Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Us
2 answers:
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Answer:
t > - 5
Line is in the wrong side
Step-by-step explanation:
Given the inequality :
50 – 8t < 90
-8t < 90 - 50
-8t < 40
-8t / - 8 < (40/ - 8)
t > - 5 (sign changes)
During simplification, we should observe that the inequality sign changes due to negative sign. Hence, our final inequality equation read t > - 5 ; thus, arrow should point to the right
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Answer:
The inner function is and the outer function is
.
The derivative of the function is .
Step-by-step explanation:
A composite function can be written as , where
and
are basic functions.
For the function .
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
It tells us how to differentiate composite functions.
The function is the composition,
, of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .