Factor by grouping.40r2 + 25ry - 8xr - 5xy
A. (8r + 5y)(x - 5r)
B. (5r + 8y)(5r - x)
C. (8r + 5y)(5r - x)
D. (8r + 5y)(5x - r)
Answer: C
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Solve.Find 6 times 2912.
A. 17,372 B. 17,572 C. 17,482 D. 17,472
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
Provide the proper response.Write a sentence or statement using words and numbers that includes a percent, a base, and an amount. Identify the parts.
What will be an ideal response?
Subtract.(9x6 - 11x3 + 17) - (-18x3 + 5x6 + 6)
A. 4x6 - 6x3 + 23 B. 4x6 + 7x3 + 11 C. 4x6 + 7x3 + 23 D. 22x9