Answer:
B. 22
Step-by-step explanation:
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Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
The system of equations has infinitely many solutions
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x + 3y = 12 ------- eqn 1
y = x + 4 --------- eqn 2
We have to find the solution to the system of equations
We can use substitution method
Substitute eqn 2 in eqn 1
-3x + 3(x + 4) = 12
-3x + 3x + 12 = 12
-3x + 12 = -3x + 12
If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions
Thus the system of equations has infinitely many solutions
Four terms are used when grouping to factor.
