1500km divided by 90km = 16.6666667, so therefore it is 16 hours and 36 minutes. add that to 9:30, it arrives at 2:06am on Wednesday.
For
|a|<b
assume
-b<a<b
so
add 5 to both side
|-2-8x|<66
assume
-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8
the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
Answer:
a .8
b .03
c .125
d 125.0
Step-by-step explanation:
∈ ≤ ≥
-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)
2x + 6 ≥ - 6
2x + 6 ≤ 6 (solve the inequalities)
x ≥ -6
x ≤ 0 (find the intersection)
solution is : x ∈ { -6, 0 }
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
