Composite numbers are numbers that are not prime.
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7
i hope this helps!
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields
She can make 75 cakes with 15 cups of flour