Answer:
Range of F(x) = (-∞ ,72).
Step-by-step explanation:
Range of the function F(x) means the set of values which are taken by the function along its domain.
F(x) = 72 -
Since coefficient of is negative on the right side ,
Maximum value of F(x) will come at x = 0.
Which is, F(0) = 72.
Now, as x increases , F(x) decreases , when x will reach infinity ,
F(x) will be reaching negative of infinity .
Thus, F(x) is ranging from -∞ to 72 .
Range of F(x) = (-∞ ,72).
Look at the attached image (credit to Desmos graphing calculator)
To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.
Let's try x=0:
One point on the line is (0,1)
Let's try x=1:
Another point is (1,5).
Now, plot these two points and draw a line through them.
a) 20.9
The mean is calculated by adding up the scores and dividing the total by the number of scores, it is also called the average.
First, we can count and see there are 11 players (makes sense for a football team). Adding up the ages gives us 19 + 19 + 20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 = 230. Divide by 11 and we get a mean of of about 20.9!
b) 30
To figure this out, we will set up an equation that looks like this:
And now we will solve:
[multiply both sides by 12] 230 + x = 264
[subtract 130 from both sides] x = 30
So the age of the new player should be 30!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather