Add.
+
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B.
C.
D.
Answer: B
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Write an equation for the linear function and use it to answer the given question. The Math Club plans to pay a visitor to speak at a fundraiser. Tickets will be sold for
each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold. How many people must attend the event for the club to break even.
A. p = 74 + 5n; 15 people B. p = 74 - 5n; 30 people C. p = -74 + 5n; 15 people D. p = -74 + 5n; 30 people
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
Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = 5x20 - 7x14 - 6x11 + 6x2 - 5x
A. 3 positive; 2 negative B. 1 or 3 positive; 0 or 2 negative C. 0 or 2 positive; 0 or 2 negative D. 1 or 3 positive; 1 or 3 negative
Factor completely.2x3 + 2x2 - 40x
A. (x - 4)(2x2 + 10) B. (2x2 + 8x)(x - 5) C. 2x(x - 4)(x + 5) D. 2x(x + 4)(x - 5)