What is the solution to the linear system of equations?
1 answer:
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Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
<u><em>4=q</em></u>
Then the function f (x) is:
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
Solving:
4*(-4)= p+8
-16= p+8
-16 - 8= p
<u><em>-24= p</em></u>
<u><em>The value of q and p is 4 and -24 respectively.</em></u>
Answer: First Option (2,-7)
Step-by-step explanation:
We have a system of equations formed by the following equations:
To answer this question we must solve the system of equations. There are several ways to solve it. The easiest way to solve it for this case is to multiply the second equation by -1 and then add it to the first equation.
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Now substitute x = 2 in any of the system equations and solve for y.
Therefore the solution of the system is the point: (2, -7)