It has 2 real solutions which are 5 and 8
The answer is 2x-6 I think
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
-2(8m+8) = -16
-16m - 16 = -16
His first mistake lies in his distribution. When multiplying -2 * 8, he made it a positive 16, when he should have made it a negative 16.
-16m - 16 = -16
Add 16 to each side.
-16m = 0
Divide that by -16
m = 0
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
