commquestions1. The total expenditure of vicky and love when x= 10 is(in)(a) 375 (b) 475 (c)675 (d) 575The shares of a vicky and love individually isSo b
Answers
hi toh pata Nani and Carter and Nani and Carter
Complete Question :- Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable expenditure. The capital of the two partners together is given by polynomial 6x² +11x -35, which is the product of their individual share factors.
On the basis of the above information, answer the following questions.
i) The total expenditure of Vicky and Love when x = 10 is (in )
(a) 375 (b) 475 (c) 575 (d) 675
(ii) The shares of the Vicky and Love individually is
(a) 2x +7, 3x -5 (b) 3x -5, 2x +7 (c) Both (a) and (b) (d) None of the above
(iii) The value of x, when their shares are equal
(a) 12 (b) 10 (c) 8 (d) 6
Solution :-
→ The total expenditure of Vicky and Love when x is 10 = 6x² + 11x - 35 = 6(10)² + 11*10 - 35 = 600 + 110 - 35 = 675 (d)
now,
→ 6x² + 11x - 35
→ 6x² - 10x + 21x - 35
→ 2x(3x - 5) + 7(3x - 5)
→ (3x - 5)(2x + 7)
then, The shares of the Vicky and Love individually is (c) Both (a) and (b) .
now,
→ 3x - 5 = 2x + 7
→ 3x - 2x = 7 + 5
→ x = 12 .
therefore, value of x, when their shares are equal is (a) 12 .
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