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8_murik_8 [283]
3 years ago
13

19/10 rational or irrational ?

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.


19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

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Suppose f (x) = x^3 . Find the graph of f (x + 1)
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its 3rd graph, the one with (-1,0) point

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Graph g(x) = 3x^2 - 12x - 3
Paul [167]

Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

      = \dfrac{4}{2}

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

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       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

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Answer:

The relationships are correct and valid

Step-by-step explanation:

The correct question is as follows;

Verify the following

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We have the solution as follows;

i) we have;

(-3/4)^3

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so;

(-3/4)^3 = -27/64

ii) (-2/3)^6

(-2)^6 = 64

3^6 = 729

Thus;

(-2/3)^6 = 64/729

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