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viktelen [127]
3 years ago
8

Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi

ture. 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


​
Mathematics
1 answer:
elixir [45]3 years ago
7 0

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 <em>x </em>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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dimaraw [331]

Answer:

135x^3 + 3x^2 - 46x + 8.

Step-by-step explanation:

(5x-1)(3x+2)(9x-4)

= (5x - 1)(27x^2 + 18x - 12x - 8)

=  (5x - 1)(27x^2 + 6x - 8)

= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)

= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8

= 135x^3 + 3x^2 - 46x + 8.

8 0
2 years ago
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k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.
svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If \frac12^{1-k}=\frac18

Then

\frac1{2^{1-k}}=\frac18=\frac1{2^3}

So

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From this follows k = -2

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3 years ago
Plz help I need your help plz help me plz I swear I need your help plz help me plz I’m begging you on my 2 knees plz help me
REY [17]

Answer:

The correct answer is B

Step-by-step explanation:

First, the question said that the shoes were $15 less than double the price of his pants. In algebra 2p would mean 2 multiplied by p so we know that C and D are wrong. Now $15 less than 2p would mean you have to subtract by 15, so now we have 2p-15. Since we haven't added in the amount of money the pair of pants cost, we have to use addition to add it in, and that adds to the equation making the equation 2p - 15 + p. So, the answer is B.

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Marizza181 [45]

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Step-by-step explanation:

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Answer:

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A. 58.99 × 12 = 707.88

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3 years ago
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