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trasher [3.6K]
3 years ago
15

The graph of g(x) is a transformation of the graph of f(x)=3x .

Mathematics
2 answers:
Karolina [17]3 years ago
8 0
When a graph is transformed, it could be translated, reflected, dilated, or rotated. However, no matter what kind of transformation that is, it does not change the nature of the graph. A line would still be a line; a curve would still be a curve. So, that is my basis for my solution. There is no need to graph the problem. You only need to find the equation of g(x) through the two points given: (2,0) and (3,2)

m = Δy/Δx = (2-0)/(3-2) = 2
Use point (2,0) to find b:
y = mx + b
0 = 2(2) + b
b = -4

So, <em>g(x) = 2x - 4</em>
almond37 [142]3 years ago
7 0

Answer:

g(x) = 2x - 4

Step-by-step explanation:

hope this helps!!!!!!!

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Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What
butalik [34]

Answer:

80 Dollars per chair

Step-by-step explanation:

Step One:

Subtract 720 by (-) 240

this should give you, 480

Step Two:

Divide 480 by 6

Which gives you your answer 80

5 0
2 years ago
Five hundred sixth-grade students
AveGali [126]

Answer:

The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Solution:

Given that,

Five hundred sixth-grade students  were surveyed

Which means,

sixth-grade students = 500

125 had traveled on an airplane

What is the ratio of total sixth-grade students to the number of students who had  traveled on an airplane?

Therefore,

total sixth-grade students : students  traveled on airplane = 500 : 125

Ratio = 500 : 125

Reduce to lowest terms,

Divide both sides by 5

Ratio = 100 : 25

Further reduce to simplest terms,

Divide both sides by 25

Ratio = 4 : 1

Thus the ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Step-by-step explanation:

3 0
2 years ago
Please help me solve this challanging question 9 (step by step sulotion) 50 points!
defon

9514 1404 393

Answer:

  10

Step-by-step explanation:

Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...

  L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same

After the second exchange, amounts trade places:

  (L +30n) +6(50) = T

Substituting this into the first equation, we get ...

  L +30n = ((L +30n) +300) -30n

  30n = 300

  n = 10

Leo gave Theo ten $20 bills.

_____

<em>Comment on the amounts</em>

Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.

8 0
2 years ago
If a rectangle has side lengths x+4 and 2x what is the perimeter and area of the rectangle?
pochemuha

Answer:

Perimeter: 6x+8

Area: 2x²+8x

Step-by-step explanation:

Perimeter- the sum of all sides

So, you do x+4+x+4+2x+2x

Simplify that to- 2x+2x+2x+8

And also simplify that to- 6x+8

Area- length*width

So, it's (x+4)*2x

which is 2x²+8x

7 0
3 years ago
Evaluate the expression for x = 15 x - 9
vesna_86 [32]

[ Answer ]

\boxed{6}

[ Explanation ]

X = 15

X - 9

Substitute 15 For X

15 - 9

= 6

\boxed{[ \ Eclipsed \ ]}

8 0
3 years ago
Read 2 more answers
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