Draw a parallelogram of sides 4 cm, 8 cm and diagonal 7 cm
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Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on 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.
a-The value of x, when their total share is equal to 0?
b-The total expenditure of Vicky and Micky when x = 10 is (in Rs
c-The sum of their expenditure is
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Nho
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August 21, 2021 at 3:34 pm
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Answer:
a- x = 5/3, or x = -7/2
b- 675
c – 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x – 35
a. The total share is the capital of the two partners together = 6·x² + 11·x – 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x – 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x – 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of x in the polynomial 6·x² + 11·x – 35, as follows;
When x = 10
6·x² + 11·x – 35 = 6 × 10² + 11 × 10 – 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c – The sum of their expenditure is (3·x – 5) + (2·x + 7) = 5·x + 2
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