jeremy plays basketball for the varsity team last season he scored a total of 1489 points consisting of two point and three baskets if jeremy made a total of 640 baskets how many of the baskets counted three points?

a. 1,227
b. 208
c. 1,489
d. 431

The baskets that counted three points was

Step-by-step explanation:

Let

x-----> number of baskets of two points

y-----> number of baskets of three points

we know that

----> equation A

-----> ------> equation B

substitute equation B in equation A and solve for y

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.