Answer:
110
Step-by-step explanation:
What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?
To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:
∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞
The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.
It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:
(-45) - (+65) = -110
|-110| = 110
That's it! The Difference between -45 and +65 is as follows:
110
Answer:
The average rate of change is:

Step-by-step explanation:
The rational function given to us is;





The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =


Answer: -30
Step-by-step explanation:
Answer:
3003
Step-by-step explanation:
We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)
The number of different lineups you can have can be found by using combination:

There are 3003 different lineups that can be chosen.
Answer:
175 ways
Step-by-step explanation:
5 balls are red, and 7 balls are blue making a total of 12 balls.
4 balls are drawn from the box,
1 ball is red and 3 balls are blue out of the 4 drawn from the box.
We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.
Since the order is not essential we use combinations to find out
5C1 * 7C3= 5*35 = 175 ways