The seventh term of the sequence is
-1
—
25
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
I can give you the equations for the graph. First one would be y = 0.90x + 25 (25 being the y intercept) and the other one would simply be y = 1.35. If you have a graphing calculator like me you can use it when modeling the graph. Hopefully this helps!
The graph would be a compressed inside down U shape
(-7,45) (-6,48) (-5,49) (-4,48) (-3,45)
Alright, lets get started.
Suppose first mechanic charges= x
So, second mechanic charges will be =
(because total of their rates was 125)
first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225
Means



Adding 10 x in both sides

Subtracting 1225 from both sides

Dividing 10 in both sides

x = 65
For second mecahnics rate = 125 - 65 = 60
Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer
Hope it will help :)