Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
Answer: 8n-5
Step-by-step explanation:
Answer:
y+a+x=b
Step-by-step explanation:
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The linear speed of one of the cars is 7.75 feet per second
The cars (seats) of a Ferris wheel are positioned 74 feet from its center.
The radius, r = 74 feet
The Ferris wheel makes 4 revolutions every 4 minutes
Number of revolutions per minute = 1
Angular speed, w = 1 rev/min
Angular speed, w = 0.10472 rad/sec
The relationship between the linear speed (v), and the angular speed (w) is:
v = wr
Substitute w = 0.10472 and r = 74 feet into the formula:
v = 0.10472 x 74
v = 7.75 feet per second
The linear speed of one of the cars is 7.75 feet per second
Learn more on linear speed here: brainly.com/question/4357151