Answer:
Step-by-step explanation:
Given is a function f(x)
We have to analyse and sketch the graph
X intercept : Put y =0, we get x=0
Y intercept: Put x =0 , we get y =0
No exception for x or y and hence set of all real numbers is domain and range.
f' becomes 0 not at finite points
So relative extreme
Graph is sketched and attached
Answer:
Step-by-step explanation:
81 = 9 * 9 = 3 * 3 * 3 *3
8 = 2 * 2 * 2 *2
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90
Order the number:
15,34,71,75,75,78,78,78,82,90,90,94,100
Mode:78
Mean≈74.8
Median:78 is your final answer. Hope it help!
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
