$f(x) = \frac{x + 4}{3x^{2} + 5x - 2}$

3x² + 5x - 2 = 0
  3x² + 6x - x - 2 = 0
3x(x) + 3x(2) - 1(x) - 1(2) = 0
  3x(x + 2) - 1(x + 2) = 0
(3x - 1)(x + 2) = 0
3x - 1 = 0     or       x + 2 = 0
+ 1 + 1 - 2 - 2
3x = 1 or x = -2
3 3   1 1
x = ¹/₃ or x = -2

  f(x) = 3x² + 5x - 2
f(¹/₃) = 3(¹/₃)² + 5(¹/₃) - 2
f(¹/₃) = 3(¹/₉) + 1²/₃ - 2
f(¹/₃) = ¹/₃ - ¹/₃
f(¹/₃) = 0
(x, f(x)) = (¹/₃, 0)

f(x) = 3x² + 5x - 2
f(-2) = 3(-2)² + 5(-2) - 2
f(-2) = 3(4) - 10 - 2
f(-2) = 12 - 12
f(-2) = 0
(x, f(x)) = (-2, 0)

  Vertical Asymptotes: ¹/₃ or -2
Horizontal Asymptotes: 0
  Oblique Asymptote: No Asymptotes

3 0

3 years ago

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Samantha Ice creamy sold 67 sundaes with nuts and 15 sundaes without nuts what is the ratio of the number of sundaes without nut

zheka24 [161]

15:82 I have to type this so I can send in the answer

6 0

3 years ago

Paco uses a spinner to select a number from 1 through 5, each with equal probability. Manu uses a different spinner to select a

lions [1.4K]

There are 5 x 10 = 50 different outcomes.

Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.

Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.

The probalility, then, is 41/50 = 0.82

7 0

3 years ago

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What is the quotient of 21.06 and 9

bekas [8.4K]

Answer:

21.06÷9 = 2 and 36 left over

Step-by-step explanation:

5 0

3 years ago