Answer:
option C

Step-by-step explanation:
we have

using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]

case A) 
using a graphing tool
The range is the interval--------> [-8,∞)

case B) 
using a graphing tool
The range is the interval--------> [8,∞)

case C) 
using a graphing tool
The range is the interval--------> (-∞,8]

case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]

Answer:
744 cubic inches
Step-by-step explanation:
Volume of Styrofoam= volume of big box -volume of glass box
=(10*10*15)-(9*7*12)
=1500-756
=744 cubic inches
Answer:

Step-by-step explanation:
Given

Required
The difference quotient for h
The difference quotient is calculated as:

Calculate f(x + h)



The numerator of
is:


Collect like terms


So, we have:

Rewrite as:


The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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24% = 24/100 = 12/50 = 6/25
24% is 6/25 fraction of world's energy.