Michaela caught 3 fish, which weigh a total 19 1/2 pounds. one fish weighs 7 5/8 pounds and another weighs 5 3/4 pounds. how much does the third fish weigh?

Find a common denominator for 2,4,8. Which is 8. Change the fractions to new ones.

1) 19 4/8= 156/8 Then add the second. 2) 7 5/8= 61/8 one and the third
3) 5 6/8= 46/8 one. Which is

15/8. Then, subtract your answer and the first one. You get 141. Simplify. 17 5/8

The Discriminant = b²-4ac
1.
a=2
b= 5
c=-3
The Discriminant is 49
When a, b and c are real numbers, a ≠ 0 and discriminant is positive and perfect square, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are real, rational unequal.

2.
a=-1
b=1
c=1
The Discriminant is 5
When a, b and c are real numbers, a ≠ 0 and discriminant is positive but not a perfect square then the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational and unequal.

3.
a=1
b=6
c=11
The Discriminant is-8
then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and imaginary.

4.
a=9
b=-54
c=81
The Discriminant is 0
the roots α and β of the quadratic equation ax2 + bx + c = 0 are real and equal.