Answer: 2 * sqrt(2)
I attached an image to show you what I mean
Step-by-step explanation:
First add 20 on both sides
5x^(2 / 3) = 10
divide both sides by 5
x^(2 / 3) = 2
Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)
So we now cube both sides to get rid of the cube root
x^2 = 2^3
which simplifies to x^2 = 8
We now just find the square root of both sides
so x = sqrt(8)
square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)
So x = 2 * sqrt (2)
First, we will find the value of k
We can do this by sybstituting y=24, x=6 in;
y=kx and then solve for k
24= k(6)
divide both-side of the equation by 6
24/6 = k
4 = k
k=4
Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y
y= (4)(5)
y = 20
Answer:
If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
The answer is the last one
