Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is

4/10 and 3/10 are the answers
180=2x+y
180-y=2x
(180-y)/2=x
A product is the result of multiplication.
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.
Try plugging in the answers.
x/5=8
A. x=4
4/5=8 (Incorrect, 4 divided by 5 is 0.8)
B. x=8
8/5=8 (Incorrect, 8 divided by 5 is 1.6)
C. x=40
40/5=8 (Correct, 40 divided by 5 is 8)
D. x=80
80/5=8 (Incorrect, 80 divided by 5 is 16)
So your answer is C. 40
The quotient of 40 and 5 is 8.