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jolli1 [7]
2 years ago
10

Compute each quotient using the identities you discovered in this lesson.x^4-16/x-2

Mathematics
1 answer:
luda_lava [24]2 years ago
8 0

Answer:

The quotient will be (x^2+4)(x+2)

Step-by-step explanation:

We have given the equation \frac{x^4-16}{x-2}

We have to find the quotient

From algebraic equation we know that a^2-b^2=(a+b)(a-b)

So \frac{x^4-16}{x-2}=\frac{(x^2)^2-4^2}{x-2}=\frac{(x^2+4)(x^2-4)}{x-2}=\frac{(x^2+4)(x+2)(x-2)}{x-2}=(x^2+4)(x+2)

So the quotient will be (x^2+4)(x+2)

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Beth saved $30 last summer while Carmen saved $80.what is the ratio of beths savings to Carmens
Licemer1 [7]
Answer: 3:8

Explanation: To get this you have to divide each number by the two numbers' GCF (Greatest Common Factor) and in this case the GCF is 10, so you divide both numbers by 10 and get 3 and 8.
5 0
2 years ago
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What is the probability that if you multiply two randomly-selected two-digit whole numbers, the result is greater than 100 and l
ohaa [14]

Answer:

4/675

Step-by-step explanation:

There can be 90  two-digit numbers ranging from 10 to 99. There will be

90 x 90= 8100 possibilities of randomly selecting and combining 2 entire two-digit numbers, if we find ax b to be distinct from bx a. When 10 is first chosen, there may be 9 two-digit numbers that could be combined within the required range for a product When 11 is chosen first, then the second two-digit number has 9 possibilities. 12 has seven options; 13 has six options; 14 has five options; 15 has four options; 16 has three options; 17 has two options; 18 has 2 options; and 19 has one option. It provides us 48 total choices so the likelihood that the combination of two randomly chosen two-digit whole numbers is one of theses  these possibilities is thus 48/8100 = 4/675.

8 0
3 years ago
An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You Buy an album for $1
Lisa [10]

Answer:

need to spend $18 more in addition to $12

Step-by-step explanation:

Given: According to online music store, if you spend $30 or more, you receive 3 songs for free

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Let x denotes amount to be spend in addition to $12 to receive three free songs

According to question,

x+12\geq 30\\x\geq 30-12\\x\geq 18

3 0
3 years ago
Diego was asked to plot these points: (−50,0) ( − 50 , 0 ) , (150,100) ( 150 , 100 ) , (200,−100) ( 200 , − 100 ) , (350,50) ( 3
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Answer:

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(150, 100)

(200, -100)

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3 years ago
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The answer should be 110 degrees.

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Best of luck.

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3 years ago
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