Question

please help me! stressd out!
Write a system of two equations using x and y in each for the following.
The sum of two numbers is 170 and their difference is 26.
To skate at Roller Heaven, each person must pay a membership fee (m) and a fee for each session (f). Art attended five sessions and paid $25 in all. Later, when he had attended 10 sessions, he paid $40 in all. How much is the membership fee and how much are the sessions.
Write a system of two equations with the variables m and f in each to represent this problem.
To skate at Roller Heaven, each person must pay a membership fee (m)

Answer 1

Simplify this expression: x2*x6What did you learn from that example? When the same variable is multiplied, any exponents are added together. Adding to the exponent is the same as multiplying more times:

Rule 1: (xa)*(xb) = xa+b

There are other rules with exponents as well. If multiply two variables adds their exponents, then division must subtract exponents! Check out this example:



Well, remember that this is just a quick way of writing this:



Hopefully you remember enough basic algebra that you know to cancel a factor that's in the numerator and the denominator. In fact, we can scratch off three of the x's, leaving just the numerator:



So that gives us another rule:

Rule 2:

Let's introduce a few more rules of exponents quickly:

Rule 3: x1 = x

That rules makes sense, because having just one x can't equal anything else but x, right? The next one might make a little less sense, but here it is:

Rule 4: x0 = 1. (ANYTHING to the 0 power = 1).

Here's why this is the case. With exponents, we are always dealing with multiplication. The identity in multiplication is 1. Imagine taking rule 1, and adding in a couple 0's:

(xa)*(xb) = xa+b+0+0

Logically, we shouldn't have changed anything by adding those zeros. Since you can rewrite it as:

xa*xb*x0*x0

In order for that to be the same as xa*xb, the x0 factors must equal 1.



Since x2 really just means x*x, and x6 just means 6 more x's, we end up with 8 x's multiplied together, right? Well what is an exponent -- the number of times we multiply something! Therefore, x2 times x6 equals x8.

Answer 2

so here u go!!!!

Answer 3

this is a EX: for u to still help u !!!! :)