9514 1404 393
Answer:
(64x^28)/(5y^22)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
First, eliminate the outside exponent on the left factor. Then use the above rules to combine factors with the same base.

The required equation is:

Step-by-step explanation:
Given
Let a be Anne's Age
and
b be Betty's age
Now we will onvert the given word problem in the form of equation step by step
"twice Betty's age." will be represented by 
Then
"3 years younger than twice Betty's age." will be represented as: 
Now
"Betty's sister, Anne, is 3 years younger than twice Betty's age."

Hence,
The required equation is:

Keywords: Word problems, linear equation in two variables
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Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
After some algebraic handling we find this equivalent expression:
(1)
The polynomial is factorized by the Quadratic Formula:

Since all roots are complex, we conclude that Natalie cannot make it over the fence.
I think it would be easiest to solve for x in this system of equations if you did so by elimination:
Start by finding the least common multiple of 3 and 2 to make the Ys cancel:
4x-6y=-54
-9x+6y=69
_________
-5x=15
x=-3 - answer B
Answer:
-1
Step-by-step explanation:
1/3 - 2/5 = x/15
Make denominators equal.
5/15 - 6/15 = x/15
Cancel the denominators.
5 - 6 = x
-1 = x