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Montano1993 [528]
3 years ago
11

I need some Help please

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

a) f(2) = 4

b) g(3) = 3

c) g(1/3) = -1

d) f(3) = 1/2

e) g(-2) = 2

f) f(π) = 3

Step-by-step explanation:

We are given:

f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}

We need to find the following values of f and g

a) f(2)

f(2) means when x=2, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4

So, f(2) = 4

b) g(3)

g(3) means when x=3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3

So, g(3) = 3

c) g(1/3)

g(1/3) means when x=1/3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1

So, g(3) = -1

d) f(3)

f(3) means when x=3, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2

So, f(3) = 1/2

e) g(-2)

g(-2) means when x=-2, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2

So, g(-2) = 2

f) f(π)

f(π) means when x=π, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3

So, f(π) = 3

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Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in
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Answer:

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Part B) 10\ workers

Part C) 40\ workers

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

so

For x=16, y=40

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the values

k=\frac{y}{x}

k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}

The linear equation is equal to

y=2.5x

Part A) How many workers are needed to make 20 pieces

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substitute in the linear equation

20=2.5x

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Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

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Part C) How many workers are needed to make 100 pieces

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3 years ago
Help ASAP!!!!!!!!!!!!!!!!!​
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Answer:158 centimeters

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7 0
3 years ago
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Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
iren [92.7K]

Answer:

Mean = 42

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

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Required

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First, we have that:

F + N + D = 128

Substitute 44 for D

F + N + 44 = 128

Subtract 44 from both sides

F + N + 44 - 44 = 128 - 44

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Arithmetic mean of F and N is calculated as follows:

Mean = \frac{F + N}{2}

Mean = \frac{84}{2}

Mean = 42

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