Answer:
The correct answer is third option
√5/(x²y)
Step-by-step explanation:
It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)
Points to remember
Identities
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)
x⁻ⁿ = x¹/ⁿ
<u>To find the equivalent expression</u>
We have, √(55x⁷y⁶/11x¹¹y⁸)
By using above identity we can write,
√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]
= √[5x⁷⁻¹¹ y⁶⁻⁸]
= √[5x⁻⁴ y⁻²]
= √[5/x⁴y²]
= √5/(x²y)
Therefore the correct answer is third option
√5/(x²y)
Answer:
The amounts of three parts of the investment are 18000, 6000, 5000 respectively.
Step-by-step explanation:
An investment of $29,000 was made by a business club.
Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).
The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 2250.

On simplification we get



..... (1)
The interest from the first investment was 4 times the interest from the second.


.... (2)
From (1) and (2) we get



Divide both sides by 0.06.

Put this value in equation (2).
The amount of third investment is

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.
Y<x+5 because the line intersects at positive 5
Answer:
and 
Step-by-step explanation:
To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is
. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is
. Now, putting those two together for the system of equations, it's easiest to add them. The result will be
which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.
Hope this helped!