The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.

options:

2x+3y 100

2x+3y≤100

2. For the inequality y
options:
True
False

its 2x+3y>100

Step-by-step explanation:

BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.

We want the maximun or minimum of

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

Therefore, the maximum point of the function is

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