The quotient of a number, divided by 3, equals-8
1 answer:
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Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)
When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number: 
. in our rational number the denominator is 1, and the numerator is 3
Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation:
. In this case, the numerator is 4, and the denominator is 
.
We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>.
Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation:
We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>