Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Answer:
Total cost = charge fee + 55× no. of hours
Let h represents number of hours
Total cost = 35 + (55×h)
2160 - 180 - 432 = 612
Each parallelogram is 3 square inches
divide by 3
612/3 = 264 parallelograms to complete the quilt.
Answer:
x = 0
Step-by-step explanation:
3(x - 1) = 2x - 3 + 3x
3x - 3 = 2x - 3 + 3x
0 - 3 = 2x - 3
0 = 2x
2x = 0
x = 0 ÷ 2
<u>x</u><u> </u><u>=</u><u> </u><u>0</u>
We take 2 marbles from 20 marbles and the total ways is 20x19:2=190
But we need only 2 red marbles and the ways is 14x13:2=91
And finally we do the division 91:190=91/190 is the probability we need