The
first graph.
The equation is x - 1
3
In order to solve it, you need to get x by itself.
Add 1 to both sides. 3+1=4
x
4
Since this is your sign
the arrow has to point towards the left, and the circle needs to be colored in.
Answer:
(x + [1/4])2 + (y - 1)2 = (97/16)
Step-by-step explanation:
(x + [1/4])2 + (y - 1)2 = (97/16)
The answer is 4 and 9, this is because 2*2=4 and 3*3=9, so their square roots are 2 and 3
Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
The given expression is:
From the above equation, we can answer all the 4 questions.
a) Initial value occurs when x = 0
So,
So, the Initial value of the function is 1/2.b) Simplified Base:The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.
So, the simplified base is 9
c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.
So, Domain is Set of All real numbers. In Interval notation this can be expressed as: (-∞,∞)d) Range:Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.
So, Range is equal to All real numbers greater than 0.In Interval notation, this can be expressed as (0,∞)
