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gizmo_the_mogwai [7]
4 years ago
9

Question 6 of 20

Mathematics
1 answer:
LuckyWell [14K]4 years ago
7 0

Answer:

The answer is B

Step-by-step explanation:

It's just a matter of following the sequence

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Fran is limited to watching television less than 12.6 hours per week. She has already watched 4.2 hours, and each show is 0.7 of
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Answer: the number of hpurs that Fran can watch this week is lesser than 12

Step-by-step explanation:

Let x represent the number of hours of television that Fran can watch in a week.

Fran is limited to watching television less than 12.6 hours per week. She has already watched 4.2 hours, and each show is 0.7 of an hour long. The inequality representing the situation is expressed as

0.7x + 4.2 < 12.6

0.7x + 4.2 < 12.6 - 4.2

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The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown. f(x) = 4(x2 + 12x) + 10 (twelve-halves) squared = 36
brilliants [131]

Answer:

f(x)=4(x+6)^2-134

Step-by-step explanation:

We are required to write the functionf(x) = 4x^2 + 48x + 10 in vertex form.

First, bring the constant to the left-hand side.

f(x) -10= 4x^2 + 48x

Factorize the right hand side.

f(x) -10= 4(x^2 + 12x)

Take note of the factored term(4) and write it in the form below.

f(x) -10+4\Box= 4(x^2 + 12x+\Box)

\Box = (\frac{\text{Coefficient of x}}{2} )^2\\\\\text{Coefficient of x}=12\\\\\Box = (\frac{12}{2} )^2 =6^2=36

Substitute 36 for the boxes.

f(x) -10+4\boxed{36}= 4(x^2 + 12x+\boxed{36})

f(x) -10+144= 4(x^2 + 12x+6^2)

f(x) +134= 4(x+6)^2\\f(x)=4(x+6)^2-134

The function written in vertex form is f(x)=4(x+6)^2-134

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