Answer:
This is actually a reduction, and the scale factor of this dilation is 0.5.
9514 1404 393
Answer:
g(x) = 3x^2 -2
Step-by-step explanation:
Reflection in the y-axis replaces x with -x.
g(x) = f(-x) = 3(-x)^2 -2
g(x) = 3x^2 -2
_____
The given function is symmetrical about the y-axis, so its reflection is itself.
A₁ = 1; r=1.5
a₉ = a₁ * r⁸ = 1 * 1.5⁸ ≈ 25.63
Answer: c. 25.63
You distribute the number outside the parenthesis from the inside like the 3 to the q and the 3 to the 1 then the -4, add 1 and -4 which becomes -3 but then leave the one with the variable so it becomes 3q-3. do the same for each problem and the one with the fraction i suggest converting it to decimals so it's easier.
Answer:
Step-by-step explanation:
A = Pe^rt
A = total
P = amount you start with
r = rate
t = time
Let's calculate the rate.
99000000 = 94000000e^r*6
Divide each side by 94m
99000000/94000000 = e^6r
Take the natural log of e of both sides.
ln(99000000/94000000) = 6r
Divide each side by 6.
(ln(99000000/94000000))/6 = r
Now we can find the population in 2005.
A = 94000000e^0.00863751131 * 12
A = 104265957
The population in 2005 is 104,265,957 people.