Express the graph shown using interval notation. Also express it as an inequality involving x.
A. [-1, ?)
x ? -1
B. (-1, ?)
x > -1
C. (-?, -1)
x < -1
D. (-?, -1]
x ? -1
Answer: B
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Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = (y - 3)(y + 9)
A. y = 3, y = -9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3 B. y = -3, y = 9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3 C. y = -3, y = 9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3 D. y = 3, y = -9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3
Solve.The Henderson family heats their home with firewood. They used $100worth of wood in 25 days. Mr. Henderson estimates that he needs to burn wood at that rate for about 61 days during the winter. If that is so, how much will the 61-day supply of wood cost?
A. $488 B. $244 C. $6100 D. $122
Simplify the expression.
A. undefined B. 79 C. 1 D. 0
A type of lightbulb is labeled as having an average lifetime of 4000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean ? = 4000. What is the median lifetime of these lightbulbs?
Give your answer rounded to two decimal places.