Given:
Consider the given expression is:

To find:
The simplified form of the given expression.
Solution:
We have,

By using the quotient property of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)


By using negative exponent property, we get
![\left[\because a^{-n}=\dfrac{1}{a^n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5Cright%5D)
The simplified form of the given expression is
.
Therefore, the correct option is B.
Hey there!
Looking at the graph, we can see that the lengths of the two bases are 6 and 3. We can also see that the height is 6 as well.
The formula for the area of a trapezoid is shown below.
A=0.5h(a+b)
In the equation, h represents the height and a and b represent the two bases.
Let's plug our values into the equation.
A=0.5(6)(6+3)
A=3(9)
A=27
Therefore, our answers are below.
Bases: 3 and 6
Height: 6
Area: 27 square units
I hope this helps!
Answer:
9, 24
Step-by-step explanation:
Given;
Mean= 3
Variance =2
Lets make m, the number of grandchildren of a generation of a certain person. This will make our question to be considerably related to the second generation offspring.
Hence n= 2.
Please kindly go to attachment for detailed step by step solution.
<h3>
Answer: x(x+1)(5x+9) </h3>
===================================================
Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.