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Blizzard [7]
3 years ago
10

The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3

− 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Mathematics
2 answers:
Levart [38]3 years ago
5 0

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

JulsSmile [24]3 years ago
3 0

Answer:

  1. Answer is x–4

Step-by-step explanation:

I hope you understand

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telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

-  \frac{10}{19}  \div ( -  \frac{5}{7} )

We multiply by the reciprocal of the second fraction:

-  \frac{10}{19}   \times  ( -  \frac{7}{5} )

We cancel out the common factors to obtain:

-  \frac{2}{19}   \times  ( -  \frac{7}{1} )

We multiply to get

\frac{ - 2 \times  - 7}{19 \times 1}

This simplifies to :

\frac{14}{19}

The correct answer is C

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Answer:2/16

Step-by-step explanation:

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kkurt [141]

Answer:

25/64

Step-by-step explanation:

ratio of perimeters = 15/24 = 5/8

ratio of areas = square of ratio of perimeters

ratio of areas = (5/8)^2 = 25/64

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