Answer:
There are no vertical asympotes for this rational function.
Step-by-step explanation:
For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:
, 
There is a vertical asymptote for this case:
Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.
Answer:
4 1/2
Step-by-step explanation:
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]
Answer:
a) 12x - 48 or 6(2x - 8)
b) 18x - 48 or 6(3x - 8)
Step-by-step explanation:
A small box holds 6 eggs
A large box holds 12 eggs.
Hina buys x small box of eggs
Hina also buys (x-4) large box of eggs
a) Total number of eggs in the large box by Hina = (x-4)12
= 12x - 48
= 6(2x - 8)
b) Total number of eggs bought by Hina = (x) 6 + (x-4)12
= 6x + 12x - 48
= 18x - 48
= 6(3x - 8)
