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o-na [289]
1 year ago
15

You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and enter

tainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation?
Mathematics
1 answer:
Pavel [41]1 year ago
3 0
Domain is 25 & 200
Range is 175
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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
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The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

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Step-by-step explanation:

To solve, you just substitute x for 8

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