8+x-12=1 what does that equation equal?
2 answers:
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a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. gives the Johanna's velocity at time
. The magnitude of her velocity, or speed, is
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of
at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by , so his acceleration is given by
. We have
and at his acceleration is
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
Answer:
B. graph B
Step-by-step explanation:
The graphs of A,B,C and D are attached below.
Let x represent the credit amount and y represent the minimum amount due.
For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x
For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300
For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500
The graph that shows the minimum amount due for a credit amount of x is graph B
