Add.
A. 922
B. 15,411
C. 821
D. 901
Answer: B
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Add or subtract horizontally.(2n5 + 4n3 + 3) + (5n5 + 2n3 + 6)
A. 7 + 6n5 + 9n3 B. 8n5 + 4n3 + 10 C. 7n5 + 6n3 + 9 D. 22n8
Provide an appropriate response.If f(x) = 4 - 3x, then (f ? f)(x) =
A. 16 - 24x + 9x2. B. 6x - 8. C. 16 - 9x2. D. 9x - 8. E. 8 - 6x.
Solve the problem.Given an algae population in a certain pond, x (in millions), f(x) models the frog population in the pond (in thousands). (i) Use the graph of f to estimate the number of algae in the pond when there are 29 thousand frogs in the pond; (ii) Estimate f(x) at 2, 3, 5, 6 and 7; (iii) Use regression and the points you estimated to find a quartic polynomial function f that models the data points; (iv) Use f(x) to solve part (i) either graphically or numerically.
A. (i) about 1 million
(ii) (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 + 20.02x2 + 55.93x - 46.00;
(iv) x ? 1.1 million algae when f(x) = 29 thousand frogs
B. (i) about 7 million
(ii) (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 - 20.02x2 + 51.93x - 44.00;
(iv) x ? 7.3 million algae when f(x) = 29 thousand frogs
C. (i) about 5 million
(ii) (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.77x3 - 20.02x2 + 41.93x - 44.00;
(iv) x ? 5.1 million algae when f(x) = 29 thousand frogs
D. (i) about 1 million
(ii)
(iii) f(x) ? 0.16x4 + 3.77x3 + 20.02x2 + 51.93x - 44.00;
(iv) x ? 1.5 million algae when f(x) = 29 thousand frogs
Determine whether the given point is in the solution set to the given system.3x - 2y + 3z = 17 x + 4y - 2z = -82x - y + z = 8
A. Yes B. No