Every student in my school is in either French class or Spanish class, or both. Let x be the number of students in French class,
1 answer:
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Answer:
B. E(s) = s^3 - 29.
Step-by-step explanation:
The amount of empty space inside the cubic box is equal to the volume of the box minus the volume of the softball.
If the side length of the cubic box is , and the volume of the softball is
, then the amount of empty space
inside is
,
where is the volume of the cubic box.
Since it matches the equation we got above, choice B stands correct.
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