Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and
is some constant)
Substitute point (0, -4) into the equation:

Substitute point (-2, 8) and
into the equation:

Substitute point (1, -1) and
into the equation:

Equate to find h:

Substitute found value of h into one of the equations to find a:

Substitute found values of h and a to find k:

Therefore, the equation of the parabola in vertex form is:

So the vertex of the parabola is (0, -4)
Answer:
y = 7x + 12
Step-by-step explanation:
Slope (m) = 7
Line is passing through the point (0, 12)
y-intercept (b) = 12
Equation of line in slope-intercept form is given as:

Divide 35423 by 15 and round the answer down to a whole number, then you get 2361. If you subtract 15*2361 from 35423 you get the remainder 8. So answer C is correct.
Answer:

Step-by-step explanation:
The triangle is shown in the attachment.
Recall that;

This implies that;

We substitute the values into the ratio to obtain

$100 - $49.95 = $50.05
You have $100, and just renting costs $49.95, leaving $50.05 left.
$50.05 / $0.39 = 128.3
Out of your money left ($50.05) you divide my how much it costs in a day, to get how many miles you can go.
The answer is 128.3, but if you were going a round trip (there and back) you would do 128.3 / 2 = 64.16, meaning you can go 64 miles and come back, all for a hundred dollars (still 128 miles in total though)