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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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Nostrana [21]

Answer:   y = 2x+22

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

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

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Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

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Step-by-step explanation:

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Which solution from the equations below results in an irrational number?
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A convenience store owner reports that seven cases of beer was stolen. Each case contains For six packs and each six pack sells
Ilia_Sergeevich [38]

Answer:

The value of the stolen merchandise is 31.43

Step-by-step explanation:

Given as :

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Number of packs in each cases        = 6

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3 0
3 years ago
Consider the line <img src="https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B2%7D%7B3%7D%20x%2B1%20" id="TexFormula1" title=" y=\frac{2}
miv72 [106K]

we are given equation of line

y=\frac{2}{3} x+1

Equation of perpendicular line:

Firstly , we will find slope of line

y=\frac{2}{3} x+1

we can compare it with

y=mx+b

we get

m=\frac{2}{3}

we know that

slope of perpendicular line will be -1/m

so, slope is

\frac{-3}{2}

It passes through point (-4,5)

so, we can use point slope form of line

y-5=-\frac{3}{2}(x+4)

we get

y=-\frac{3}{2}x-1..........Answer

Equation of parallel line:

Firstly , we will find slope of line

y=\frac{2}{3} x+1

we can compare it with

y=mx+b

we get

m=\frac{2}{3}

we know that

slope of parallel line always equal

so, slope is

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It passes through point (-4,-5)

so, we can use point slope form of line

y+5=\frac{2}{3}(x+4)

we get

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4 0
3 years ago
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