Consider a right triangle ABC where ZC is
1 answer:
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Answer:
a.
b. His teacher will receive more pencils (See explanation).
Step-by-step explanation:
a. The total number of pencils Louis brings to school is:
Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.
Notice that the remainder obtained is: .
<em>This means that Louis’s teacher will receive 4 pencils.</em>
b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
In this question:
Over the interval [-9,-2], so
The function is:
Then
The average rate of change of the function over the interval is of 6.
Answer:
h(7) = 29
h'(7) = 44
Step-by-step explanation:
If , to find h(7) we can substitute the values of f(7) and g(7) and we get:
To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.
This would mean that , we can substitute the values for f'(7) and g'(7)