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Kazeer [188]
4 years ago
8

For the rational function f(x)=x-2/3x^2+x-2, fill in the points on the graph at the function value f(x)=2.

Mathematics
1 answer:
Arisa [49]4 years ago
6 0

Answer:

  (-2/3, 2), (1/2, 2)

Step-by-step explanation:

A graphing calculator can show you those points: (-2/3, 2), (1/2, 2).

__

Put the given value in the equation and solve for x.

  2 = f(x)

  2 = (x -2)/(3x^2 +x -2)

  2(3x^2 +x -2) -(x -2) = 0 . . . . . multiply by the denominator; put in standard form

  6x^2 +x -2 = 0 . . . . . collect terms

  (3x +2)(2x -1) = 0 . . .  factor

Solutions are values of x that make the factors zero:

  x = -2/3, x = 1/2

Then the points on the graph are (-2/3, 2) and (1/2, 2).

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The change from one number to the next in a geometric sequence is called
Dmitrij [34]

Answer:

A) or B)

Step-by-step explanation:

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7 0
3 years ago
The height to the base of an isosceles triangle is 12.4m, and its base is 40.6m. What are the measurement of the angles of the t
Vsevolod [243]

Answer:

  • angles: 31.42°, 31.42°, 117.16°
  • legs: 23.79 m

Step-by-step explanation:

The base angles can be found from the definition of the tangent function:

  tan(base angle) = height/(half-base length)

  base angle = arctan(12.4/20.3) ≈ 31.418°

Then the apex angle is double the complement of this:

  apex angle = 2(90° -31.418°) ≈ 117.164°

The base angles are 31.42°, and the apex angle is 117.16°.

__

The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.

  leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters

The length of the legs is about 23.79 m.

5 0
4 years ago
Read 2 more answers
Complete the pattern 5, 9, 17, 33, ____, 129
k0ka [10]
The answer should be 65.  The number be added is doubled.  +4,+8, +16, +32 So 32+33=65       65+64=129
7 0
3 years ago
Not sure how to do this. Help is much appreciated. :D
Free_Kalibri [48]

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

6 0
3 years ago
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