The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Step-by-step explanation:
A symptote is a line that a curve approaches but never touches
- The vertical asymptote of a logarithmic function is at the zero of the argument
- f(x) = log(argument) has vertical aymptotes at argument = 0
∵ f(x) = 3 ㏒(x + 3)
∵ The argument is (x + 3)
- Equate the argument by zero
∵ x + 3 = 0
- Subtract 3 from both sides
∴ x = -3
- The vertical asymptote of a logarithmic function is at the zero
of the argument
∴ The vertical asympotote of f(x) is x = -3
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
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Answer:
65
Step-by-step explanation:
Since 39 is equal to 60%, and 60% is also equal to 60/100, then 39/x (x is the total we are solving for) is equal to 60/100.
Cross multiply so 39/x = 60/100
39*100 = 60x
3900 = 60x (divide both sides by 60)
65 = x
They are both the same number.
Answer:
Everyone gets 2/5 of a pizza
Step-by-step explanation:
There are 2 pizzas. We are dividing them by 5 people
2/5
Everyone gets 2/5 of a pizza
Answer:
82.5 feet.
Step-by-step explanation:
Let x represent number of days and y represent height of the plant.
We have been given that Jamie is measuring the growth of a bean plant in her garden. On the first day, the plant is 2.5 inches tall. Point (1,2.5) represent this situation.
On the fourth day, it is 14.5 inches tall. This information can be represented by point (4,14.5).
Let us find slope of the line using given points.




Now, we will point-slope form of equation to find the equation for the height of the plant.




Now, we will substitute
in our equation.



Therefore, the height of Jamie’s plant will be 82.5 feet on the twenty-first day if it continues to grow.