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 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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(3+6i)(4-4i) simplify

A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!

what's 12+12+12?
_______


.

some more math stuff I don't know of :(

Evaluate.

−[−1 2/5÷0.7(1.8)]−2/3

What is the value of the expression?

Enter your answer as a simplified mixed number in the box.

Split 70 into the ratio 3:4? I don't understand ratio :(

hihii who knows the answer to this question??

Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

think of two numbers which when add give 5 and substracts give 1​

7. Write an inequality that matches the graph shown.

Stop and answer this question

The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?

Complete the equation line through (1,4) and (2,2) use exact numbers

hey i need help on this question even if you can only answer one of the three boxes

but if someone can do 2 or more that would be very apricated

thanks!

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.

What is the Factor of 3/9+8/9

The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%

Graph the lines y=3x+3

Is 4/9 equivalent to 8/16

What is the value of x?
A) 3
B) 6
C) 8
D) 1

Question 1 of 10
Using the graph as your guide, complete the following statement.
The discriminant of the function is
101
HA
-10
10

Guided Practice

In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.

Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.


Which point is the vertex of y = 2x^2 + 1?


A.
(0, 0)


B.
(0, 1)


C.
(1, 0)


D.
(1, 1)

Check Answer

Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.

Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)​

Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0

PLZ HELP ITS TIMED AND IM STUCK

You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?

Which graph represents the function f (x) = –| x - 3| + 1

The ratio of red cars to blue cars in a parking lot was 9 : 7. If there were 72 red cars, how many blue cars were there?

Find an equation of the vertical line through (4,-9)

plz help??????????????????????