Is 4x+2y=8 the same as y=-2+4

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

Can see please help me with the 2 equations (in the picture) find x

Lunna [17]

Answer:

1. x = 2

2. couldn't figure out. sorry

Step-by-step explanation:

8 0

3 years ago

Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.

LiRa [457]

The slope is 0, since it is still 4 miles long for 11 days

hope this helps

this means that nothing is growing or decreasing

6 0

3 years ago

Graph the line that passes through the points (6, -4) and (7, -4) and determine the equation of the line.

Fantom [35]

Answer:

the equation in slope intercept is y = -4.

ot your points and it is a straight line across..no slope.

8 0

3 years ago

A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th

Softa [21]

<u>Answer-</u>

$\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}$

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So $f(0)=150$

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

$\Rightarrow f(1)=0.8(150)+10$

$\Rightarrow f(1)=0.8(f(0))+10$ $(\because f(0)=150)$

Again after one month total number of laptops in the store,

$\Rightarrow f(2)=0.8\times (0.8(150)+10)+10$

$\Rightarrow f(2)=0.8(f(1))+10$ $(\because f(1)=0.8(150)+10)$

Analyzing the pattern, the recursive function f(n) will be,

$f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0$

3 0

3 years ago

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