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Minchanka [31]
3 years ago
8

First picture is by itself. Next is graph problem :)

Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

1). g(-9) = -81.914

2). Last option

Step-by-step explanation:

1). f(x) = x²

   For x = -9

   f(-9) = (-9)² = 81

   g(x) = \frac{32}{2x-17}

   g(-9) = \frac{32}{[2(-9)-17]}

           = \frac{32}{-35}

           = - \frac{32}{35}    

   (g - f)(-9) = g(-9) - f(-9)

                  = -\frac{32}{35}-81

                  = \frac{-32-2835}{35}

                  = -\frac{2867}{35}

                  = -81.914

2). The relation is not a function because this function doesn't passes a vertical line test.

Last option will be the answer.

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The value of k is(3\sqrt{ 10})/2

<h3>How to solve the simultaneous equation?</h3>

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

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y²= 15-2x²

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Substitute the value of y into eq i

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A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 150 li
Anika [276]

Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

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How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

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