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2 years ago

Question 8 of 25 Which of the following is the quotient of the rational expressions shown here?

Mathematics

1 answer:

Alla [95]2 years ago

4 0

Answer:

B. (5x+5)/(x²-2x)

Step-by-step explanation:

As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.

<h3>As a multiplication problem</h3>

$\dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}$

<h3>Product of rational expressions</h3>

As with numerical fractions, the product is the product of numerators, divided by the product of denominators.

$=\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}$

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A triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side that is 4 feet shorter than

Inessa05 [86]

Answer:

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

Step-by-step explanation:

Assuming that the shortest side of this triangle has a length of "x" feet, then one side is "x + 4" feet and the third is "2*x - 4" feet. Since the perimeter of the deck is 80 feet, then the sum of the length of these sides should be equal to that.

$x + x + 4 + 2*x - 4 = 80\\4*x = 80\\x = \frac{80}{4} = 20 \text{ feet}\\$

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

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3 years ago

Which expression is equivalent to (StartFraction a Superscript negative 8 Baseline b Over a Superscript negative 5 Baseline b cu

Eddi Din [679]

Answer:

its A, a^9 b^6

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. Please help!! I am giving Brainliest!

frutty [35]

Answer:

z = 5

x = 0

x = 1

Step-by-step explanation:

(z - 5)x^2 - (z - 5)x = 0 Take out z - 5 as a common factor

(z - 5)(x^2 - x) Take out x as a common factor

(z - 5)(x)(x - 1) Any one of these could equal 0. There are 3 solutons.

z - 5 = 0 Add 5 to both sides

z - 5 + 5 = 0 + 5

z = 5

===============

x = 0

===============

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

==============

4 0

3 years ago

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)

katrin2010 [14]

Answer: $324.00

Step-by-step explanation:

Convert 8% to decimals. You can do this by dividing by 100

$\frac{8}{100}=0.08$

Calculate 8% of 300 (0.08*300) and add 300 (+300)

$0.08(300)+300\\24+300\\324$

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3 years ago

1/4 x 6 in simplest form

love history [14]

Answer:

1 1/2

Step-by-step explanation:

1*6=6

6/4=1.5

1.5 1 1/2

7 0

2 years ago