Answer:
T = 3
Step-by-step explanation:
To find the period, find the distance it takes to complete one cycle.
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Answer:
Step-by-step explanation:
Distribute the 5 into the parentheses (multiply them both by 5)
Subtract the 6.5 from -25.
Divide -31.5 by 15.5.
Answer:
14
Step-by-step explanation:
We can find the sum of these numbers by adding them together.
The cumulative rule of addition lets us add numbers together in any order we want.
So, for 2 + 3 + 4 + 5 …
2 + 3 = 5
So now we have 5 + 4 + 5
5 + 4 = 9
Now we have 9 + 5
And 9 + 5 = 14
So, your answer is 14
Hope this helps!
