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Gnoma [55]
4 years ago
5

Let p(x)=90/9+50e^-x What is p(3)

Mathematics
2 answers:
Fittoniya [83]4 years ago
5 0

<u>Answer:</u>

p (3) = 7.83

<u>Step-by-step explanation:</u>

We are given the following expression and we are to evaluate it given that the value of p = 3:

p ( x ) = \frac { 9 0 } { 9 + 5 0 e^ { - x } }

Substituting the given value of p to get:

p ( 3 ) = \frac { 9 0 } { 9 + 5 0 e^ { - 3 } }

p ( 3 ) = \frac { 9 0 } { 11.489 }

p ( 3 ) = 7.83

djyliett [7]4 years ago
4 0

Answer:

If it is p(x)=\frac{90}{(9+50e^{-x})}, then: p(3)=7.83

If it is p(x)=\frac{90}{9}+50e^{-x}, then: p(3)=12.48

Step-by-step explanation:

To solve this exercise you must substiute x=3 into the expression given in the problem.

1) If the expression is p(x)=\frac{90}{(9+50e^{-x})}, you obtain:

p(3)=\frac{90}{(9+50e^{-(3)})}

p(3)=7.83

2) If the expression is p(x)=\frac{90}{9}+50e^{-x}, you obtain:

p(3)=\frac{90}{9}+50e^{-(3)}\\p(3)=12.48

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Write a linear equation that passes through the two points (-6, -7) and (3, -4).
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linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

y=mx+b

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Finding slope m:

Slope can be found by using formula:

slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}

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y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5

So, value of b is -5

Putting values to find the equation:

y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5

So, linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Keywords: Linear Equation,

Learn more about Linear Equation at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

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