4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)

Answers

Answer 1

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

Answer 2

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

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Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The linear formula follows this general form: y = mx + c

Hence, to put 5-y=-3x in standard form, you would rearrange it

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Answer:

3x-y=-5

Step-by-step explanation:

standard form is Ax + By = C

5-y=-3x      move the y to the other side by adding it to the -3x

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Step-by-step explanation:

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Step-by-step explanation:

Set up a ratio- [tex]\frac{63.2}{8} =\frac{?}{12}[/tex]

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Answers

Answer:

The value of the y-intercept b is 0.75

Step-by-step explanation:

Here, we want to find the value of the y-intercept

The equation of the line can be written as;

y = mx + b

where m is slope and b is the y-intercept

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To get the value of b , we substitute for x and y using the given point

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Let:

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Keywords: Solving system of Equations

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Step-by-step explanation:

YESS

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Answers

Answer:

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Step-by-step explanation:

Answer:

A) 11 Customers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:


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Answers

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Step-by-step explanation:

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What's the question?

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Answer:

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Step-by-step explanation:

Answer:

1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.

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Answer:

C

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Answers

Answer:

There are 18 juniors on the track team

Answer:

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Step-by-step explanation:

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Answers

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0.04 or 1/25

Step-by-step explanation:

If x = -2, then the equation is f(-2) = 5^-2

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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