There are 100 boys in sports club 65 of them play soccer ,50 play hockey ,40 play basketball, 25 play soccer and hockey, 20 play hockey and basketball, 5 play all three games. each boy plays at least one of the three games. draw a Venn diagram to illustrate this information
find the number of boy who play
a. soccer only
b. basketball only
c. exactly two games

step-by-step explanation:

the true ones are a b and d

answer: i feel you honey.

step-by-step explanation:

x=3y-6

step-by-step explanation:

solve for   x by simplifying both sides of the equation, then isolating the variable.

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.