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FromTheMoon [43]
3 years ago
8

Three times a number t minus twelve equals forty

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0
3 · t - 12 = 40

3t - 12 = 40    |add 12 to both sides

3t = 52    |divide both sides by 3

t = 52/3

t = 17 1/3
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Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
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D

Step-by-step explanation:

<em>The statements are shown below:</em>

<em>A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2. </em>

<em>B) She used the wrong number as a repeated factor and should have evaluated -(8x8). </em>

<em>C) She misinterpreted the exponential form and should have multiplied -2 and 8. </em>

<em>D) She made a sign error when multiplying and should have had 256 as a final answer.</em>

<em />

<u>Solution:</u>

<u />

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(-2)^{8}

Haley's steps are shown below:

(-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256

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(a)^b  is actually "a" multiplied "b" times.

So, Haley wrote "-2" eight times multiplied together. That is okay.

Now,

We are dealing with negative numbers.

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  • When negative numbers are multiplied "even" number of times, the answer is positive.

Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.

Haley's error is:

Answer choice D

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3 years ago
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