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30 Sep 2019

Which statement is true about the factorization of 30x2+40xy+51y2?

(a) The factorization of 30x2+40xy+51y2 is 10(3x2+4xy+5y2 )

(b) The polynomial can be rewritten as the product of a trinomial and xy

(c) The greatest common factor of the polynomial is x2y2

(d) The greatest common factor of the terms is 1

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Jean Keeling
Jean KeelingLv2
7 Mar 2019
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Joey Tang
Joey Tang
Bachelor’s Degree in Chemistry from McMaster University
13 Apr 2020

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Related questions

which statement is true about the discontinuities of the function ?

A) there are asymptotes at x=3/2 and x=-1/3
B) there are holes at x= 3/2 and x=-1/3
C) there are asymptotes at x=-3/2 and x= 1/3
D) there are holes at x=-3/2 and x= 1/3

5. (18 pts) Circle True if the statement is ALWAYS true; circle False otherwise. No explanations are required. Let f be a one-to-one function and f its inverse. (a) If the point (2, 5) lies on the graph off, then the point (5,2) lies on the graph of f. True False f (2) = 5 f-1 (5) = 2 (b) sin-1 (T) = 0 True False Since >1, ris not in the domain of sin-?; | or sin-1 (7) #0, since sin (0) = 0 # Iff and g are two functions defined on (-1, 1), and if (c) limg (x) = 0, then it must be true that lim[ f(x) g (x)] = 0. True False Let f (x) = 1 / x, if x #0, and f (0) = 4 and g(x) = x. Then lim g (x) = lim (x) = 0, but Lim ( f (x) g(x)] = lim [() x] = 18 0. Iffis continuous on (-1, 1), and if f (0) = 10 and lim g (x) = 2, (a) True False then lin (= 5. Because lim : (*) - Limx-of (*) .f(0) = 20 = 5 If f is continuous on [1, 3], and if f(1) = 0 and f(3) = 4, then the equation f(x) = (e) has a solution in (1, 3). True False Since f continuous on [1, 3), f(1) = 0 < < 4 = f (3), by the Intermidiate Value Theorem there exists a cin (1, 3) such that f (c) = . (f) Let f be a positive function with vertical asymptote x = 5. Then lim f (x) = +0. True False Let f (x) = 1, if x < 5, and f (x) ==, ifx>5. Then lim f (x) = +00, and therefore, X = 5 is a vertical asymptote. 5 - X So, f is a positive function with vertical asymptote x = 5 but lim f (x) + +co, since lim f (x) = + 0 + lim f (x) = 1, which means that lim f (x) does not exist.

  1. Mark has to figure out values for his business since he needs profits.



a. The regular selling price of a product is $109. The markup rate on selling price is 18% and the operating expenses are 4% on cost. If, during a sale, the product was discounted by 10%, calculate the profit or loss realized.

b. A company manufactures TVs and sells them for $1,122. The variable cost to manufacture each TV is $660. The fixed costs are $360,000 per month. The production capacity is 20,000 TVs per month. a. What is the break-even number of TVs per month? b. Calculate the break-even number of TVs as a percent to capacity. c. How many TVs must be sold, for the company to have a net income of $50,000?


c. If US$1 = C$1.2145, and if the bank in Canada charges 1.5% commission to buy or sell currencies, how many CAD will you receive if you sell US$4,000?



d. The cost of a pump is $1,200. The overhead expenses are 9% of the cost the required profit is 12% of the selling price. Calculate the selling price of the pump.
e. If you sell products for $40 per unit, which have variable costs of $25 per unit, what fixed costs can ensure that you will break even by selling 1,000 units?

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