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Yuliya22 [10]
3 years ago
10

Factor 5x^2 + 16x – 16

Mathematics
2 answers:
UkoKoshka [18]3 years ago
7 0

Answer:

(x + 4)(5x - 4)

Step-by-step explanation:

5x^2 + 16x – 16 \\  = 5x^2 + 20x  - 4x– 16 \\  = 5x(x + 4) - 4(x + 4) \\  = (x + 4)(5x - 4)

8_murik_8 [283]3 years ago
3 0

Answer:

 (5x - 4) • (x + 4)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   5 • -16 = -80

Find two factors of  -80  whose sum equals the coefficient of the middle term, which is   16 .

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  20  

                    5x2 - 4x + 20x - 16

Add up the first 2 terms, pulling out like factors :

                   x • (5x-4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (5x-4)

Add up the four terms of step 4 :

                   (x+4)  •  (5x-4)

            Which is the desired factorization

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6 0
3 years ago
The total cost of a jacket and a pair of pants was $66.12. If the price of the jacket was $3.26 less than the pair of pants, wha
drek231 [11]

Answer:

The price of the jacket was $31.43

Step-by-step explanation:

Let the cost of a jacket = x

Let the cost of a pair of pants = y

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From the conditional statement,

x = y - $3.26..........Equation 2.

Solve both equations simultaneously, using the substitution method

From Equation 2;

x = y - 3.26

Substitute y - 3.26 for x in Equation 1.

x + y = 66.12, now becomes,

y - 3.26 + y = 66.12

collect like terms

y + y = 66.12 + 3.26

2y = 69.36

y= 69.36/2 = $34.69.

Put y = $34.69 in Equation 2. to obtain x

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4 0
3 years ago
Cuanto es 3√32-2√50+√72
olga55 [171]

Answer:

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3 0
3 years ago
Read 2 more answers
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