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BigorU [14]
3 years ago
12

Kylee is managing a small theme park and has been analyzing the attendance data. Kylee has found that the number of visitors inc

reases exponentially as the temperature increases. Kylee has also found a linear equation that models the number of people who leave the park early depending on the temperature. Describe how Kylee can combine these two functions into a new function and explain what that function would predict
Mathematics
2 answers:
DedPeter [7]3 years ago
4 0

Answer:

f(x) =4^x

g(x) =−x+5

The solution to the system is where the functions f(x) and g(x) intersect each other, and from the graph they intersect at the point (x,y)=(1,4).

So x=1

Step-by-step explanation:

Vesna [10]3 years ago
3 0
E(T) = exponential function of visitors 
<span>L(T) = linear function of visitors leaving early </span>
<span>therefore C(T) = combined function of  visitors in park at temperature,T = </span><span> E(T) - L(T)</span>
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What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −
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Answer:

g(x) = 2x^2 - 3x - 1

Step-by-step explanation:

Given

f(x) = 2x^2 + 3x - 1

Required

Determine g(x), if f(x) is reflected across the y axis

<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>

<em />

In other words,

g(x) =  f(-x)

Calculating f(-x)

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Substitute g(x) for f(-x)

g(x) = 2x^2 - 3x - 1

<em>Hence;</em>

g(x) = 2x^2 - 3x - 1

7 0
3 years ago
Let ? = {a, b, c} be a sample space. let m(a) = 1/2, m(b) = 1/3, and m(c) = 1/6. find the probabilities for all eight subsets of
Leviafan [203]
<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):

Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6

{a}        </span>→→→→1/2
<span>{b}        </span>→→→→1/3
<span>{c}        </span>→→→→1/6
<span>{a,b}     </span>→→→→1/2 + 1/3 =  5/6
<span>{a,c}     </span>→→→→1/2 + 1/6  =  2/3
<span>{b,c}     </span>→→→→1/3 + 1/6  =  1/2
<span>{a,b,c}  </span>→→→→1/2 + 1/3 + 1/6 = 1
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The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?
Travka [436]
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Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4

--------------------------------------------------
Formula
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Perimeter = 2(length + width)

--------------------------------------------------
Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4)            <em> ← combine like terms  </em> 
62 = 6x + 8                 <em>← remove bracket </em>  
62 - 8 = 6x                  <em>← minus 8 on both sides </em>
6x = 54                      <em> ← swap sides  </em>
x = 54 ÷ 6                   <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>

--------------------------------------------------
Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

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Answer: Length = 22m
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