Answer:
48.6
Step-by-step explanation:
Given:
The equation of a line is:

The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:

For
,




For
,




Divide both sides by 2.


The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then

Using this rule, we get


Similarly,


The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:




Multiply both sides by 2.



Therefore, the equation of the line after the dilation is
.
Answer:
d
Step-by-step explanation:
i think its d
Step-by-step explanation:
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Answer:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x � 5; $108.95
D. f(x) =1.05x; $115.50
total cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 to get
f(x) = 1.05x
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50 (after tax is added on)
Step-by-step explanation:
1: the total cost of a CD player would be 104.76
2: Total Cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 into the function
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50
3: Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50