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zlopas [31]
3 years ago
7

Select the points that lie on the function g(x) = -x2 (Choose all that apply.) (0, 0) (-3, -9) (3, -9) (-3, 9)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
The function is :

                              \displaystyle{ g(x)=-x^2, 

which means that "g of a number" is equal to "negative, the square of that number".

According to the function we calculate g(0), g(-3), g(3) as follows:

g(0)=-0^2=-0=0\\\\g(-3)=-(-3)^2=-9\\\\g(3)=-3^2=-9

This means that we have the points (0, 0), (-3, -9), and (3, -9) lying on the graph of the function.


Answer: (0, 0), (-3, -9), (3, -9) 
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Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \pi × r² × h

Volume of cylinder = \pi × 9² × 20

                                = 1620\pi

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4 0
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Write a rule for the following functions. I need help fast!
marishachu [46]

Answer:

  20.  y = 3·3^x

  21.  y = (1/3)^x

Step-by-step explanation:

These exponential functions can be written in the form ...

  y = a·b^x

where a is the value of y when x=0, and b is the common ratio between terms that have x different by 1.

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20. The ratio is 9/3 = 3; the multiplier is 3 (the value of y when x=0), so the function is ...

  y = 3·3^x

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21. The ratio is (1/3)/1 = 1/3; the multiplier is 1, so the function is ...

  y = (1/3)^x

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<em>Alternate solution</em>

Each of these can be written in a more compact form:

  20: y = 3^(x+1)

  21: y = 3^(-x)

5 0
3 years ago
Write an equation for the exponential function represented in the graph below.
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Step-by-step explanation:

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6 0
3 years ago
Solve this quadratic equation by completing the square. x2 + 10x = 26
Misha Larkins [42]
                        x² + 10x = 26
                x² + 10x + 25 = 26 + 25
          x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
         x(x + 5) + 5(x + 5) = 51
                 (x + 5)(x + 5) = 51
                          (x + 5)² = 51
                             x + 5 = ±√(51)
                                 - 5      - 5
                                   x = -5 ± √(51)
                                   x = -5 + √(51)    or    x = -5 - √(51)
5 0
4 years ago
Read 2 more answers
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