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:
The answer to the question is b I think
Answer:
The range of the data is 19.
Step-by-step explanation:
To solve this problem, we must remember that to calculate the range, we subtract the smallest data point in the set from the largest data point. In this case, the largest number is 25 and the smallest number is 6.
Therefore the range is:
25 - 6
= 19
Hope this helps!
Answer:
CDJ= 34
Step-by-step explanation:
We know that ADJ = 90 degrees
ADK = 180 degrees and JDK equals 90 degrees so ADJ must equal 90 degrees
ADJ = ADC+CDJ
ADJ =4x+ 3x-8
Since ADJ = 90 degrees
90 = 4x+3x-8
Combine like terms
90 = 7x-8
Add 8 to each side
90+8 = 7x-8+8
98 = 7x
Divide each side by 7
98/7 = 7x/7
14 =x
We want to know CDJ
CDJ = 3x-8
CDJ = 3(14) -8
CDJ = 42-8
CDJ= 34
7? Is seems that the 4 is being added with +2 when it got bigger so I’m thinking the 5 would be the same thing +2 equals 7..that’s what I’m thinking