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Alina [70]
3 years ago
11

Factor the following polynomial completely. 2x2 – 10x – 28

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

2(x - 7)(x + 2)

Step-by-step explanation:

Given

2x² - 10x - 28 ← factor out 2 from each term

= 2(x² - 5x - 14) ← factor the quadratic

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2 , since

- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus

x² - 5x - 14 = (x - 7)(x + 2) and

2x² - 10x - 28 = 2(x - 7)(x + 2)

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Melanie is 2 years older than twice her brother Bill’s age. If Bill is 5 years old,how old is Melanie
arlik [135]

she would be 12 because

10 * 2 = 10

10 + 2 = 12

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8 0
3 years ago
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Create write an expression that simplifies to 2a + 14 using the distributive property
geniusboy [140]

Answer:

2 ( a + 7)

Step-by-step explanation:

2a + 14

both 2a and 14 are divisible by 2

2a/a = a

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4 0
3 years ago
Solve the equation <br>y=2x-4, 3x+y=11​
Ostrovityanka [42]

Answer:

(3, 2)

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

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5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = (2 × 3) - 4 = 6 - 4 = 2

Solution is (3, 2)

5 0
3 years ago
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3(x + 5)2 + 6 vertex
Tanya [424]

Answer:

The equation does not match the form of any conic section.

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Step-by-step explanation:

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3 years ago
If Susan earn 1,800 per month and her rent is 504 per month, what percent of her income is spent on rent?
svetoff [14.1K]
504÷1800=0.28
28% of her income goes to her rent
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3 years ago
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