Number of golfers that didn't qualify = 30
Explanation:
Total number of golfers = 80
The percentage that qualified for the next round = 62.5% = 0.625
Number that qualified = 80 * 62.5%
= 80 * 0.625
Number of golfers that qualified = 50
Number of golfers that didn't qualify = Total number of golfers - Number of golfers that qualified
= 80 - 50
Number of golfers that didn't qualify = 30
Distance = SQRT((X2 -x1)^2 + (y2-y1)^2)
Distance = sqrt((2 - (-2)^2) + (-2 - 1)^2))
Distance = sqrt(4^2 + -3^2)
Distance = sqrt(16 + 9)
Distance = sqrt(25)
Distance = 5
Answer is D. (5)
Answer: the solution to the inequality is -3 < x < 4. Graphically, this should be (2)
Step-by-step explanation:Note that x^2 - x - 12 factors to (x - 4)(x + 3) < 0, so we have:
(x - 4)(x + 3) < 0.The only way for (x - 4)(x + 3) to be negative is if x - 4 and x + 3 have opposite signs. This only occurs when:
(i) x - 4 < 0 AND x + 3 > 0
==> x < 4 AND x > -3; both occur when -3 < x < 4.
(ii) x - 4 > 0 and x + 3 < 0, which cannot happen at the same time.