Answer:
Step-by-step explanation:
What are the answer options
given :-
p(t) = 3t^2 - 5t - 7
g(t) = t - 5
=> t = 5
on putting values..
p(5) = 3(5)² + 5(5) - 7
= 3(25) + 25 - 7
= 75 - 18
= 57
hence, the remainder is 57.
D. 57 is the correct option
X^2-4x+4
(x-2)(x-2) or (x-2)^2
Check:
-2-2=-4
-2*-2=4
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Quick question, why didn't you just use the calculator on the device you took this photo with? Anyway, the answer is 5.62
