<u>End behavior: </u>
The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.
<u>Zeroes:</u>
f(x) = x³ + 2x² - 8x
0 = x³ + 2x² - 8x
0 = x(x² + 2x - 8)
0 = x(x + 4)(x - 2)
0 = x 0 = x + 4 0 = x - 2
x = 0 x = -4 x = 2
<u>Intervals:</u>
Put the zeroes in order: -4, 0, 2
since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.
<u>Graph:</u>
see attachment
Answer: Yes by SAS
Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will
Hope this helps :D
Answer:
Step-by-step explanation:
Given that in order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estimating the average time it takes to install tile flooring.
Std deviation =4.5 errors
95% confidence interval = Mean±1.96*std dev
Hence we have

Sample size should be 20.
<h2><u>Simplification</u></h2>
<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>
To expand an expression, use FOIL method.
<h3><u>F - First</u></h3>
- Multiply the first term in each expression inside the parentheses.
<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.
<u>(-7y)(y) = -7y²</u>
<h3><u>O - Outside </u></h3>
- Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)
<u>-7y</u> is the first term in the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-7y)(-4) = 28y</u>
<h3><u>I - Inside</u></h3>
- The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)
<u>-8</u> is the last term in the <u>first expression</u>
<u>y</u> is the first term in the <u>second expression</u>
<u>(-8)(y) = -8y</u>
<h3><u>L - Last</u></h3>
- Last step is to multiply the last term in each expression.
<u>-8</u> is the last term of the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-8)(-4) = 32</u>
Combine all simplified terms.
- -7y² + 28y - 8y + 32
- -7y + 20y + 32
<u>Answer:</u>
Wxndy~~
You have to take 19 and multiply it by 5 for each number of box. Therefore 19x5 equals 95. So 95 is your answer