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lakkis [162]
3 years ago
9

The value of a boat, in dollars, x years after its purchase is represented by the function.

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Given the function f(x) = 10000(0.73)^x

<span>Where y is The value of a boat, in dollars, </span> <span>x years after its purchase </span>
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300  
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329  
so the decrease
D = $7300 - $ 5329
D = $ 1971

<span> </span>

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so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".

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What is the first quartile of the data set: {13, 15, 19, 35, 25}
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Is x^(-2)+5 a polynomial expression? Why or why not?
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Thanks for the correction. Answer: No, x^(^-^2^)+5 is a polynomial expression because it has a break between numerical exponents. It goes from 0x^1 to x^2, which makes it in the form of x^{2} to x^0 which means that it is NOT a polynomial.
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What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?
yuradex [85]

y = (x + 4)³ - 7

<h3>Further explanation </h3>

There are four types of transformation geometry:  

  • translation (or shifting),  
  • reflection,  
  • rotation, and  
  • dilation (stretching or shrinking).  

In this case, the transformation is shifting vertically and horizontally.

  • Translation (or shifting): moving a graph on an analytic plane without changing its shape.  
  • Vertical shift: moving a graph upwards or downwards without changing its shape.  
  • Horizontal shift: moving a graph to the left or right downwards without changing its shape.  

Vertical Shift

Given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

Horizontal Shift

Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

- - - - - - - - - -

<u>Given:</u>

The parent graph \boxed{ \ y = x^3 \ }

<u>Question:</u>

What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?

<u>The Process:</u>

Clearly, we must translate the graph of \boxed{ \ y = x^3 \ } to obtain the new equation of the graph.

\boxed{ \ y = x^3 \ } translated 4 units left.

It becomes \boxed{ \ y = (x + 4)^3 \ }

Furthermore, \boxed{ \ y = (x + 4)^3 \ } translated 7 units down.

Thus, the result is \boxed{ \ y = (x + 4)^3 - 7 \ }

<u>Conclusion </u>

Thus, when the parent graph of y = x³ translated 4 units left and 7 units down, the result is the equation of the graph y = (x + 4) ³ - 7

<h3>Learn more   </h3>
  1. Transformations that change the graph of f(x) to the graph of g(x) brainly.com/question/2415963
  2. The similar problem brainly.com/question/1369568
  3. Which equation represents the new graph brainly.com/question/2527724

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