1.45X=0
1.45 1.45
U divide 1.45 in each side 1.45 divided by 1.45 =x
And 1.45 divided by 0 is of course 0 cuz anything divided or
Multiplied by 0 Is always 0
Ur answer is X=1.35
Y=4/3 because if 3 goes to rhs is becomes divided by the number on the rhs so answer is 4/3
85 > x-63
This is how you would arrange the problem,
isolate the X by adding 63 to 85 to get 148,
Flip the inequality to <
resulting in X<148.
Answer: B) one
This one point is point U since it is on line segment CD. In contrast, a point like point E is not on line CD, so E is not collinear with C and D.
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
