Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
The answer is B I believe
(<em>A</em> ∩ <em>B</em>)' is the complement of <em>A</em> ∩ <em>B</em>, or the set of all elements in the universal set <em>U</em> that do not belong to <em>A</em> ∩ <em>B</em>.
<em>A</em> ∩ <em>B</em> is the intersection of <em>A</em> and <em>B</em>, or the set of all elements common to both <em>A</em> and <em>B</em>.
We have
<em>A</em> = {q, s, u, w, y}
<em>B</em> = {q, s, y, z}
so that
<em>A</em> ∩ <em>B</em> = {q, s, y}
Then
(<em>A</em> ∩ <em>B</em>)' = {r, t, u, v, w, x, z}
which makes (c) the answer.
Let's solve your inequality step-by-step.
<span><span><span>
a − 8 </span>+ 15 </span>> <span>23
</span></span>Step 1: Simplify both sides of the inequality.
<span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>> 23
</span>
Step 2: Subtract 15 from both sides.
<span><span><span><span><span><span>
−1/</span>8</span>a </span>+ 15 </span>− 15 </span>> <span>23 − 15
</span></span><span><span><span><span>
−1/</span>8</span>a </span>> 8
</span>
Step 3: Multiply both sides by 8/(-1).
<span><span><span>
(<span>8/<span>−1</span></span>) </span>* <span>(<span><span><span>−1/</span>8</span>a</span>) </span></span>> <span><span>(<span>8/<span>−1</span></span>) </span>* <span>(8)
</span></span></span><span>
a < <span>−<span>64
Therefore, the answer is a < -64! I hope this helped! :)</span></span></span>
Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because 
2. plug into the formula 
3. square the 3
4. multiply 9 by 3.14 (pi)
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula 
to find the area of the rectangle
1. plug in the numbers given
· 
2. solve
Then add the area of the semicircles to the area of the rectangle
to get the area of the entire figure:
