Answer:
A. 16
Step-by-step explanation:
We have to find rate of change of function from x=3 to x=5
The average rate of change for the interval a≤x≤b is given by:
Rate of change= (f(b)-f(a))/(b-a)
In our question,
a=3
and
b=5
We can see from the table that at x = 3, the value of function is 18
So,
f(a)=18
and
At x=5, the value of function is 50
f(b)=50
Rate of change=(50-18)/(5-3)
=32/2
=16
So the rate of change of function between x=3 and x=5 is 16 ..
Option A is the correct answer..
Answer:
320%
Step-by-step explanation:
Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
180-115=65
65+70=135
180-135=45
SO C.45
