Square H"G"F"E" is 6/4 or 3/2 times the size of square EFGH.
Use the following 4 transformations to map EFHG onto its image E"F"G"H":
1. Invert EFGH about y=1 so that it's numbering becomes HGFE, in the same order as its image.
2. Dilate EFGH by 3/2. This will make EFGH of the same area as E"F"G"H". Its center will be at (-4, 1).
3.Translate EFGH along x (horizontally to the left) by 2 units. This will line up EFGH with E"F"G"H" but it will be 10 units above its image.
4. Translate EFGH along y (vertically downward) by 10 units. This will map EFGH onto its image E"F"G"H".
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
twice means "multiply by 2"
increased means "add"
2n + 4 = 18
