3 years ago

Factor the equation 5x^2+60x+160

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

Answer:

5(x+4)(x+8)

Step-by-step explanation:

5x^2+60x+160

factor out the 5 first,

5(x^2+12x+32),

then factor out the trinomial,

find 2 numbers that when they multiply,

you get the third term, which is 32 in this case,

and when they add up,

you get the second term, which is 12 in this case.

5(x+4)(x+8)

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Ghella [55]

$10-\frac{3x-1}{2} =\frac{6x+3}{11}$

$10 = \frac{6x+3}{11} + \frac{3x-1}{2}$

$10 = (\frac{6x+3}{11} \times \frac{2}{2} ) + (\frac{3x-1}{2} \times \frac{11}{11} )$

$10 = ( \frac{2(6x + 3)}{22} ) + ( \frac{11(3x - 1)}{22} )$

$10 = \frac{12x + 6}{22} + \frac{33x - 11}{22}$

$10 = \frac{12x + 6 + 33x - 11}{22}$

$10 = \frac{(12 x + 33x) + (6 - 11)}{22}$

$10 = \frac{45x - 5}{22}$

$10 \times 22 = 45x - 5$

$220 = 45x - 5$

$220 + 5 = 45x$

$225 = 45x$

$\frac{225}{45} = x$

$\frac{45}{9} = x$

$5 = x$

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2 years ago

If x−3=5, what is the value of 2(x+4)?

Wittaler [7]

Answer:

Step-by-step explanation:

x-3=5, solve for x so that x=5+3

now put this in place of x in the expression 2(x+4)

2[(5+3)+4]

2(8+4)

2(12)

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