Answer:
D
Step-by-step explanation:
x³ = 64/27
Take the cube root of both sides.
x = ∛(64/27)
Distribute the cube root to the numerator and denominator.
x = (∛64)/(∛27)
Take the cube root of the terms.
x = 4/3
Answer:
x=2
Step-by-step explanation:
Solution is attached
You can plug 2 back into the equation to verify :)
Answer:
1 1/2 or 3/2
Step-by-step explanation:
8 1/4 divided by 5 1/2
Convert to improper fraction
33/4 divided by 11/2=66/44
Simplify this to get 1 1/2 or 3/2
To answer this question, we have the start-up costs of $ 52,000
A monthly inflation of $ 0 is assumed
Operating costs are $680
The daily gain is $960
For the Part A.
The inequality that this situation represents

So:

Where d represents the number of days.
For the Part B.
To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.

d> 185.71 days
Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.
2b 2a
----------------- + -----------------
(b+a)^2 (b^2 - a^2)
2b 2a
= ----------------- + -------------------
(b+a)(b+a) (b+a)(b-a)
2b(b - a) + 2a(b + a)
= ------------------------------------
(b+a)(b+a)(b-a)
2b^2 - 2ab + 2ab + 2a^2
= ---------------------------------------
(b+a)(b+a)(b-a)
2b^2 + 2a^2
= ------------------------
(b+a)(b+a)(b-a)
2(b^2 + a^2)
= ------------------------
(b+a)^2 (b-a)
Answer:
Numerator: 2(b^2 + a^2)
Denominator: (b+a)^2 (b-a)