A relation that is symmetric with respect to the x-axis CANNOT be a function,
2 answers:
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Start by writing the system down, I will use to represent
Substitute the fact that into the first equation to get,
Simplify into a quadratic form (),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be .
Clearly for small coefficients like ours , this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as and
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are and
.
Hope this helps :)
<h2>Hello!</h2>
The answer is:
The fabric will cost $4.58
D.$4.58
<h2>Why?</h2>Since it's a conversion exercise, we need to pay special attention to the conversion procedure.
From the statement we know that:
So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.
We have that:
Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:
Hence, we have that the cost of the fabric will be $4.58.
The correct option is: D.$4.58
Have a nice day!