Answer:
Step-by-step explanation:
Given
Required
Determine the height
The volume is calculated as:
Since, it has a triangular cross-section, the expression becomes:
So, we have:
Find the domain for the rational function f(x)=x-1/x+3
1 answer:
Answer:
x≠-3 or x<-3 and -3<x or (∞,-3) and (-3,∞)
Step-by-step explanation:
If the expression you have given is then the domain is x≠-3
This is because in a function that is a fraction the denominator can never equal 0, otherwise you are dividing by 0 which is undefined.
Here the denominator is x+3 and so to find the undefined value of x:
Set x+3 equal to 0:
x+3=0
Subtract 3:
⇒ x=-3
That value is undefined since it results in the division of 0 which also means that it is not in the domain.
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Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
---->
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
