Answer: 4.3478 or 100/23
Step-by-step explanation:
Set the y values equal to each other since they are the same unknown (x). You end up with 100=23x, solve for x. Move the 23 over to the other side by using division. x=100/23. If you need it in decimal form, 100÷23=4.347826087
Answer:
see below
Step-by-step explanation:
Choose a couple of values for x. Figure out the corresponding values for y. Plot those points and draw a line through them.
Let's choose x=0 and x=4. Then the corresponding y-values are ...
y = 2·0 = 0 . . . . . point (x, y) = (0, 0)
y = 2·4 = 8 . . . . . point (x, y) = (4, 8)
These are graphed below.
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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See attached PDF. (The censor thinks there are some unseemly words in there.)
For the first 3 you just have to divide (forget about the square root for now) and then reduce its result by finding two numbers (one of them have to be able to be squared rotted) that multiplied gives the fist result. Then you just have to square root one of the numbers and leave the other one as it is.
For the last 4; you cannot have radicals in the denominator, so you have to multiply both top and bottom by the square root, after that you just reduce.
Hope you understand, if you have any questions please let me know.