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Flauer [41]
3 years ago
10

Factor 4x^3 + 40x^2 + 100x

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

4 x (x + 5)^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5)^2:

Answer: 4 x (x + 5)^2

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The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
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The complete question is

"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?

a. The domain of this function represents the total cost for a job

b. H is a function of C

c. The painter charges a $35 service fee in addition to an hourly rate

d. The painters hourly rate is $35.00"

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00

<h3>What is a function?</h3>

Function is a type of relation, or rule, that maps one input to specific single output.

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.

The fixed fee, or service fee, is $60.

$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.

So, the correct option is D. The painters hourly rate is $35.00

Learn more about function here:

brainly.com/question/2253924

#SPJ1

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