Of all numbers x and y whose sum is 50, the two that have the maximum product are xequals=25 and yequals=25. that is, if xplus+yequals=50, then xequals=25 and yequals=25 maximize qequals=xy. can there be a minimum product? why or why not?

x + y = 50 

Q = x * y 

Combining the two:
Q = x * (50 - x) 
Q = 50x - x^2 
Q = -x^2 + 50x 
Q = -(x^2 - 50x) 
Q = -(x^2 - 2 * 25x + 25^2 - 25^2) 
Q = 25^2 - (x - 25)^2 
Q = 625 - (x - 25)^2 

So what we got is an equation for parabola with a vertex at (25 , 625) and it opens downward. We know that parabolas only have one critical value, so if x and y are unrestricted, then there's no minimum product.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%