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3 years ago

Subtract 8x + 2 from 4x – 6

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

-4x-8

Step-by-step explanation:

First, set them up as (4x-6) - (8x +2).

Then simplify.

4x-6-8x-2

4x-8x-6-2

-4x-8

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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

In the kite , AK=9 , JK=15 , and AM=16 .

Veronika [31]

Answer:

The Length of JM is 20.

Step-by-step explanation:

Given,

JKLM is a kite in which JL and KM are the diagonals that intersect at point A.

Length of AK = 9

Length of JK = 15

Length of AM = 16

Solution,

Since JKLM is a kite. And JL and KM are the diagonals.

And we know that the diagonals of a kite perpendicularly bisects each other.

So, JL ⊥ KM.

Therefore ΔJAK is aright angled triangle.

Now according to Pythagoras Theorem which states that;

"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".

$JK^2=KA^2+AJ^2$

On putting the values, we get;

$(15)^2=9^2+AJ^2\\\\225=81+AJ^2\\\\AJ^2=225-81=144$

On taking square root onboth side, we get;

$\sqrt{AJ^2} =\sqrt{144}\\\\AJ=12$

Again By Pythagoras Theorem,

$AJ^2+AM^2=JM^2$

On putting the values, we get;

$JM^2=(12)^2+(16)^2\\\\JM^2=144+256=400$

On taking square root onboth side, we get;

$\sqrt {JM^2}=\sqrt{400}\\\\JM=20$

Hence The Length of JM is 20.

4 0

3 years ago

Math: x+6y=12 solve for y<br> plz help me asap thankss

olga_2 [115]

X+6y=12
6y=12-x
y=12/6- x/6

y=(-1/6)(x)+2

4 0

3 years ago

Answer the following questions regarding the graphed inequality.

arsen [322]

Answer:

m = 0.5, b = 2, greater than symbol >

Step-by-step explanation:

Slope:

We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)

Rise ÷ Run

1 ÷ 2 = 0.5

Y-Intercept:

The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2

Inequality:

The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >

3 0

3 years ago

Can Somebody Help with number 2

Vinvika [58]

Because they are fractions which can't be more than one or they are negative

4 0

3 years ago