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3 years ago

Match each polynomial in standard form to its equivalent factored form.

Mathematics

1 answer:

GREYUIT [131]3 years ago

3 0

Answer:

8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
x^3+8 ⇒ (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

= (2x)³ + 1³

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

= (2x)(x³ +2³)

3. a=x, b=2

= x³ +2³

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Answer:

Step-by-step explanation:

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3 years ago

Question 8

yanalaym [24]

Answer: use google dot com

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3 years ago

A sporting goods store offers 40% discount on all golf clubs. Rocco spent 20% of the money in his savings account on a golf putt

MatroZZZ [7]

Answer:

Rocco doesn't have enough money to buy the golf irons

Step-by-step explanation:

step 1

Find the rest of the money left in the savings account

using proportion

$\frac{\$48}{20\%}=\frac{x}{80\%}\\ \\x=48*80/20\\ \\x=\$192$

step 2

we know that

The set of golf irons has an original price of $359

Applying 40% discount

100%-40%=60%=60/100=0.60

after the discount the price will be

$0.60(\$359)=\$215.4$

$\$215.4> \$192$

therefore

Rocco doesn't have enough money to buy the golf irons

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3 years ago

What is 0.6 as a fraction in simplest form

Illusion [34]

we know that

step 1

multiply $0.6$ by $\frac{10}{10}$

$0.6*\frac{10}{10} =\frac{6}{10}$

step 2

Divide numerator and denominator by $2$

$\frac{\frac{6}{2}}{\frac{10}{2}} =\frac{3}{5}$

therefore

the answer is

$\frac{3}{5}$

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3 years ago

Read 2 more answers

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = $\frac{\pi}{2}$ square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

$A = \frac{1}{2} r^2 \theta$

Where, A = area

r = radius = 3

$\theta = \frac{1}{9}\pi$

Substituting values in the formula, we have:

$A = \frac{1}{2}*3^2* \frac{1}{9}\pi$

$A = \frac{1}{2}*9* \frac{1}{9}\pi$

$A = 4.5 * \frac{1}{9}\pi$

$A = \frac{\pi}{2}$

The area of the sector = $\frac{\pi}{2}$ square units

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3 years ago