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3 years ago

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

1 answer:

3 0

We have that

f(x) = 3x + 2
g(x) = x - 3

[g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
–2x – 5; all real numbers

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A new car has a sticker price of $22,150, while the invoice price paid on it was $18,780. what is the percent amount of markup?

Dmitrij [34]

The formula to find markup amount

$\frac{Change in price }{original price}$

A new car has a sticker price of $22,150, while the invoice price paid on it was $18,780.

Original price of new car = $18,780

Sticker price of new car = 22,150

Change in price = 22,150 - 18,780 = 3370

Markup = $\frac{Change in price }{original price}$

= $\frac{3370 }{18780}$

= 0.179446

Markup percentage = 0.179446 * 100 = 17.94%

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3 years ago

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21....................

Mumz [18]

Answer:

The answer is (b) ⇒ $\frac{d^{5} }{2\sqrt{c} }$

Step-by-step explanation:

∵ $\frac{\sqrt{c^{2}d^{6}}}{\sqrt{4c^{3}d^{-4}}}$

∵ √x² = x ⇒ that means to cancel the square root divide

the power by 2

∴ $\sqrt{c^{2}d^{6}}=cd^{3}$

∵ √4 = 2 ⇒ √2×2 = √2² = 2

∵ √c³ = $c^{\frac{3}{2}}$

∴ $\sqrt{4c^{3}d^{-4}}=2c^{\frac{3}{2}}d^{-2}$

∴ $\frac{cd^{3}}{2c^{\frac{3}{2}}d^{-2}}$

∵ In the same base with multiplication we add the power,

in same base with division we subtract the power

∴ $\frac{1}{2}c^{1-\frac{3}{2}}d^{3-(-2)}=\frac{1}{2}c^{\frac{-1}{2}}d^{5}=$

$\frac{d^{5}}{2c^{\frac{1}{2}}}=\frac{d^{5}}{2\sqrt{c}}$ ⇒ $c^{\frac{1}{2}}=\sqrt{c}$

∴ The answer is (b) ⇒ $\frac{d^{5}}{2\sqrt{c}}$

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4 years ago

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Write a real-world problem that can be represented by the given equation. Explain what your variable represents. 2X + 6 = 3X + 4

Nina [5.8K]

Answer:

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1. Choose one of these equations: (20 points) 10x + 12y = 10,500 4x + 6y = 2,340 10x + 6y = 150 a. Write your own word problem that could match one of the equations above. Abby makes $150 a day at her new job as an assistant for a fashion designer in New York. She earns $10 an hour plus $6 for every dress she trailers. How many hours does she have to work and how many dresses does she have to tailor to earn $150? b. Rewrite the equation in slope-intercept form. y= -(5)/(3)x + 25 c. Graph the Equation

Step-by-step explanation:

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3 years ago

A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet?

maks197457 [2]

500 / 2 = 250 miles per hour ( rate of speed)

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4 years ago

The width of a rectangle is 6n - 2.5 feet and the length is 2.5 + 8 feet. Find the perimeter of the rectangle.

ludmilkaskok [199]

I was thinking the measurement for ;length should be 2.5n + 8 feet since width is 6n -2.5 feet , but you gave 2.5+ 8 feet, so i will solve it in both ways

Answer: Perimeter = 5 + 12n + 11 feet ; Perimeter = 17n+ 11 feet

Step-by-step explanation:

Using Length = 2.5+ 8 feet,

Perimeter of a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5 + 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5 + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5 + 16feet + 12n - 5feet

Perimeter = 5 + 12n + 11 feet

Using Length = 2.5n+ 8 feet,

Perimeter of a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5n+ 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5n + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5n + 16feet + 12n - 5feet

Perimeter = 5n + 12n + 11 feet

Perimeter = 17n+ 11 feet

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3 years ago

﻿Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.