The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.

a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.

y = _______

b. Interpret the slope and y-intercept of the line of fit.

The Table Shows The Total Amounts Y (in Thousands Of Dollars) Of Money A Homeowner Saves On Electric

Answers

Answer 1

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.

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Related Questions

Is -1/2 equivalent to - 1/2

Answers

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Evaluate each expression for a=7,b=4,and c=-3.

3a-5b =________

7-3a+5a+15 =________

15a^2-17〖bc〗^2 =________

Pls help me

Answers

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

Which of the following functions has a factor of x + 1?

f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39

Answers

Answer:

x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)

The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X​

Answers

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100

Answers

I believe it’s b, so sorry if I’m wrong

(3 * 7) + (2 * 5)
[tex](3 \times 7) + (2 \times 5)[/tex]

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3×7=21

2×5=10

21+10=31

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

how to convert m to mm

Answers

You need to multiply the number that is needed to get to mm by 1000

Example: 4m x 1000 = 4000mm
or
4m ——> 4000mm

!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

The answer is A plot the points

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

10 to the power of -2

Answers

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

The answer could be -20 or (10)-2

Can you please help I can’t play in my basketball game Tuesday if I can’t pass this !

Answers

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

how do i find the x and y intercepts of y=2x^2+x-3

Answers

The y intercept for this equation is:
y=-3
Solve the equation: y=2x0^2+0-3

The x intercept for this equation is:
x=-3/2 (x=1)
Have a great day/night

Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.

Answers

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

help for this question, please and thanks​

Answers

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

10 points, please fast !!!!!

Answers

Answer:

2/1 a improper fracrion 1/2 is a proper fraction

Step-by-step explanation: i just know those two sorry

Answer:

slope = 2

Step-by-step explanation:

slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

You will probably have to multiply

David walked for 20 minutes with the speed of 3 mph. How far did he walk?

HELP!!!

Answers

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

-a/6 + 7 = -14 I want to know how to do this

Answers

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

= 215008. 21 in²

Step-by-step explanation:

Why is this wrong?? Trying to do test corrections

Answers

Answer:

See answer below

Step-by-step explanation:

  y = one time fee

  35x = hourly rate( hours worked)

  35x + y = $190

   y =  - 35x = 190

 

  $35 per hours ×  hours work and you did not used the total cost $190

Next time rewrite the sentence and translate into an equation.

The  customers service charges = one-time fee + hourly rate$ ( hours worked)

                                          190   =  y + 35(x)    point slope form

                                        - 35x + 190 = y

Find the value of x and y and each labeled
angle.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

3x - 20° + 2x = 180°

(by linear pair)

now, let's solve for x ~

[tex]5x - 20 \degree = 180 \degree[/tex]

[tex]5x = 180 \degree + 20 \degree[/tex]

[tex]5x = 200 \degree[/tex]

[tex]x = 200 \degree \div 5[/tex]

[tex]x = 40 \degree[/tex]

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

[tex]2x[/tex]

[tex]2 \times 40 \degree[/tex]

[tex]80 \degree[/tex]

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

Hello I need A helping Hand

Answers

Hi!

The second gym has a higher joining fee because it is $50 rather than $30.

The first gym has a higher monthly rate because it is $15 rather than $10

Hope this help!

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

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