If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.10x2 + 21x + 9
A. (10x + 3)(x + 3)
B. (2x + 3)(5x + 3)
C. (2x - 3)(5x - 3)
D. Prime
Answer: B
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Provide an appropriate response.If a has exactly one real square root, what must be true of a?
A. a is nonnegative B. a is negative C. a is positive D. a is equal to zero
Find the sum of the terms of the arithmetic sequence.-10, -7, -4, -1, . . ., 29 n = 14
A. 133 B. - 133 C. 266 D. 273
Simplify the expression using the product and quotient properties of square roots. Assume that any variables represent positive real numbers.
A. x2
B. x
C. x
D. x2
Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function where x represents the number of years after 1995. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function
where again x represents the number of years after 1995. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -
g)(55). Explain, in your own words, what this number represents. A. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 higher than health-care costs that are paid out of pocket in 2050. B. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 less than health-care costs that are paid out of pocket in 2050. C. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 higher than health-care costs that are paid out of pocket in 2050. D. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 less than health-care costs that are paid out of pocket in 2050.