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Soloha48 [4]
3 years ago
5

F(x) = 2x^2 – 3x – 9 g(x) = 4x^2 - 9 Find ( f/g)(x).

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

(f/g)x = (x - 3)/(2x - 3)

Step-by-step explanation:

Try and see if f(x) can be factored.

g(x) = (2x - 3) (2x + 3)

That means that perhaps f(x) has one of these two factors.

(2x   3)(x   3)

You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.

(2x + 3)(x - 3) should be the way f(x) factors, and it is.

f(x) / g(x) =<u> (2x + 3) (x - 3)</u>

                 (2x + 3)(2x - 3)

2x + 3 cancels. The answer is

(f/g)x = (x - 3)/(2x - 3)

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Screenshot of the question
tamaranim1 [39]

9514 1404 393

Answer:

  x = 1, x = 7

Step-by-step explanation:

You can see from the graph that the x-intercepts of f(x) are ...

  0 = f(-3)

  0 = f(3)

To find the corresponding values of x for f(x-4), we can solve ...

  0 = f(x -4)

  x -4 = -3   ⇒   x = 1

  x -4 = 3   ⇒   x = 7

The x-intercepts of the function after translation 4 units right are ...

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Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)

3 0
3 years ago
Please help me with this problem..
IceJOKER [234]

Answer:

8

Step-by-step explanation:

The 110 degree angle is oppoiste to the angle across it.

Using PLT-C the other angle on the bottom of it should be 70 degrees.

since the 70 degrees is on a straight angle the angle beside it should 110

14(8)-2 = 110

5 0
2 years ago
Peggy bought two racing cars for 5x dollars each and three model motorcycles for 3 eggs dollars each find the amount of money Pe
Sever21 [200]

Answer:

  19x

Step-by-step explanation:

The cost of the racing cars was ...

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The cost of the model motorcycles was ...

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7 0
3 years ago
Write 3 2/5 as an improper fraction.
Vlada [557]

Answer:

17/5

Step-by-step explanation:

3 x 5

15+2

17/5

4 0
3 years ago
Read 2 more answers
Over the last 6 days, you earned the following amounts raking leaves: $44, $34, $54, $55, $61, and $37. On the average, how much
astra-53 [7]

Answer: $47.50

Step-by-step explanation: Averages are calculated by adding all values up and dividing by # of values. Here the sum is 285, and 285/6=47.5

6 0
3 years ago
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