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atroni [7]
3 years ago
6

Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0

Answer:

the answer is D

Step-by-step explanation:

PSYCHO15rus [73]3 years ago
6 0

Answer:

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 />

The problem to simplify is:

(-2)^{8}

Haley's steps are shown below:

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

Generally,

(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.

  • When negative numbers are multiplied "odd" number of times, the answer is negative.
  • 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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answer:

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Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

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f(t) = -9.9788169(t-0.76)^2 +57

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