Answer:
Step-by-step explanation:
-6x + 3y = -7
to find the x intercept, sub in 0 for y and solve for x
-6x + 3y = -7
-6x + 3(0) = -7
-6x = -7
x = 7/6 <=== ur x intercept is (7/6,0)
to find the y intercept, sub in 0 for x and solve for y
-6x + 3y = -7
-6(0) + 3y = -7
3y = -7
y = -7/3 <=== ur y intercept is (0,-7/3)
To find the volume of the following Firewood, we would do this:
4 * 4 * 8 = 128 cubic feet
Therefore, the volume of the firewood is 128 cubic feet.
Make sure to mark as brainiest.
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?
3(3x - 2)
Distribute (multiply) 2 inside the parentheses.
3 * 3x and 3 * -2
9x - 6
