
- How do you simplify this?
- x²y+xy² / y²+2/5 × xy


Factor the expressions that are not already factored.
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<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>
<u>NUMERATOR</u> 

Factor out xy.

<u>DENOMINATOR</u> 

Factor out 1/5.

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Continuing...

Cancel out y in both the numerator and denominator.

Expand the expression.

This can further simplified to as 

Step-by-step explanation:
c >= 2
that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.
c < 2
that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.
c < 3
that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.
3 < c
that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.
-8 < c
that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.
To round this we have to go to the thousands place since the thousands place in this question is 8 its closer to 10 so the answer is 10k or 10,000
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}