Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)
B)
Vertex:(0,-9)
x-intercepts:none
y-<span>intercepts:</span> (0,-9)
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:

Haley's steps are shown below:

Generally,
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