Answer:
x=5
Step-by-step explanation:
If ABCD is a parallelogram, then AB = CD
AB=CD
6x-10 = 3x+5
Subtract 3x from each side
6x-3x -10 = 3x-3x+5
3x-10 = 5
Add 10 to each side
3x-10+10 = 5+10
3x = 15
Divide by 3 on each side
3x/3 =15/3
x=5
Monday: 9 times 4= 36 dollars
36 times 5 equals 180. So the team earned 180 dollars altogether on Monday and Tuesday
<span>f(x) = -6x +6
to find inverse
x = -6y + 6
6y = 6 - x
y = 1 - x/6
Answer
</span>f^–1(x)= 1 - x/6
Answer:
See the explanation below.
Step-by-step explanation:
Starting from 
By putting 
we have:
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?
