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MakcuM [25]
2 years ago
12

Explain how the Quotient of Powers Property was used to simplify this expression.

Mathematics
1 answer:
erastova [34]2 years ago
8 0

Answer:

A- By simplifying 25 to 52 to make both powers base five and subtracting the exponents

Step-by-step explanation:

\dfrac{5^4}{25} = 5^2

Change 25 into 5².

\dfrac{5^4}{5^2} = 5^2

Apply the Quotient of Powers Property. (Subtract the exponents.)

5^{4 - 2} = 5^2

5^{2} = 5^2

Answer: A- By simplifying 25 to 52 to make both powers base five and subtracting the exponents

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Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?
oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

\text{Magnitude of debt in dollars}=|-\$18.50|

Since absolute value of a negative number is opposite of the number.

\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50

Therefore, option C is the correct choice.

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3 years ago
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64 gotta be the correct answer
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Oksana_A [137]

Answer:

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C. 8

Step-by-step explanation:

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3 years ago
The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

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Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

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3 years ago
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