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Svetradugi [14.3K]
4 years ago
10

Question 3 Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Mathematics
1 answer:
QveST [7]4 years ago
6 0

Answer:

4x

Step-by-step explanation:

Given:

√x • 4√x

Required:

Simplify in rational exponent form

SOLUTION:

Recall => \sqrt{a} = a^{\frac{1}{2}}

Thus,

\sqrt{x}*4\sqrt{x} can be expressed in exponent form as x^{\frac{1}{2}}*4x^{\frac{1}{2}

When multiplying 2 bases having exponents together, their exponents should be added together, while you multiply the bases. I.e. x^m*x^n = x^{m+n }

= x*4^{\frac{1}{2}+\frac{1}{2}

= 4x^{1} = 4x

The answer is 4x

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Neporo4naja [7]

Answer:

2 of these numbers are divisible by 4 and 5.

20 and 60 are divisible by 4 and 5.

Step-by-step explanation:

20 is divisible by 4 and 5.

Divisible just means that the 4 (also the 5) goes into 20 evenly, with no remainder.

4 goes into 20 evenly with no remainder.

5 goes into 20 evenly with no remainder.

4 does not go into 35 evenly with no remainder.

35 ÷ 4 is 8 with a remainder of 3.

35 ÷ 4 = 8.75

5 does go into 35. 35 is divisible by 5.

35 is not divisible by 4.

60 is divisible by 4

60 ÷ 4 = 15 (no remainder, no extra decimals if you do it on a calculator)

60 ÷ 5 = 12 (no remainder, no extra decimals if you do it on a calculator)

60 is divisible by 4 and also by 5.

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Answer:

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Step-by-step explanation:

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3 years ago
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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they
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Answer:

6400

Step-by-step explanation:

Given the profit function ;

P(c) = –20c2 + 320c + 5,120

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c = h

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P(8) = - 1280 + 2560 + 5120

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