Answer:
y = 1/2x + 2
Step-by-step explanation:
slope:
6 - 3 / 8 - 2 = 3 / 6 = 1/2
start by putting it in point slope form and then simplify it to slope intercept form:
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50
Therefore, the average rate of change of the function in the three seconds is -50.
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
If it is in a square formation, you would have to find the square root of 36 which is 6
