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Mama L [17]
3 years ago
6

Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Answer:

  (5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

  -1+40 ≠ 6

  -8+5 ≠ 6

  -4+10 = 6 . . . . . the third selection is the one you want

  -2+20 ≠ 6

Karo-lina-s [1.5K]3 years ago
5 0

Answer:  The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation:  We are given to determine the factors of the following quadratic expression :

E=5x^2+6x-8.

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

5x^2+6x-8=(5x-4)(x+2).

Option (C) is CORRECT.

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mr Goodwill [35]

Answer:

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Step-by-step explanation:

If the second digit after the decimal is 5 or high you round it up

5 0
3 years ago
Read 2 more answers
AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y
mylen [45]

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + -12

Reorder the terms:

16 + 2x = 3x + -12

Reorder the terms:

16 + 2x = -12 + 3x

Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

16 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x

16 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0

16 + -1x = -12 + 0

16 + -1x = -12

Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = -12 + -16

-1x = -12 + -16

Combine like terms: -12 + -16 = -28

-1x = -28

Divide each side by '-1'.

x = 28

Simplifying

x = 28

5 0
3 years ago
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Darya [45]

Answer:

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Step-by-step explanation:

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A golden rectangle is a rectangle whose length is approximately 1.6 times its width.the early greeks thought that a rectangle wi
Scrat [10]
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet

The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:

P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39

If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
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Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
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3 years ago
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