Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
Answer:
-5,3
Step-by-step explanation:
-5x3=-15
-5+3=-2
Answer:
Answer;
-38 %
Step-by-step explanation:
Explanation;
-Budget busters are the large potential problem areas that can destroy a budget. Failure to control even one of these problem areas can result in financial disaster.
-Housing takes about 38 percent of your monthly budget. Housing decisions should be based on need and financial ability, not on internal or external pressure.
-Food takes 12 percent of your monthly budget. The reduction of a family's food bill requires quantity and quality planning.
-Transportation (purchase and maintenance), takes 15 percent of your monthly budget, Debts takes 5 percent of Net Spendable Income, Insurance takes 5 percent of Net Spendable Income assuming an employer provides medical insurance, Recreation/Entertainment takes 5 percent of Net Spendable Income, Clothing takes 5 percent of Net Spendable Income, Medical and dental takes 5 percent of Net Spendable Income and Savings takes 5 percent of Net Spendable Income
Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
