1/3 of 12,000 ballots were thrown out.
1/3 * 12,000 = 12,000/3 = 4,000
4,000 ballots were thrown out.
12,000 - 4,000 = 8,000
There were 8,000 ballots left.
1/4 of 8,000 ballots are for candidate A.
1/4 * 8,000 = 8,000/4 = 2,000
Candidate A received 2,000 votes.
8,000 - 2,000 = 6,000
Candidate B received 6,000 votes.
Answer: y - 9 = 2(x - 5)
Step-by-step explanation:
Point slope form: y - y1 = m(x - x1)
substitute 5 for x1 and 9 for y1 and 2 for m
x1 = 5
y1 = 9
m = 2
you get y - 9 = 2(x - 5)
Answer:
45 cubes
Step-by-step explanation:
There are 10 cubes in each 1. so 10 x 4 = 40. 1/2 of 10 is 5 so 40+5 = 45.
Answer:
x = -5/2 + i√19 and x = -5/2 - i√19
Step-by-step explanation:
Next time, please share the possible answer choices.
Here we can actually find the roots, using the quadratic formula or some other approach.
a = 1, b = 5 and c = 11. Then the discriminant is b^2-4ac, or 5^2-4(1)(11). Since the discriminant is negative, the roots are complex. The discriminant value is 25-44, or -19.
Thus, the roots of the given poly are:
-5 plus or minus i√19
x = -----------------------------------
2(1)
or x = -5/2 + i√19 and x = -5/2 - i√19
