3 years ago

Please help me fast!

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

There was 245 hamburgers sold

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

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3 years ago

Rex weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?

Anna11 [10]

So increased weight = 92-80 = 12

so ℅ = 12×100/80 = 15

so his weight is increased by 15℅ !!

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3 years ago

Zoe keeps track of the miles per gallon her car gets per week. She has accumulated the following data:

padilas [110]

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KengaRu [80]

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3 years ago

Round 7,883 to nearest thousand

Stels [109]

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

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