Answer:
443520
Step-by-step explanation:
The value of x is the number inside the parenthesis, so h(-4) gives x a value of -4.
The equation says when X is ≤ -4 use the first equation
So h(-4) = -1/2(x) -15
= -1/2(-4) -15
= 2 -15
= -13
When x = -2 (h(-2) ) use the 2nd equation:
h(-2) = 20-3x^2
=20-3(-2)^2
= 20-3(4)
=20-12
=8
Now you have -13 + 3(8)
= -13 + 24
=11
The answer should be 11
Answer:
A
5(15x-4)^3
Explanation:
I assume you mean g(f(h(x))) so in that case here is how you do it:
So the first one is g(x) which is:
5x^3
Now g(f(x)) you just plug in f(x) for the x in the g equation. It would look like this:
5(5x-4)^3
Now the h(x) you would do the same, plug it in for all the values of x in g(x). So it would look like this:
5(5(3x)-4)^3
Since you simplify, you get 5(15x-4)^3
This final equation is g(f(h(x))) which is what you were looking for, which is A
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
<h3>What are qualitative and quantitative variables?</h3>
- Qualitative variables: Assumes labels or ranks.
- Quantitative variables: Assume numerical values.
In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at brainly.com/question/20598475
<em><u>solution</u></em>
<em><u>original </u></em><em><u>price </u></em><em><u>=</u></em><em><u> </u></em><em><u>final </u></em><em><u>price</u></em><em><u>+</u></em><em><u> </u></em><em><u>decrease</u></em><em><u> </u></em><em><u>percent</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>final </u></em><em><u>price</u></em>
original price = $90 +80% ×$90
original price = $90+80/100 ×$90
original price= $90+$72
original price= $162
