Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

There is a graph on my hw test

Ugo [173]

Answer:

or, 2y<7 - 3

or, 2y<4

or, y<4/2

or, y<2

7 0

3 years ago

Draw the graph of the line that is parallel to y−3=1/3(x+2) and goes through the point (1,7).

horrorfan [7]

Answer:

Step-by-step explanation:

First find the slope of the given line.

y - 3 = 1/3(x+2)

y - 3 = (1/3)x + 2/3

y = (1/3)x + 2/3 + 3

y = (1/3)x + 11/3

Compare it with

y = mx + c

We get m = 1/3

As the parallel lines have same slope, the slope of the second line will also be m= 1/3

y = mx + c

y = (1/3)x + c

As this line goes through the point (1,7), substitute it in the equation:

7 = (1/3)1 + c

7 = 1/3 + c

c = 7 - 1/3

c = 21-1/3

c = 20/3

The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation

y = mx + c

y = (1/3)x + 20/3

Graph of the equation is shown

5 0

3 years ago

Will Mark!! The length of a rectangle is represented by 7x- y, and the width is represented by 3x + 4y. Write polynomial that re

nikdorinn [45]

Answer:

2(7x-y) + 2(3x+4y)

7 0

3 years ago

Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic in

irina1246 [14]

We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.

We know that volume of a cube is cube of each side length.

To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.

A. $s^3=18$

$\sqrt[3]{s^3}=\sqrt[3]{18}$

$s=2.62074$

Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.

B. $s^3=36$

$\sqrt[3]{s^3}=\sqrt[3]{36}$

$s=3.301927$

Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.

C. $s^3=64$

$\sqrt[3]{s^3}=\sqrt[3]{64}$

$s=4$

Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.

D. $s^3=100$

$\sqrt[3]{s^3}=\sqrt[3]{100}$

$s=4.641588$

Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.

5 0

3 years ago

Read 2 more answers

Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that fo

guapka [62]

Answer:

y = 0.019x - 7

32.9 therms

0.019 therms

1.9 therms

Step-by-step explanation:

Given the following :

X =size of house (sq ft)

Y = Amount of natural gas used

The general form of a some linear regression model :

y = ßx + a

Where ;

ß = slope or gradient

x = independent variable

y = predicted value

a = y- intercept value

(A)

If ß = slope of population regression line = 0.019

a = y intercept of population regression line = -7

The regression model could be expressed as :

y = 0.019x + (-7)

y = 0.019x - 7

(B)What is the mean value of gas usage for houses with 2100 sq ft of space?

Here x = 2100 sq ft ; Inputting the value of x into the regression equation:

y = 0.019x - 7

y = 0.019(2100) - 7

y = 39.9 - 7

y = 32.9 therms

C) What is the average change in usage associated with a 1 square foot increase in size?

Change in usage associated with change in size can be gotten from :

ßx, where, ß change in y with respect to x ;

x = 1 square foot

ß = 0.019

Change = 0.019*(1) = 0.019 therms

(d) What is the average change in usage associated with a 100 square feet increase in size?

ßx, where, ß change in y with respect to x ;

x = 100 square feet

ß = 0.019

Change = 0.019*(100) = 1.9 therms

6 0

3 years ago