Solution :
1st -
2nd -
3rd -
4th -
Conclusion - only third choice has negative equivalent value
X=3
Algebra is not one of my fav subjects in math but I do know this!
when solving what you do to one side you do to the other so
if 3x-2=7
the 2 is negative so you change that -2 into a positive
so add 2 to both sides
7+2=9
3x=9
now divide both sides by 3
X= 9/3 (nine over three)
now divide 9 by 3
9÷3=3
x=3
(Hope this helps!)
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
-10+4u because you add the 3u and u because they are alike terms then you add together all the other numbers left
