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3 years ago

Which of the following is the quotient of the rational expressions shown below?

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

The correct answer is option B.

(4x + 8)/(5x - 5)

Step-by-step explanation:

It is given an expression in variable x

2x/(x - 1) ÷ 5x/(2x + 4)

<u>To find the correct option</u>

2x/(x - 1) ÷ 5x(2x + 4) = 2x/(x - 1) * (2x + 4)/5x

= 2x/(x - 1) * 2(x +2)/5x

= [2x * 2 * (x + 2)]/[(x - 1)5x]

= 4(x +2)/5(x - 1)

= 4x + 8)/(5x - 5)

The correct answer is option B.

(4x + 8)/(5x - 5)

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The height of a parallelogram is 4 times the base. The base measures 3 1/2 ft find the area off the parallelogram

PilotLPTM [1.2K]

Answer:

Area = 49 ft²

Step-by-step explanation:

The formula for area of a parallelogram is A = bh, where b is the base, and h is the height. Here, the base is given and the height is 4 times the length of the base

Here b = 3 1/2, and h = 4(3 1/2) = 14

3 1/2 becomes 7/2 as an improper fraction, 4(7/2) = 28/2 = 14

So the area is

A = 14(3 1/2)

A = 14(7/2)

A = 98/2

A = 49 ft²

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3 years ago

Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the

Artist 52 [7]

Answer:

(a)

$f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

$f(a+h)-f(a)=2ah+h^{2} -3h$

(c)

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11$

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

$f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4$

(b)

Evaluate (a) in the function:

$f(a)=a^{2} -3a-4$

Using the previous answers lets calculate f(a+h)-f(a)

$f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h$

$\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11$

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3 years ago

What does an equal sign mean mathematically?

DIA [1.3K]

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

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3 years ago

You owe 12% interest each year on a $500 loan. If you make no payments and take no additional loans, what will the loan balance

Yakvenalex [24]

20000000000099999000

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What is the solution to the system of equations 3x + 2y = -10 and y = -x - 4

Mrrafil [7]

Answer:

(-2,-2)

Step-by-step explanation:

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