Answer:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Step-by-step explanation:
We know that the Hendricksons are in charge of bringing treats for 5050 football players.
They brought 33 coolers of popsicles and 22 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.
We conclude that:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Move the comma 2 time to the left .25
9514 1404 393
Answer:
- graph is shown below
- absolute max and min do not exist
- local max: 0 at x=0
- local min: -500/27 ≈ -18.519 at x=10/3
Step-by-step explanation:
The function is odd degree so has no absolute maximum or minimum. It factors as ...
g(x) = x^2(x -5)
so has zeros at x=0 (multiplicity 2, meaning this is a local maximum*) and x=5.
Differentiating, we find the derivative of g(x) is zero at x = 0 and x = 10/3.
g'(x) = 3x^2 -10x = x(3x -10) ⇒ x=0 and x=10/3 are critical points
The value of g(10/3) is a local minimum. That value is ...
g(10/3) = (10/3)^2((10-15)/3) = -500/27 ≈ -18.519
__
The local maximum is (0, 0); the local minimum is (10/3, -500/27). The graph is shown below.
_____
* When a root has even multiplicity, the graph does not cross the x-axis. That means the root corresponds to a local extremum. Since this is the left-most root of an odd-degree function with a positive leading coefficient, it is a local <em>maximum</em>. (The function is <em>increasing</em> left of the left-most turning point.)
Answer:
4x+4y
Step-by-step explanation:
2x+2y+2x+2y
= 4x+4y