#9
2 answers:
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Answer:
Step-by-step explanation:
<h3>First let's write our equation</h3><h3 /><h3><em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>
<h3 />We can reduce to
Our equation is now
Now we can cross multiply
<em>Definition - </em><em>given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.</em>
We are adding because we want our variable to be on one side of the equation
Subtract and we get
Which makes it true
<h3><em>Have a good day!</em></h3>
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change