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Tju [1.3M]
2 years ago
13

the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is

x + 8. find the expression repressing the width of the box
Mathematics
1 answer:
Zinaida [17]2 years ago
7 0
X^2+6x-16= volume
LWH=volume
(x+2)W(x+8)=x^2+6x-16
W=(x^2+6x-16)/[(x+8)(x+2)]=[(x+8)(x-2)]/{(x+8)(x+2)}=
W=(x-2)/(x+2)


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Find the 7th term of the geometric sequence a3 =128,r=-1/4
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Answer:

Step-by-step explanation:

The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1).  We don't yet know a(1).

If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or

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resulting in the specific formua a(n) = 8(-1/4)^(n - 1)

Now let's find a(7):

a(7) = 8(-1/4)^1 * (-1/4)^(6)

or

a(7) = 8(-1/4)^7

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