Answer:
Step-by-step explanation:
The given functions are and
.
We now composed the two functions to find:
This function is defined if the denominator is not zero.
We write this in interval notation as:
We need to be cautious here as x=0 is not in the domain of g(x).
Therefore the domain of is
The average rate of change is defined as:
For AVR to be negative, it must comply with:
Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.
Among the options given, this interval is:
1 to 2.5
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
Answer:
Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.
Step-by-step explanation:
Given:
First 4 test scores = 87%, 92%, 76%,89%
Average targeted = 80%
We need to find the minimum score she needs to make on fifth test to achieve average of at least 80%.
Solution:
Let the minimum score she needs to make in fifth test be 'x'.
Total number of test = 5
Now we know that;
Average is equal to sum of all the scores in the test divided by number of test.
framing in equation form we get;
Multiplying both side by 5 we get;
Subtracting both side by 344 we get;
Hence Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.