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baherus [9]
3 years ago
10

Factor completely 5x2 − 50x + 120.

Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:

<h2>Q1. d. 5(x - 4)(x - 6)</h2><h2>Q2. b. (8x - 1)(8x + 1)</h2>

Step-by-step explanation:

\bold{Q1}\\\\5x^2-50x+120=5(x^2-10x+24)=5(x^2-6x-4x+24)\\\\=5\bigg(x(x-6)-4(x-6)\bigg)=5(x-6)(x-4)\\\\\bold{Q2}\\\\64x^2-1=(8x)^2-1^2=(8x-1)(8x+1)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)

GenaCL600 [577]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

1

Given

5x² - 50x + 120 ← factor out 5 from each term

= 5(x² - 10x + 24)

To factor the quadratic

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term ( - 10)

The factors are - 4 and - 6, since

- 4 × - 6 = 24 and - 4 - 6 = - 10, hence

x² - 10x + 24 = (x - 4)(x - 6) and

5x² - 50x + 120 = 5(x - 4)(x - 6) → d

2

64x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

64x² = (8x)² ⇒ a = 8x and b = 1

64x² - 1

= (8x)² - 1² = (8x - 1)(8x + 1) → b

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Answer:

Step-by-step explanation:

Let x be the purchase price

5% of x = $ 174

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3 years ago
A grocer is stocking cans of beans on his shelf for a 7-day week and will
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Answer:

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Step-by-step explanation:

<u>Given inequality:</u>

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4x + 1/3 y 2 what is the value of the expression above when x = 2 and y = 3
GenaCL600 [577]
Hoi!

To solve this, first plug in the values for x and y.

x = 2, so anywhere you see x, put 2 in its place.

y = 3, so anywhere you see y, put 3 in its place.

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2 years ago
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Solve the equation<br> 0.2(d-6)=0.3d+5-3+0.1d for d
WINSTONCH [101]

Answer:

d= -16

Step-by-step explanation:

To answer this question you'll have to first simplify the equation to

0.2d+-1.2=0.3d+5-3+0.1d

then combining like terms you get

0.2d-1.2=(0.3d+0.1d)+(5+-3)

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then subtract 0.4d from both sides leaving you with

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then add 1.2 to both sides

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after you divide both sides by -0.2

leaving you with the answer

D= -16

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2 years ago
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