Given f(x)=3x²-5x-2
a) To find f(a+h) replace x with a+h in the given function. So,
f(a+h)=3(a+h)²-5(a+h)-2
=3(a²+2ah+h²)-5(a+h)-2 By using the formula (x+y)²=x²+2xy+y².
=3a²+6ah+3h²-5a-5h-2 By distributing property.
b) Similarly to find f(a) we need to replace x with a. So,
f(a)=3a²-5a-2
So, f(a+h)-f(h)= (3a²+6ah+3h²-5a-5h-2)-(3a²-5a-2)
=3a²+6ah+3h²-5a-5h-2-3a²+5a+2.
=6ah+3h^2-5h (All other terms has been cancel out)
Answer:
the first step is correct
Step-by-step explanation:
the first step is correct
then draw 2 circles with the same radius with centre D and E ( the point BC intersect the first circle )
Where the 2 circles are intersecting is the point F
Then BF is the bisector
Distance traveled by Robert = 292 miles
Time taken by Robert to cover this distance = 4 hours.
Now converting miles in feet.
1 mile = 5280 feet
so, 292 feet = 292 * 5280 = 1541760 feet
Now converting 4 hours in seconds.
1 hour = 3600 seconds
so, 4 hours have 3600 * 4 = 14400 seconds.
Now the question says, we have to find the speed in feet per second

equals,

= 107.067 feet per second
we know that
Angles in a linear pair are supplementary angles
So
Let
A-------> the first angle
B------> the second angle
----> equation 

Substitute the values of A and B in the equation 


therefore
the answer is
the value of x is 
What is the potential outlier in the following data set of populaion densities? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,7
MAXImum [283]
Answer:
738
Step-by-step explanation:
It’s to different from the other numbers