Answer:
5/12
Step-by-step explanation:
slope is 
so 
and that is 5/12
Please mark brainliest!!! Thanks.
<h2>
Average rate of lowering per minute = 36.67 ft/min</h2>
Step-by-step explanation:
After 10 minutes, the bell is at a depth of 600 ft
After 10 minutes
Depth of bell = 600 ft
After 40 minutes the bell is at a depth of 1,700 ft.
After 40 minutes
Depth of bell = 1700 ft
Time gap = 40 - 10 = 30 minutes
Depth fallen = 1700 - 600 = 1100 ft
We have
Depth fallen = Average rate of lowering per minute x Time gap
1100 = Average rate of lowering per minute x 30
Average rate of lowering per minute = 36.67 ft/min
Answer:
it is an arithmetic sequence
m is slope
b is y-intercept
Step-by-step explanation:
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
