ANSWER
EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is
For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.
30 seconds, half a minute.
Answer:
Step-by-step explanation:
Since y = -3 we can plug straight into the other equation
--> -x + 2y = -6
-x + 2(-3) = -6
-x - 6 = -6
-x = 0
x = 0
To graph this draw a horizontal like across the page at y = -3 and a vertical line down the page to represent x = 0
The point where these lines intersect is (0,-3)
So that would be the ordered pair solution.
Let M = marker cost
Let P = pencil cost
3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80
4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90
Multiply the first equation by (-3) and add it to the second equation
-9M - 6P = -5.40
4M + 6P = 2.90
-5M = -2.50
M = 0.50
Plug this value for M into the 1st equation and solve for P
3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15
So a marker costs 50 cents and a pencil costs 15 cents
