If that's the volume, then the base and height could be anything that multiply together to get that. It could be as simple as pulling out common factors like 16y^2.
16y^2(y^2 + y + 3)
The base area could be 16y^2 and the height could be y^ + y + 3.
Answer: (x - 4)(x - (i))(x + (i))
Step-by-step explanation:
This factoring job lends itself well to synthetic division. Looking at the constant term, -4, I came up with several possible roots based upon -4: {±1, ±2, ±4}. I chose +4 as my first trial root. Sure enough, there was a zero remainder, which indicated that 4 is a root of this polynomial and (x - 4) is a factor. The coefficients of the trinomial quotients are 1 0 1, which indicates a quotient of x^2 + 1, which has the following roots: x = +(i) and x = -(i)
So the complete factorization of the polynomial is (x - 4)(x - (i))(x + (i)).
4 ) 1 -4 1 -4
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Answer:
1
Answer:
2
Step-by-step explanation:
6% 5.34
_____ = _____
100% x
Cross multiply
6x=534
divide both sides by 6
x=89
Answer=89
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of 
is 
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
