<h3>
Answer:</h3>
2x^2 -5x -2
<h3>
Step-by-step explanation:</h3>
See the attached for the polynomial long division.
It should be -1 I believe.
Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute

Answer:
720 possible ways
Step-by-step explanation:
The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.
The first position can be taken by any of the 10 runners
Now, the second position can be taken by remaining 9 runners
while the third position can be taken by the renaming 8 runners.
Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways