It’s 12
On the first side (smaller triangle/ ABC) the give you one side that equals 4 and on the next triangle (bigger triangle/ DEF) it’s 8 meaning you’re going to multiply each corresponding side by 2
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
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(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
P(0) = 7,917
Step-by-step explanation:
The population of the community is given by the following formula:

In which P(0) is the initial population and r is the growth rate.
The initial population P0 has doubled in 5 years.
This means that

Which lets us find r.



Applying the 5th root to both sides


So

Suppose it is known that the population is 12,000 after 3 years.
With this, we find P(0)





The residual is the difference between the plotted point and the line of best fit.
We first need to know the point at x=5 for the line of best fit.
y1 = -(5) - 3 = -8
Now we need to find the difference between the line of best fit and the plotted point.
residual = 9 -(-8) = 9 + 8 = 17 or C