Administrators at a local high school are organizing desks in the cafeteria for the junior students to use while taking a practice sat test. due to space limitations, there should be fewer than 264 students in the cafeteria. the administrators want there to be 13 less rows than the number of desks in each row.

if d represents the number of desks in each row, which inequality could represent this situation?

a. 13d^2-d> 264

b. 13d^2< 264

c. d^2-13d< 264

d. d^2-13> 264

The correct option is C, i.e., .

Explanation:

It is given that the total number of students in cafeteria should be less than 264. The administrators want there to be 13 less rows than the number of desks in each row.

Let the number of desks in each row be d.

Since administrators want there to be 13 less rows than the number of desks in each row. So the number of row is d-13.

In one row the number of desks is d. So in (13-d) rows the number of number of desks is d(d-13).

Since the total number of students in cafeteria should be less than 264. So we get,

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Step-by-step explanation:

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step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

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step-by-step explanation: