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:

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Step-by-step explanation:

7x + 4 - 2x = 6(x + 1) - x     expand

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Step-by-step explanation:

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What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

Answers

Answer:

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

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.

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Step-by-step explanation:

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answer: 18

Answers

Answer:

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Answer:

There are a total of 18 juniors on the track team.

Step-by-step explanation:

Apply the following ratio to the quantity by multiplying.

6:7 = 6 to 7 or 6/7

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Answers

Step-by-step explanation:

let x be the number of adults and y the number of childrens

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and

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Answer:

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

YESS

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Answers

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Explanation

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Answers

4 and 6 are constants

Answer:

The constants are 6 and 4

Step-by-step explanation:

They don’t have variables next to them

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

3

Step-by-step explanation:

The slope of the chart, (the change of y over x) is 3

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Answer:

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Step-by-step explanation:

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C

Step-by-step explanation:

When subtracting a negative, the two negatives cancel out. The rule is that two like signs become positive.

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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:

to get the exponent number, you count however many times the number is being multiple by itself

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Answers

Answer:

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Step-by-step explanation:

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

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Step-by-step explanation:

standard form is Ax + By = C

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Answers

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Step-by-step explanation:

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Answers

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Keywords: Solving system of Equations

Learn more about Solving system of Equations at:

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Answer:wow this is hard

Step-by-step explanation:

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Answers

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Answers

its b because like its -2 to the power of 5 which is 0.04=1/25 i think so lol

Answer:

0.04 or 1/25

Step-by-step explanation:

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

5^-2 is 0.04 so,

f(-2) = 0.04 or 1/25

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There are two approaches to solving the equation -3x + 10 = 4x - 20

Subtract 4x from both sides. OR Add 3x to both sides.

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Solve the equation using both approaches.

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Answers

the same equation but subtract 2-9-/64/7-8

A line has a slope of 1/4 and passes through the point (0.2. 4/5).
Find the value of b, the y-intercept.
b=

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

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4/5 = 1/4(0.2) + c

Multiply

0.8 = (0.25)(0.2) + b

0.8 = 0.05 + b

b = 0.8 - 0.05 = 0.75

Answer:

b=0.75

Step-by-step explanation:

i did it on edge

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Answers

Answer: 94.8

Step-by-step explanation:

To find this, you need half of 63.2 which is 31.6. Then add that to 63.2 and bam, your answer.

Answer:

94.8g of sugar

Step-by-step explanation:

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

cross multiple- [tex]12*63.2=8*?[/tex]

solve- [tex]758.4 = 8*?[/tex]

divide by 8- [tex]758.4/8 = 94.8[/tex]

which statement is true and represent the correct form of scientific notation
A. 5.3 x [tex]10^{-2}[/tex] = -0.053
B. 2 x [tex]10^{4}[/tex] < 20,000
C.-74.308 < -0.74 x [tex]10^{3}[/tex]
D. 12,000,000 = 1.2 x [tex]10^{7}[/tex]

Answers

Step-by-step explanation:

let express them in the same form

5.3*1/100=0.053>-0.053 so A is false

2*10^4=2*10000=20,000 is equal to 20,000 so even B is false

-0.74*10^3=-0.74*1000=-740<-74.308 so even C is false

lets see D

1.2*10^7=12*10^6=12*1000000=12,000,000 which is equal to 12,000,000 so D is true

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Answer:

Draw a line that intersects the first line using a straightedge

The first answer

Answer:

second option: Draw a ray that intersects the frist line at a right angle using a straightedge

Step-by-step explanation:

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