Allison didn't drive at constant rate.
Step-by-step explanation:
We need to identify if time and distance have proportional relationship
A relationship is proportional if y/x = k
If x = time and y = distance and y/x is equal to constant then they have proportional relationship.
if x= 1, y=65 then k is:
y/x = 65/1 = 65
if x=2, y =120 then k is:
y/x = 120/2 = 60
if x=3,y=195 then k is:
y/x = 195/3 = 65
if x=4,y=220 then k is:
y/x = 220/4 = 55
if x=5,y=300 then k is:
y/x = 300/5 = 60
Since, y/x ≠ k i.e the ratio of y and x doesn't equal to the constant rate, so time and distance doesn't have proportional relationship.
So, Allison didn't drive at constant rate.
Keywords: Proportional Relationship
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Answer:
8/21
Step-by-step explanation:
Answer: 24
Step-by-step explanation:
1. Number Them
Elf and Dwarf = 1
Hobbit = 2
Wizard = 3
Man = 4
* Elf and Dwarf are put together so that they are always sitting together
2. Multiply
1 x 2 x 3 x 4 = 24
Answer:
a) The domain of f(x) is .
b)
The inverse function is:
So we need
Applying ln to both sides
So the domain of f(x) is .
(b) Find F −1 and its domain.
is the inverse function of f.
How do we find the inverse function?
To find the inverse equation, we change y with x to form the new equation, and then we isolate y in the new equation. So:
Original equation:
f(x) = y = \ln{e^{x} - 3}
New equation
Here, we apply the exponential to both sides:
Applying ln to both sides
The inverse function is:
The domain is
is always a positive number, so it is always going to be larger than -3 no matter the value of x. So the domain are all the real values.
Answer:
.11
Step-by-step explanation: