Answer:
in x>5 x is larger than 5
Step-by-step explanation:
x=5 means x is equal to 5
x>5 means x is greater than 5
Differentiate it
get f ' (x)=3x^2-4
put 3x^2-4=0
x=2/√3,-2/√3
so interval
x∈(-2/√3,2/√3)
Angle A and angle B sums up to 180 (interior angles)
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
angle A = 6(18)-35 = 73 degrees
Answer: Time at which the meet = 10:17:24 am
Step-by-step explanation: Speed of Ivan = 12 mph
Speed of Kate = 16 mph
Total distance traveled = Initial separation = 40 miles
Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m
If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,
We have
Distance = Speed x Time
Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan
40 = t x 12 + (t-1.5) x 16
40 = 28t - 24
28t = 64
t = 2.29 hours
So after 2.29 hours of Ivan's starting they meet,
Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am
Time at which the meet = 10:17:24 am
