Answer:
x=-6
Step-by-step explanation:
7x-9x=6+6
-2x=12
x=-6
The radius of the table top is 206 when rounded to the nearest centimeters
Using the asymptote concept, we have that:
- The vertical asymptote is x = 9.
- The horizontal asymptote is y = 3.
- The end behavior is that as
.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:
For the vertical asymptote, we have that:
x - 9 = 0 -> x = 9.
For the horizontal asymptote:
Hence, the end behavior is that as .
More can be learned about asymptotes at brainly.com/question/16948935
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Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
Step-by-step explanation:
I cannot use the line tool for you, but I can rewrite the equations
y = -x + 4 is good enough
Two points for this graph:
x = 0 -> y = 4 gives the point (0, 4)
x = 1 -> y = 3 gives the point (1, 3)
18x + 6y = -6
6y = -18x - 6
y = -3x - 2
Two ponts for this graph:
x = 0 -> y = -2 gives the point (0, -2)
x = 1 -> y = -5 gives the point (1, -5 )
