Answer:
0.772
Step-by-step explanation:
Original equation:
Divide both sides by 18
Rewrite in logarithmic form (
)
Divide both sides by 5
Rewrite the equation so that base is 10 using change of base formula: 
Keep, change, flip
Use a calculator to approximate log14.5 and log2
Multiply in denominator
Divide two values
Round to nearest thousandth
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
2/6 has a repeating decimal form.
If you plug it in the calculator, you get 0.3333... with the 3 repeating.
Hope this helps.
If you have any questions, place it in the comment section below.
Answer:
7 15 178
Step-by-step explanation:
Y=2/3x -4 . First, you look for the y when x=0. Then you try to find the best variation
