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mote1985 [20]
3 years ago
14

(9x²+24x-8)-(5x²+3x+10)

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

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Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
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Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

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3 years ago
What Is The Answer<br> 2/3 - 4/12 =
erica [24]
2/3 = 8/12. So the answer is 4/12
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3 years ago
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William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third
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3 years ago
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line
anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

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Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

V_R= 280 m^3/h * 3h=840\ m^3

To get the best estimate of the total volume, let us find the average of the two values, hence:

Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3

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3 years ago
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