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:
942m^3
Step-by-step explanation:
Given data
Radius of cone= 5m
Height= 12 m
We know that volume of a cone is given as
V= πr^2h
V= 3.14*5^2*12
V= 3.14*25*12
V= 942 m^3
Hence the volume is 942m^3
Here is your answer > >
Width of rectangle =15 inches
Length of rectangle =?
Diagonal of rectangle = 25 inches
We know that
(Diagonal of rectagle)^2=length^2+breadth^2
(25)^2=l^2+(15)^2
625=l^2+225
l^2=625-225
l^2=400
l=Root 400
l=20 inches
Hope it helps!
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Bebrainly
Answer:
p = -0.05m + 22
Step-by-step explanation:
As given in question,
The relation between the price and demand can be given by,
where is p is price and x is demand.
Since in order to sell 300 cards the price has to be fix at $7.
So,
7 = 300m+b <u> </u> (1)
And for every additional card they need to drop the price by $0.05.
So,
7-0.05 = 301m+b
=>6.95 = 301m + b<u> </u> (2)
Subtracting equation (1) from equation (2), we will have
6.95 - 7 = 301m - 300m
=>m = -0.05
By putting the value of m in equation (1), we get
7 = 300.(-0.05)+b
=> b = 22
So, the linear equation that show the relation between price and demand is given by
p = -0.05m + 22
Answer:
the answer is 8x+40
Step-by-step explanation:
