Answer:
11-3i
Step-by-step explanation:
6-7i+5+4i=6+5-7i+4i=11-3i
we are given
parent function as

Suppose, we are given a function y=f(x) is compressed horizontally by ''b'' units
where b>1
so, we can write as
new function as

Here, it is compressed by factor 6
so, we can replace x as 6x
and we get

so, option-A.........Answer
If the volume of a cylinder is x, then the volume of a cone with same height and diameter is x/3
so
if the cone is 72ft³ then the cone with same base and height is 72/3ft³=24ft³
answer is A
Answer:
a) The maximum height is approx 15.5 unit.
b) The time it will take for Joey to reach the water is 1.45 hour.
Step-by-step explanation:
Given : When Joey dives off a diving board, the equation of his pathway can be modeled by 
To find : a) Find Joey's maximum height.
b) Find the time it will take for Joey to reach the water.
Solution :
Modeled
....(1)
a) To find maximum height
Derivate (1) w.r.t. t,

For critical point put h'=0,



Derivate again w.r.t. t,

It is maximum at t=0.46875.
Substitute t in equation (1),



The maximum height is approx 15.5 unit.
b) To find the time it will take for Joey to reach the water.
Put h=0 in equation (1),
Apply quadratic formula, 
Here, a=-16 , b=15, c=12
Reject negative value.
The time is t=1.45.
The time it will take for Joey to reach the water is 1.45 hour.