Answer:
1/5^9
Step-by-step explanation:
You keep the 5 the same
Then you subtract the exponents...
-6 - 3 = -9
Since it’s negative and you can’t have a negative exponent you have to put a 1 as the numerator. So...
1/5^9
Answer:
You have one algebraic expression. It can be simplified by adding and subtracting like terms within it.
You have two algebraic expressions and are asked to add or subtract them. After adding or subtracting, you’ll end with one final algebraic expression.
The first thing we must do for this case is to define variables:
We have then:
x: liz's age
y: melinda's age
We now write the system of equations:

By solving the system graphically we have that the age of each one is currently:

Next year, the age of liz is:
Answer:
Next year, Liz's age is 11 years.
Note: see attached image for the graphic solution.
<h3>
Answer: Choice B</h3>
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Explanation:
Here's a slightly more detailed breakdown of what's going on
3x + 2y = 15 ... start with the first equation
3x + 2( y ) = 15 .... the parenthesis don't change the expression
3x + 2( 3x+5) = 15 ... replace y with 3x+5; since y = 3x+5
From here, you solve for x like you would any other single variable equation. Once you know x, you can determine y through y = 3x+5.
Answer:
4
Step-by-step explanation:
log_3 (81)
set equal to x
log_3 (81) = x
saying this out loud is "x equals 3 raised to what power is 81"
notice that it is the same as
3^x = 81
so x equals 4