find the slope of the line

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

[tex]\red{\bold{Answer:}}[/tex]

z1 Multiplied by z1 = z(1 + 1) = z2

[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]

= (3•2³x3y2z²)

The resulting temperature was 25oF.

Answer: $11

Step-by-step explanation:

To have the same:

11+8=19

19×2=38

Answer:

It would be $11

Step-by-step explanation:

Hope it helps (Could you mark brainliest please)

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=4x+4[/tex]

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

Answer:

C

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

c is the answer to this problem

Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.

First, 7990 rounded to the nearest ten is:

7990

Answer:

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, it is a right triangle so an angle is 90 °, you know another one and it is 80 °, from 180 ° you remove the two known angles and you have the measure of the unknown one.

180 - 90 - 80 =

10°

Answer:

3x4=12

12 coins in her collection

Step-by-step explanation:

25x4=100%

Answer:

10.658

hope it helps

Answer:

10.658

Step-by-step explanation:

14.6 = 100%

? = 73%

73% ÷ 100% x 14.6

= 10.658

10.658 = 73%

Answer:

A. = 100.84 m

B. 571.384 cubic m

Step-by-step explanation:

a.

33.22+33.22+17.2+17.2 =100.84m

b.

33.22x17.2 = 571.384 m2

Answer:5868<9845<91387<969156

Step-by-step explanation:

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Answer:

B) x = 2

Step-by-step explanation:

1 + 1 = x

2 = x

1 + 1 = 2

Answer:

c. 60 mins

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

Answer:

Step-by-step explanation:

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Answer:

You can expand this with this rule:

[tex]a(b+c)=ab+ac[/tex]

Similarly,

[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]

[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]

Answer:

Step-by-step explanation:

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