Answer:
x = 2
Step-by-step explanation:
Those lines will come together and interact at (2 , 5)
9514 1404 393
Answer:
- domain: x ∉ {-4, 3}
- range: y ∉ {1}
- horizontal asymptote: y=1
- vertical asymptote: x=3
Step-by-step explanation:
The expression reduces to ...

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
- the domain is all real numbers except -4 and +3
The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
- the range is all real numbers except 1
As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
- vertical asymptote at x=3; horizontal asymptote at y=1
_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
Answer:
2 4 6 8 10
1 2 3 4 5
Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply 2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.
Answer:
Option a) is correct that is -49.
Step-by-step explanation:
We have been given the two functions in which one of them is dividend and the other one is divisor
when divided by x+2
You can see the long division to find the remainder in the attachment.
First step we do is to choose the quotient so as to cancel the first term
And proceed till you get the degree of divisor less than dividend.
Hence, the remainder we will get is -49
Therefore, option a) is correct.
Answer 9.26
Step-by-step explanation:
5.9/2=2.95x3.14=9.263=9.26