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Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
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To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.