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2 years ago

Which of the following is the product of the rational expressions shown below x+2/x-4•3x/x+4

Mathematics

1 answer:

Doss [256]2 years ago

3 0

Answer:

Final answer is $\frac{3x^2+6x}{x^2-16}$ .

Step-by-step explanation:

Given rational expressions are $\frac{x+2}{x-4}$ and $\frac{3x}{x+4}$ .

Now we need to find about what is the product of given rational expressions.

to multiply the rational expressions, we simply multiply numerator with numerator. Then multiply denominator with denominator.

$\frac{x+2}{x-4}\cdot\frac{3x}{x+4}$

$=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}$

$=\frac{3x^2+6x}{x^2+4x-4x-16}$

$=\frac{3x^2+6x}{x^2-16}$

Hence final answer is $\frac{3x^2+6x}{x^2-16}$ .

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Answer:

$A.\\\\x+y\leq200\\\\4x+3y\leq750$

Step-by-step explanation:

x - number of adults

y - number of campers

The room for 200 people: x + y ≤ 200

Each adult costs $4, and each camper costs $3: 4x and 3y

A maximum budget of $750: 4x + 3y ≤ 750

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Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) = P(A) × P(B)

= 0.5 × .7

= 0.35

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.5 + .7 - 0.35

= 0.85

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= 0.5 + .7 - 2×0.35

= 0.5

P(A') = 1 - P(A)

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2 years ago

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

wolverine [178]

ANSWER

$9\: < x \leqslant0$

EXPLANATION

The given compound inequality is

$- 33 \: > - 3x - 6 \geqslant - 6$

We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.

We add 6 through out the inequality.

$- 33 + 6\: > - 3x - 6 + 6 \geqslant - 6 + 6$

This simplifies to:

$- 27\: > - 3x \geqslant 0$

We now divide through by -3 and reverse the inequality sign.

$\frac{- 27}{ - 3} \: < \frac{ - 3x}{ - 3} \leqslant \frac{0}{ - 3}$

We now simplify to get:

$9\: < x \leqslant 0$

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Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l

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WINSTONCH [101]

Answer:

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Step-by-step explanation:

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