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3 years ago

Factor the following using the GCF (Greatest Common Factor):

Mathematics

1 answer:

wariber [46]3 years ago

5 0

Answer:

Part (A) Factored using GCF is: 2(x² + 2) → (GCF is 2)

Part (B) Factored using GCF is: 2x³(3x-1) → (GCF is 2x³)

Step-by-step explanation:

Greatest Common Factor or GCF, is whichever value that fits into both terms. For example if you have 2, 4, and 6, 2 is the biggest value that fits into all 4 terms.

To factor using GCF, simply find the GCF of both terms, and take it out, then multiply what you have remaining by whatever the GCF is.

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In a volleyball game, a player on one team spikes the ball over the net when the ball is 10 feet above the court. The spike driv

Fynjy0 [20]

Answer:

4.75 seconds

Step-by-step explanation:

Initial height of the ball from the ground = 10 feet

Upward initial velocity given = 55 feet per second

Value of g ( acceleration due to gravity) = 32.2 feet per s²

Motion of the ball:

The ball first goes vertically upwards, gravity decelerates the body and it momentarily comes to rest at a point in its upward trajectory, which is the point of maximum height. From this point, to the ground, the ball behaves as a freely dropped body.

Till the ball reaches its maximum height:

u = + 55

v = 0 ( final velocity is zero)

a = - 32.2 (since it is deceleration)

we know that <em>v = u + at </em>

⇒ 0 = 55 - 32.2t

⇒ t = 1.7 s

Also , we have <em>s = ut + (1/2)at²</em>

Here, s is the maximum height from the point where ball is thrown

So, s = 55(1.7) - (0.5)(32.2)(1.7)(1.7)

⇒ s = 140 feet

So at a height of 140 feet + 10 feet (initial height) = 150 feet, the ball acts as a freely dropped body.

Here, u = 0

a = +32.2

s= 150

⇒ 150 = 0.5 ( 32.2) (t²)

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⇒ t = 3.05 sec

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3 years ago

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing t

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The inequality that can be used to determine x is $31.91x + 7 \leq 70$

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<h3>How to generate the inequality</h3>

<u>Given data</u>

Rental company charge per day = $31.91

Rental company charge per mile driven = $0.07

Hudson plans to drive 100 miles

Hudson has at most $70

solution

let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:

$31.91 * x= 31.91x

As Hudson plans to ride 100 miles; cost is:

100 * 0.07 = $7

therefore number of days plus 100 miles ride is:

31.91x + 7

with a limit of less than or equal to the budget we have:

$31.91x + 7 \leq 70$

The inequality above could be used to determine x

Read more on inequality here: brainly.com/question/11613554

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1 year ago

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gogolik [260]

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Step-by-step explanation:

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3 years ago

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Middletown sponsors a two day conference for selected middle school students to study government. Suppose 20 student delegates w

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Answer:

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Central Middle School = 6 students
South Middle School = 4 students

Step-by-step explanation:

First calculate the total number of students in all the schools:

= 618 + 378 + 204

= 1,200 students

Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.

North Middle school:

= 618/1,200 * 20

= 10 students

Central Middle School:

= 378 / 1,200 * 20

= 6 students

South Middle School:

= 204/1,200 * 20

= 4 students

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3 years ago