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3 years ago

What is the value of the expression?

1 answer:

6 0

$\frac{5^{-6} \cdot 5^2}{5^{-8}}=\frac{5^{-6+2}}{5^{-8}}=\frac{5^{-4}}{5^{-8}}=5^{-4-(-8)}=5^{-4+8}=5^4$

The answer is C. 5⁴.

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Mumz [18]

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3 years ago

More 5th grade work c’mon

fgiga [73]

Answer: honestly for the first one, i think the answer would be 2.

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Step-by-step explanation:

6 0

3 years ago

Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

Mr.Singh had three sheets of stickers. He gave 20 stickers from each sheet of his students and has 12 total stickers left. Write

Pavlova-9 [17]

$3 sheets = 3sheets\times\frac{20stickers}{sheet}+12left$

4 0

3 years ago

Calculate the slope between (-12, 4) and (-14, 3).

Alika [10]

Answer:

1/2

Step-by-step explanation:

3-4 -1 1

----------- = ---------- = ---

-14-(-12) -2 2

8 0

3 years ago

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