Answer:
Variable
represents the slope of the equation.
Step-by-step explanation:
Given that the administrative fees that company charge is $3.50.
Also, the Zhao has a bill of $63.25.
The equation used by Zhao is

We can compare the equation of a line in the slope-intercept form.

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.
Also, variable
that is the rate per kilowatt-hour (kWh) represents the slope of the equation.
Answer:
Correct option: first one -> y = (1/3)x + (10/3)
Step-by-step explanation:
The linear function that represents a line is:
y = ax + b
Where a is the slope and b is the y-intercept.
First we need to find the slope of the line that goes through (0, -3) and (3, -2).
Using both points, we can find the equation of the line:
x = 0 -> y = -3
-3 = a*0 + b
b = -3
x = 3 -> y = -2
-2 = 3a - 3
3a = 1
a = 1/3
The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:
y = (1/3)x + b
The parallel line goes through the point (-4, 2), so we have:
x = -4 -> y = 2
2 = (1/3)*(-4) + b
b = 2 + (4/3)
b = 10/3
So the equation of the parallel line is:
y = (1/3)x + (10/3)
Correct option: first one
Answer:
f(-3)= <em><u>-</u></em><em><u>5</u></em>
g(4)= <em><u>7</u></em>
Step-by-step explanation:
here f(x)= -5, clearly it's not depending on 'x' ,so it will have same value,for all x
i.e, f(-3) is also -5
and, g(x)=2x-1
to get g(4) put x=4 in <u>2</u><u>x</u><u>-</u><u>1</u>
i.e, (2×4)-1 =7
✌️:)
Answer:x=5
Step-by-step explanation:
First we do the parenthesis
-4(7+2x)=-7x-33
To get
-28+-8x=7x+-33
and
-8x-28=-7x-33
Then we Add 7x to both sides.
-8x-28+7x=-7-33+7x
-x-28=-33
Then we Add 28 to both sides.
-x-28+28=-33+28
-x=-5
Lastly Divide both sides by -1.
-x/-1=-5/-1
X=5