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iren [92.7K]
3 years ago
13

Given that (-6,2) is on the graph of f(x) find the corresponding point for the function f(1/4x).

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0
Answer: (-24,2)

=======================================

Work Shown:

The y coordinate stays the same. Only the x coordinate will change.

(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2

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Solve the following systems by substitution
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Answer:

The answer to your question is below

Step-by-step explanation:

Question 1

                x = 5                       Equation l

                2x + y = 10              Equation ll

- Substitute Equation l in equation ll

               2(5) + y = 10

                y = 10 - 10

                y = 0

- Solution  (5, 0)

Question 2

                 x + 16y = 20          Equation l

                 x = 4y                    Equation ll

Substitute equation ll in equation l

                4y + 16y = 20

                        20y = 20

                           y = 20/20

                           y = 1

-Find x

                x = 4(1)

                x = 4

-Solution

                (4, 1)

Question 3

                   2x + 8y = 20            Equation l

                     x = 2                       Equation ll

-Substitute equation ll in equation l

                   2(2) + 8y = 20

                      4 + 8y = 20

                            8y = 20 - 4

                            8y = 16

                              y = 16/8

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3 years ago
In a population of humans, the frequency of blue eyes is 0. 9. If having blue eyes is the recessive phenotype, what is the frequ
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The answer is $45.84

Step by step explanation:

Commission William makes on the things he sells = 6%

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So the commission William will make is =

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Hence, William will make a commission of $45.84 on the computer he will sell for $764.

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The function f(x)= -1/4(x) +1 is getting closer to a particular number. Its initial values are 4 and -2, what happens to the val
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Answer:

After 10 iterations, the value is approximately the value it gets closer each time, which is 0.8 (or 4/5)

Step-by-step explanation:

If the inicial value is 4, we have:

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2: f(0) = -1/4(0) + 1 = 1

3: f(1) = -1/4(1) + 1 = 3/4

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8: f(819/1024) = -1/4(819/1024) + 1 = 3277/4096

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2: f(3/2) = -1/4(3/2) + 1 = 5/8

3: f(5/8) = -1/4(5/8) + 1 = 27/32

4: f(27/32) = -1/4(27/32) + 1 = 101/128

5: f(101/128) = -1/4(101/128) + 1 = 411/512

6: f(411/512) = -1/4(411/512) + 1 = 1637/2048

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8: f(6555/8192) = -1/4(6555/8192) + 1 =  26213/32768

9: f(26213/32768) = -1/4(26213/32768) + 1 = 104859/131072

10: f(104859/131072) = -1/4(104859/131072) + 1 = 419429/524288 = 0.8

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