Philip needs to incorporate at least 200 roses in his floral arrangements for a wedding. each centerpiece will have 24 roses, and each bouquet will have 10 roses. write an inequality to represent the situation, if x represents the number of centerpieces philip makes, and y represents the number of bouquets.

24 x + 10 y >= 200

Step-by-step explanation:

as x represents centerpiece and y represent  bouquet and total number of roses should be atleast 200 which means we can use roses more than 200 but not less than 200,  the equation will be:

24 x + 10 y >= 200

Step-by-step explanation:

Givens:

According to the problem, we can define the number of roses per a centerpiece:

The number of roses per bouquet:

So, the problem restricts the amount of roses, at least 200, that means, 200 or more than 200 roses. Therefore the expression that represent the amount of roses would be:

As you can observe, the inequality includes the 200 roses restriction, and the amount of roses per centerpieces and per bouquet.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

table 3 represents a direct variation function. : )