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Nesterboy [21]
3 years ago
8

Solve the system of equations y=3x. y=x^2-4

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

  (x, y) = (-1, -3)  or  (4, 12)

Step-by-step explanation:

A graphing calculator can show the solutions to this system.

__

You can equate expressions for y and solve for x.

  3x = x^2 -4

  x^2 -3x = 4 . . . . add 4-3x

  x^2 -3x +2.25 = 6.25 . . . . complete the square by adding (-3/2)^2 where -3 is the coefficient of x.

  (x -1.5)^2 = 2.5^2 . . . . . . rewrite as squares

  x -1.5 = ±2.5 . . . . . . . . . . take the square root

  x = 1.5 ± 2.5 = -1, +4

  y = 3x = -3, +12, respectively

Solutions are ...

  (x, y) = (-1, -3) . . . . and . . . . (4, 12)

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Answer:

The area after 9 years will be 1,234 km^2

Step-by-step explanation:

In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.

To answer this question, we shall be using an exponential approximation.

Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.

This can be written as;

A = I(1-r)^t

where A is the new area we are looking for

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r is the rate of decrease which is 3.5% = 3.5/100 = 0.035

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We plug these values and have the following;

A = 1700(1-0.035)^9

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The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C
masya89 [10]

The distance between city C and city D is 450 miles.

<u>Solution:</u>

Given, The distance between City A and City B is 250 miles.  

A length of 2.3 feet represents this distance on a certain wall map.  

City C and City D are 4.14 feet apart on this map.  

We have to find what is the actual distance between City C and City D?

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3 years ago
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