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3 years ago

Given the table, what is the y-intercept of the linear function?

Mathematics

1 answer:

motikmotik3 years ago

6 0

Step-by-step explanation:

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Dwayne walks a total of 960 feet around 3 sides of a square city block. Which

Ugo [173]

Answer:

The perimeter is 1280ft

Step-by-step explanation:

Let the side length of the square be s.

Then the distance around three sides is 3s.

According to the question the distance around 3 sides of a square city block is 960 feet.

This implies that:

$3s = 960$

$s = \frac{960}{3}$

$s = 320$

The perimeter of a square is

$p = 4s$

Substitute s=320 to get:

$p = 4(320)$

$p = 1280$

The perimeter is 1280 ft

5 0

3 years ago

Read 2 more answers

Which number line shows the solution set to this inequality? -2x + 9 < x − 9

kotykmax [81]

Answer:

see below

Step-by-step explanation:

-2x + 9 < x − 9

Add 2x to each side

2x-2x + 9 < 2x+x − 9

9 < 3x-9

Add 9 to each side

9+9 < 3x

18 < 3x

Divide each side by 3

18/3 < 3x/3

6 < x

Open circle at 6 line going to the right

5 0

3 years ago

10- 3/4z = 8<br><br> Somebody, please help me! I don't get this!

gizmo_the_mogwai [7]

Answer:

z = 8/3

Step-by-step explanation:

10- 3/4z = 8

Subtract 10 from each side

10-10- 3/4z = 8-10

-3/4z = -2

Multiply each side by -4/3

-3/4z * -4/3 = -2 *4/3

z = 8/3

6 0

2 years ago

This week beth made 10 more then twice the number of cookies she made last week,x. Which expression represents the total numbwr

Lapatulllka [165]

2x + 10 is the answer to the question

7 0

3 years ago

The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

kotegsom [21]

Answer:

$y=-\frac{1}{3} (x-5)^2+3$

Step-by-step explanation:

We are given the following;

Vertex of a quadratic function = (5,3)
A point where the function passes through (-1, -9)

Required to determine the equation of the function;

We need to know the vertex form of a quadratic function is;

$y=a(x-h)^2+k$ , where h and k correspond to the vertex (h,k)

Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

$y=a(x-5)^2+3$

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

$-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}$

Substituting the values of a, h and k in the equation, we get;

$y=-\frac{1}{3} (x-5)^2+3$

Thus, the equation of the function in the vertex form is $y=-\frac{1}{3} (x-5)^2+3$

8 0

3 years ago