Hello from MrBillDoesMath!
Answer:
The first choice, y = x^3 + 5
Discussion:
Let
y = (x-5) ^ (1/3)
To find the inverse, sway x and y and then solve for y:
x = ( y - 5 )^(1/3) => cube both sides
x^3 = y - 5 => add 5 to both sides
x^3 + 5 = y
So the inverse is x^3 + 5, which is the first choice
Thank you,
MrB
Answer:
x + (4/ x-2) + (2/ x-1)
Step-by-step explanation:
x + (6x/ x^2 + 2x - x -2)
x + (6x/ (x + 2) X (x - 1))
(6x/ (x + 2) X (x - 1))
(A/ x+2) + (B/ x-1)
(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)
6x = Ax + Bx - A + 2B
6x = (A+B)x + (-A+2b)
{0 = -A+2B
{6 = A+B
(A,B) = (4, 2)
(4/ x+2) + (2/ x-1)
x + (4/ x-2) + (2/ x-1)
Answer:
38 or 38.33 cups of water.
Step-by-step explanation:
You need 5 cups of water for every 3 ounces of medication. We can set up a proportion: #oz of medication/#cups of water= #oz of medication/# cups of water. We can plug in some numbers from the problem.
3/5=23/n. You can use any variable, but I'm using n for how many cups of water Jim will need for 23 ounces of medication.
We can cross multiply: 3*n=5*23.
3n=115
We divide both sides by 3.
n=38.3333333.......
Rounding to the nearest whole number, Jim will need 38 cups of water, or 38.33 cups if you're rounding to the nearest hundredth.
Hope this helps :)
Step-by-step explanation:
4. Mrs. Quanico deposits ₱5,000 at the end of every 6 months in a bank account for her son's education. The account pays 8% interest compounded ...
