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
X/9=1
Multiply both sides by 9. So x=9.
Answer:
41 and 42
Step-by-step explanation:
Let the integers be x and x + 1
=> x + x + 1 = 85
=> 2x + 1 = 85
=> 2x = 84
=> x = 84/2
=> x = 41
Integers are :
41 and 42
<h3>
Answer:</h3>
The tank can hold up to 9 gallons.
Quick Review:
By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.
7/12 * 12/7 = 1
Doing the Problem:
By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.
5 1/4 ---> 21/4
Okay, lets go!
21/4 * 12/7 = 252/28
<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>
Hope that helps, :)
