Answer:
B. Drama is the most popular genre
Step-by-step explanation:
<h3>Day 1: </h3>
⇒ Comedy: 5
Drama: 7
Action: 3
Horror: 1
<h3>Day 2:</h3>
⇒ Comedy: 2
Drama: 11
Action: 4
Horror: 5
<h3 /><h3>With this information we can start ruling out our answer choices.</h3>
<u>A. horror is the most popular genre</u>
Lets see, both of the sum of both days for <u>Horror is 6</u>, for <u>Action is 7,</u> <u>Drama is 18,</u> and <u>Comedy is 7, </u>with this we can conclude that<u> </u><u><em>horror is actually the least popular genre</em></u>
<u>B. Drama is the most popular genre</u>
Using the information we gathered previously, we know <u>Drama is the most popular genre</u>, therefore this option is a high possibility.
<u>C. People like comedies because they like to laugh</u>
Although, I personally love comedies for this reason, <u>this chart does not prove that people like comedies for this reason.</u>
<u>D. People don't like horror movies because they don't like to be scared</u>
As for option C, the <u>chart does not prove that is the case!</u>
<h3>Therefore we can conclude that <u>option B</u> is the best choice.</h3>
<em></em>
Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
The inequality is 8-1/4x>27. The solution of the inequality is b<-76.
Given that,
The inequality is 8-1/4x>27
We must determine how to address the inequity.
Take,
8-1/4x>27
Multiply the inequality's two sides by its lowest common denominator,
4×8-4×1/4b>27×4
Reduce the expression to the lowers term,
4×8-b>4×27
Calculate the product or quotient,
32-b>4×27
Calculate the product or quotient,
32-b>108
Rearrange unknown terms to the left side of the equation,
-b>108-32
Calculate the sum or difference,
-b>76
Divide the inequality's two sides by the variable's coefficient,
b<-76
Therefore, the solution of the inequality is b<-76.
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