Solve the inequality. Express your answer using interval notation. Graph the solution set.|x - 19| > 3
A. (22, ?)
B. (-?, 16) ? (22, ?)
C. (16, 22)
D. (-22, -16)
Answer: B
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Decide whether the statement makes sense. Explain your reasoning.The container was big enough to hold a barrel of water, but it wasn't big enough to hold a barrel of petroleum.
What will be an ideal response?
A certain bacteria population increases by 63% each day.
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A: Explain why the bacteria population is an exponential function of time.
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B: What is the hourly growth factor for the bacteria population? Report your answer correct to 3 decimal places.
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C: If there are initially bacteria present, write a formula that gives the population N after t hours.
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D: How long does it take for the bacteria population to double? Round your answer to two decimal places if necessary.
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What will be an ideal response?
For the given function:(a) Find the intervals on which the function is increasing and decreasing. (b) Then identify the function's local extreme values, if any, saying where they are taken on.(c) Which, if any, of the extreme values are absolute?f(x) = x
What will be an ideal response?
Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve at
is f'(a). Use f'(x) to find the slope of the tangent to
at the given value of x.f'(x) = 6x3 - 2x2 + 5x - 19 at x = -2
A. -69 B. 85 C. -85 D. -75