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3 years ago

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Mathematics

1 answer:

KIM [24]3 years ago

8 0

The other side is 4 feet, and the perimeter it 12 feet

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What is the factored form of 3x^2 + 23x - 36?

alex41 [277]

The factored form is (3x-4)(x+9)

6 0

3 years ago

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Natalija [7]

Answer:

$4(x-5)(3{x}^{2}+1)$

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into $12x^3,-60x^2,4x,$ and $-20$ ?

It is $4.$

2 - What is the highest degree of $x$ that divides evenly into $12x^3,-60x^2,4x,$ and $-20$ ?

It is 1, since $x$ is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

$4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})$

3) Simplify each term in parentheses.

$4(3{x}^{3}-15{x}^{2}+x-5)$

4) Factor out common terms in the first two terms, then in the last two terms.

$4(3{x}^{2}(x-5)+(x-5))$

5) Factor out the common term $x-5$ .

$4(x-5)(3{x}^{2}+1)$

5 0

2 years ago

What is the Volume?

Serhud [2]

Answer:

703.36

Step-by-step explanation:

the formula is v=b×h×pi

pi = 3.14

length: 28

base:8

So base (8) times length (28) times pi (3.14)

8×28×3.14 = 703.36

8 0

2 years ago

You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

#LearnwithBrainly

5 0

3 years ago

A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed

Darya [45]

Answer:

Speed of the parachutist is meters per second $2.083$ meter per second

Distance travelled in 2 seconds $4.167$ meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second $\frac{180*1000}{24*60*60} = 2.083$ meter per second

Distance travelled in 2 seconds $2.083 *2 = 4.167$ meter

8 0

3 years ago