Decompose into partial fractions.
A. - -
B. - -
C. - -
D. +
Answer: A
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Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.f(x) = x
A. (a) {0}, (b) (-?, 0), (c) (0, ?), (d) ? B. (a) {-9}, (b) (-?, -9), (c) (-9, ?), (d) ? C. (a) {-9, 0}, (b) (-?, -9), (c) (-9, 0), (d) (0, ?) D. (a) {-9, 0}, (b) (-?, -9), (c) (0, ?), (d) (-9, 0)
Solve the problem.The cost of owning a home includes both fixed costs and variable utility costs. Assume that it costs $2265 per month for mortgage and insurance payments and it costs an average of $3.55 per unit for natural gas, electricity, and water usage. (i) Determine a linear function that computes the annual cost of owning this home if x utility units are used. (ii) What does the y-intercept on the graph of the function represent?
A. y = -3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities. B. y = 3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities. C. y = -3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities. D. y = 3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities.
Solve the problem.Determine the unit price (to the nearest tenth of a cent) for the different sizes and indicate how much less the larger size is per unit. A 14-ounce box of Crunchies breakfast cereal sells for $5.49, and a 20-ounce box of Crunchies breakfast cereal sells for $6.39.
A. 7.2¢ per ounce B. 8.4¢ per ounce C. 8.7¢ per ounce D. 8.2¢ per ounce
Solve the problem.Jay drove 288 kilometers at the average rate of 72 kilometers per hour. How long did the trip take?
A. hour
B. 4 hours
C. 5 hours
D. 3 hours