Describe a sequence of transformations that maps ABC to A'B'C'.
1 answer:
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i) The given function is
The domain is all real values except the ones that will make the denominator zero.
The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.
iii) If we equate the numerator to zero, we get;
This implies that;
iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is .
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Answer:
It will take 60 seconds for the signs to light up at the same time again.
Step-by-step explanation:
Given:
One sign lights up every 10 seconds
One sign lights up every 12 seconds
They have just lit up at the same time.
To find in how many seconds will it take for the signs to light up at the same time again.
Solution:
In order to find the time in seconds will it take for the signs to light up at the same time again, we need to find the least common multiple of the the times for which the given signs light up.
The numbers are 10 and 12.
To find the LCM, we will list the multiples of each and check the least common multiple.
The multiples of 10 and 12 are :
thus, we can see that 60 is the least common multiple.
Thus, the signs will light up at the same time time after every 60 seconds.