Answer:
The year is 
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
=> 
=> 
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
=> 
Generally the year which the considered percentage will be attained is
=> 
=>
Answer:
165
Step-by-step explanation:
Put the extra half rectangle in the empty space. It will end up being a perfect rectangle, then you did the area like you usually do..:
22 x 7.5.
=165
Good luck, hope i helped
Answer:
- vertical scaling by a factor of -4
- horizontal translation 5 units left
- vertical translation 11 units up
Step-by-step explanation:
We notice that the multiplier of the squared term in f(x) is 0.5; in g(x), it is -2, so is a factor of -4 times that in f(x).
If we scale f(x) by a factor of -4, we get ...
-4f(x) = -2(x -2)² -12
In order for the squared quantity to be x+3, we have to add 5 to the value that is squared in f(x). That is, x -2 must become x +3. We have to replace x with (x+5) to do that, so ...
(x+5) -2 = x +3
The replacement of x with x+5 amounts to a translation of 5 units to the left.
We note that the added constant after our scaling changes from +3 to -12. Instead, we want it to be -1, so we must add 11 to the scaled function. That translates it upward by 11 units.
The attached graph shows the scaled and translated function g(x):
g(x) = -4f(x +5) +11
9514 1404 393
Answer:
B. (0, –2)
Step-by-step explanation:
Put the (x, y) values into the given formula.
(x, y) ⇒ (x +5, y -2)
B(-5, 0) ⇒ B'(-5+5, 0-2) = B'(0, -2)
