Answer:
Option B
Step-by-step explanation:
<u>Step 1: Determine the range and domain</u>
Range is asking for what y values are being used. We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.
Domain is asking for what x values are being used. We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides. This gives us the answer that the domain is all real numbers.
Looking at the given options, options C and D are automatically removed because the range is incorrect. Next looking at the domain we see that option A is incorrect which leaves us with option B.
Answer: Option B
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:

The average rate of change of h(x) in the given interval is 7.
Answer:
B, C, F
Step-by-step explanation:
Given:

Subtract the second equation from the first equation:

Option B "The x coordinate of the solution is 9" is ture
Substitute it into the first equation:

Option F "The y coordinate of the solution is -8" is true.
Point (9,-8) is in the IV quadrant, so option C is true.
The rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
<h3>How to determine the rate at 9a.m?</h3>
The function is given as:

9a.m is 9 hours since midnight.
This means that
x = 9
So, we have:

Evaluate

Evaluate the expression
t(h) = 19.03
Hence, the rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
Read more about rates at:
brainly.com/question/25545513
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