:

hello

to solve this simple equation, we need to follow some simple steps.

step 1

multiply through by 3

we are doing this to eliminate the fraction and it'll help us solve this easily

notice how the equation haas changed suddenly? well this was done to make the question simpler and faster to solve.

step 2

collect like terms and simplify

step three

divide both sides by the coefficient of k which is 6

from the calculations above, the value of k is equal to 14/3

The distance between the two points is [tex]2\sqrt{13} units[/tex]

What is distance formula?

Distance formula is the measurement of distance between 2 points. It calculates the straight line distance between the given points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2} +(d-b)^{2} }[/tex] Where A(a, b) B(c, d) Are the coordinates.

We are given the coordinates as (-2, 1) and (4, -3)

We substitute the values in the distance formula we get

[tex]distance=\sqrt{(c-a)^{2} +(d-b)^{2} } \\distance=\sqrt{(4+2)^{2} +(-3-1)^{2} }\\ distance=\sqrt{36+16 } \\distance=\sqrt{52 } \\distance =2\sqrt{13}[/tex]

Hence the distance between two points is [tex]2\sqrt{13} units[/tex]

To learn more about distance formula please refer

https://brainly.com/question/661229

#SPJ13

Given:

There are two equation given in the question.

Required:

We have to find the lowest common denominator of both equation.

Explanation:

are given equations

first of all we need to factorization both denominator

so here (p+2) is common in both so take (p+2) for one time only

so now the lowest common denominator is

Final answer:

The lowest common denominator for given two equations is

the measure of each angle will be 2340/n then if n=15 the measure of each one of the angles will be 2340/15=156 degrees

1 lote = 5/8 cup yellow + 5/8 cup blue

29 lotes = 29(5/8) +29(5/8) cups

29 lotes = 58(5/8)= (58*5)/8=290/8=145/4

145/4 =35.25 cups of paint

Since J is the midpoint of the CT segment, then:

Now, you can solve the equation for x:

Replace the value of x into the equation for segment CJ or segment JT to find out what its measure is. For example in the equation of the segment CJ:

Finally, you have

Therefore, the measure of the segment CT is 74.

To solve the exercise, it is easier to make a drawing, like this

So, you have

Now solving

Therefore, the length of the longest piece is 60ft.

c) Set x to be the number we need to find; therefore, the inequality to be solved is

Therefore, any number greater than 1/2 (greater, not equal to) satisfies the inequality; particularly 1/1=1>1/2. Thus, 1/1 is a possible answer

Notice that in the statement of the exercise are the values of a, b and c. Then, to evaluate the given expression, we replace the given values of a, b, and c. So, we have:

Therefore, the result of evaluating the given expression when a = 9, b = 3, and c = 7.4 is 1.4.

The GCF of these monomials i.e, 28g^5h^2 and 12g^6h^5 is 4h^2g^5

What is monomials?

Monomial expressions include only one non-zero term. Numbers, variables, or multiples of numbers and variables are all examples of monomials.

First take the coefficient ie, 28 and 12 to find the GCF

The GCF of 28 and 12 is 4

Now, find out the GCF of the variables for that you take the lowest exponent from both the variables g and h

for g variable it will be g^5 and,

for h variable it will be h^2

Therefore, the GCF of these monomials is 4h^2g^5

To read more about the monomials.

https://brainly.com/question/25870256

#SPJ13

Given the statement:

Vertical angles are always equal to each other

The answer is: True

Because they are inclosed by the same lines

Answer:

Area= 24π.

Explanation:

The area of a sector is calculated using the formula below:

From the diagram:

• The central angle, θ = 60°

Diameter of the circle = 24

• Therefore, Radius, r = 24/2 = 12

Substitute these values into the formula:

The area of the sector in terms of pi is 24π square units.

Solution

To solve the inequality we need to find the x-values that are the roots of the quadratic equation, let's use the quadratic formula:

Now, let's try values less or greater than these roots:

If x=-1:

Now let's try x=3:

Then, the graph of the inequality is:

The red-shaded area are the solution to the inequality, then in interval notation we have:

In builder notation it would be:

We are given two similar triangles which are;

Note that the sides are not equal, but similar in the sense that the ratio of two sides in one triangle is equal to that of the two corresponding sides in the other triangle.

To calculate the length of side BC, we can use any of the following ratios (proportions);

Using the first ratio as stated above, we shall have;

Next we cross multiply and we have;

ANSWER:

we know that

the circumference of a circle is giving by

we have

C=30pi

substitute

Find the area of the circle

substitute the value of r