Answer:
vertical asymptote at x = 7
horizontal asymptote at y = 6
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.
solve:
x
−
7
=
0
⇒
x
=
7 is the asymptote
Horizontal asymptotes occur as
lim
,f(x)→
c(a constant)
x
→
±
∞
divide terms on numerator/denominator by x
f
(
x
)
=
5/
x
+6=
5
/x
+
6
x/
x
−
7
/x 1
−
7/
x
as
x
±
∞
,
f
(
x
)
→
0
+6
1
−
0
⇒
y
=
6 is the asymptote
graph{((5)/(x-7))+6 [-20, 20, -10, 10]}
He isn’t correct because both 0.4 and 0.400 is the equivalent number
Complete question :
At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Answer:
9x + 12y < 120
Step-by-step explanation:
Given that:
Time taken for oil change = 9 minutes
Time taken for tire change = 12 minutes
x = number of oil changes ; y = number of tire changes
Total hours = 1 hour = 60 minutes
Number of oil and Tyre changes possible in less than an hour
(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes
9x + 12y < 120
2 x 6.25
is equal to 12.5 in multiplication
Step-by-step explanation:
The answer: -1/2
2-3/4-2= -1/2
