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Debora [2.8K]
3 years ago
12

URGENT HELP ASAP

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Answer:

(2x - 1)

Step-by-step explanation:

  • <em>Volume of a rectangular prism is: V = lwh, where l= lenght, w= width, h= height</em>
<h3>Given</h3>
  • V = 36x³ + 60x² + x - 20
  • l = (3x + 4)
  • w = (6x + 5)

and

  • h = ?
<h3>Solution</h3>

Since the volume is the polynomial of third degree and the two of the factors are of the first degree, the third factor is going to be a first degree  as well in the format of (mx +n)

<u>So we have below equation:</u>

  • 36x³ + 60x² + x - 20 = (3x + 4)(6x + 5) (mx + n)

<u>We can work out the value of m and n:</u>

  • 3x*6x*mx = 36x³
  • 18mx³ = 36 x³
  • m = 2

<u>And</u>

  • 4*5*n = -20
  • 20n = -20
  • n = -1

So we get the factor of (mx + n) = (2x - 1)

<u>Therefore </u>

  • h = (2x - 1)

<u>Proof of the polynimial is correct:</u>

  • (3x + 4)(6x +5)(2x - 1) =
  • (18x²+39x+20)(2x - 1) =
  • 36x³ - 18x² + 78x² - 39x + 40x - 20 =
  • 36x² + 60x² + x - 20

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Musya8 [376]

Answer:

y + 2 = \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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y - 4 = \frac{2}{3}(x - 3) ← is in point- slope form

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Answer:

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hope this helps

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Step-by-step explanation:

4 0
3 years ago
What is the average rate of change for ƒ(x) = −2^x + 70 over the interval 2 ≤ x ≤ 6? A) −15 B) −16 C) −30 D) −32
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Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [a, b ] is

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Answer:

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Step-by-step explanation:

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Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -40 .

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Answer:

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The answer will be negative distance of the atmosphere.

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3 years ago
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