There is 5/8 of an hour before the end of soccer practice. it takes 1/6 of an hour for the team to complete 1 full scoring drill. how many drills can the team complete before practice is over? create a model or write an equation for the situation. find the solution. state the solution as a full sentence

Three full scoring drill can be completed in hrs with hrs still remaining in end of practice session.

Solution:

Given that  

Time remaining before end of soccer practice in hours =

Time required for 1 full scoring drill =

Need to identify how many drills can be complete before practice is over.

For sake of simplicity lets make denominators of both the numbers same.

is time for 1 drill

Lets say

Time remaining =

3d means three drills will be completed. Fourth drill will not complete because is not sufficient to complete  a drill.

Hence mathematical representation of given situation is  

Where d is the time required to complete one drill equal to of hour.  

So three full scoring drill can be completed in hrs with hrs still remaining in end of practice session.  

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3