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Masja [62]
3 years ago
14

Solve 15x+3y=9,10x+7y=-4

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

x = 1, y = -2

Step-by-step explanation:

15x + 3y = 9 (1)

10x + 7y = -4 (2)

3 × (2) - 2 × (1)

3 × (2)

30x + 21y = -12 (3)

2 × (1)

30x + 6y = 18 (4)

(3) - (4)

15y = -30

y = -30 / 15

y = -2

sub y = -2 into (1)

15x + 3y = 9

15x + (3 × -2) = 9

15x - 6 = 9

15x = 9 + 6

15x = 15

x = 15 / 15

x = 1

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vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when t > 0

Profit after t months:

P(t) = t^4 - 10t^3 + 28t^2 - 24t

0 months:

This is P(0). So

P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0

1 month:

This is P(1). So

P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5

2 months:

This is P(2). So

P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0

3 months:

This is P(3). So

P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9

4 months:

This is P(4). So

P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32

5 months:

This is P(5). So

P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45

6 months:

This is P(6). So

P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0

7 months:

This is `P(7). So

P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check brainly.com/question/24231879

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