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: 85.5
Step-by-step explanation:
There are 22 data points in the data set.
We can find the median by looking at the 11th and 12th scores, and averaging them.
The 11th score is 85
The 12th score is 86
The average of the two is 85.5
Hence the answer is 85.5
Answer:
Step-by-step explanation:
Distance traveled by Talia = x
Cost for travelling 'x' miles = x * 0.20 = 0.2x
Daily budget = $94
Inequality,
30 + 0.2x ≤ 94
Solution:
0.2x ≤ 94 - 30
0.2x ≤ 64 {Divide both sides by 0.2
x ≤ 64/0.2
x ≤ 320