Answer:
<u><em>1st equation:</em></u>

Simplify the numerator


(zero divided by any number (other than zero) is zero)
1st equation is correct
<u><em>2nd equation:</em></u>

This is because a negative number divided by a positive number is a negative number.
So,
is incorrect.
2nd equation is incorrect
Answer:
6
Step-by-step explanation:

First, multiply both sides by 3.

Next, combine like terms.

Solve for x.

Yes both equations are equal because when you do distributive property it is the same
Answer:
Slope = 1/2
y-intercept = 30
Equation : y = 1/2x + 30
D. 150 miles
Step-by-step explanation:
We can use the two visible points you marked on the graph.
They are (0,30) which is also the y-intercept and (20,40).
Calculate change of y over change of x.
10/20 or 1/2
So the slope is 1/2 and the y-intercept is 30.
Therefore, using y = mx + b form, the equation is y = 1/2x + 30
Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.
105 = 1/2x + 30
75 = 1/2x
x = 150
Answer:
f(4) = 3
x = -1
Step-by-step explanation:
Line graphed shows a linear function.
Since this line passes through two points (4, 3) and (-1, 4)
Let the function is,
f(x) = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Slope 'm' = 
= 
= 
f(x) = 
Since a point (4, 3) lies on the line,
f(4) = 
3 = 
b = 3 + 0.8
b = 3.8
Therefore, f(x) = -0.2x + 3.8
For x = 4
f(4) = -0.2(4) + 3.8
= -0.8 + 3.8
= 3.0
For f(x) = 4
4 = -0.2x + 3.8
0.2x = 3.8 - 4
x = 
x = -1