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Given that the table shows the total miles Uyen has run this week.
The image of the table is attached below.
The total distance from the table is
The total distance this week is 1.5 times the distance that she ran last week.
We need to determine the number of miles that Uyen run last week.
<u>The number of miles Uyen run last week:</u>
Let x denote the number of miles that Uyen run last week.
Let us write the equation from the given data.
Thus, we have;
Dividing both sides by 1.5, we have;
Hence, the value of x is 14.8 miles.
Thus, Uyen ran 14.8 miles last week.
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
