Answer:
x = -4
Step-by-step explanation:
To make this easier to explain and easier to solve, we're going to first multiply the second equation of 9x-7y=-15 by -1 to make the y coefficient positive.
This results in -9x+7y=15.
When we line up the two equations on top of each other now, we'll see that both the first and second equations have opposite y coefficients, which is vital for elimination.
The next step is to add the second equation to the first one. Teachers may tell you to subtract, but I find it easier to add if you make the two y coefficients of negative value to each other.
4x-7y=5
+ -9x+7y=15
___________
-5x+0y=20, or just -5x=20, because you have successfully eliminated the y variable.
From there, you're going to solve like a normal equation (divide both sides by -5) toget you x=-4.
Answer:
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Explanation:
Determining the <em>domain</em> of the function P(x) = 2x + 8 is very trivial and does not require the uses of separate intervals.
The domain of a function is the set of input values (x) for which the function is defined. Thus, the domain of P(x) = 2x + 8 is all the real number, which in interval notaion is:
The symbol ∞ is used to indicate that there is not limit for the value of x: it can goe from any negative number to any positive number).
For didactic purposes let's determine the domain of the function
P(x) = 2/(x+8).
In this case, the function is not defined when the denominator equals 0.
Then, the domain excludes the values for which x + 8 = 0.
Then, the solution is all the real numbers different to - 8.
In <em>interval notation</em> it is:
In form of <em>inequaliy</em> that is:
That means, all the real numbers less than - 8 and all the real numbers greater than 8.
The answer is 3 (or 3.08)
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