Four friends are out for a walk at night and come to an old bridge. it isn’t safe to cross the bridge without a flashlight, and
1 answer:
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Answer: Any real number x as long as and
In other words, anything but 0 or -2/3 is valid.
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Explanation:
Set the denominator equal to zero and solve for x
2(3x^2 + 2x) = 0
3x^2 + 2x = 0
x(3x + 2) = 0
x = 0 or 3x+2 = 0 .... zero product property
x = 0 or 3x = -2
x = 0 or x = -2/3
If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x) will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.
Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble = 12.3 gm
Velocity of before collision
= 15.5 cm/s
Velocity of after collision
= 77.5 cm/s
Marble 2:
Mass of the marble = 24.6 gm
Velocity of before collision
= 62 cm/s
Velocity of after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒
⇒
⇒ Plugging the values.
⇒
⇒
⇒
⇒ ...subtracting both sides 953.25
⇒
⇒ ...dividing both sides with 24.6
⇒
⇒ cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.