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3 years ago

3x^2+7x+2 how to factor

Mathematics

2 answers:

Hunter-Best [27]3 years ago

6 0

Work is attached in the image provided.

For your second pair of binomials, (3x + 1)(x + 2), the product of the outer terms is 6x and the product of the inner terms is 1x and 6x + 1x = 7x which is the middle term in you're original trinomial.

So the second pair of binomials represents your answer.

AVprozaik [17]3 years ago

3 0

$3 {x}^{2} + 7x + 2 \\ = 3 {x}^{2} + 6x + x + 2 \\ = 3x(x + 2) + 1(x + 2) \\ = (3x + 1)(x + 2)$

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3 years ago

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

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2 years ago

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...

nalin [4]

Answer:

summation of five times negative three to the power of n from n equals zero to infinity

Step-by-step explanation:

Summation Notation

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

$\sum_{n=0}^{\infty}5(-3)^n$

This corresponds with the option:

summation of five times negative three to the power of n from n equals zero to infinity

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3 years ago

3x^2+7x+2 how to factor​

3x^2+7x+2 how to factor