Answer:
Here.....
Step-by-step explanation:
Find the like terms
3t and 5t are like terms
as well as
7 and 9
Take 3t and 5t and add them: 8t
then do the same to 7 and 9: 16
making the answer (8t+16)
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Answer:
1. 
2. 
Step-by-step explanation:
The equation of the ellipse is

or

1. If the vertex of the ellipse is at point (0,2), then b=2.
If the co-vertex of the elllipse is at point (-1,0), then a=1.
The equation of the ellipse is


This ellipse has foci on y-axis.
2. If the vertex of the ellipse is at point (-11,0), then a=11.
If the co-vertex of the elllipse is at point (0,10), then b=10.
The equation of the ellipse is


Answer:
D, the horizontal line is a function
Step-by-step explanation:
To pass the vertical line test, a vertical line cannot go through the function more than once
A is a vertical line so it will fail the vertical line test
B will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
C will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
D is a horizontal line. This will pass the vertical line test
The ____ is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.
When largest exponent of the polynomial is even and leading coefficient is positive , then left hand and right hand ends of the graph goes up
When largest exponent of the polynomial is even and leading coefficient is negative , then left hand and right hand ends of the graph goes down
When largest exponent of the polynomial is odd and leading coefficient is positive , then left hand graph goes down and right hand ends of the graph goes up
When largest exponent of the polynomial is odd and leading coefficient is negative , then left hand graph goes up and right hand ends of the graph goes down
Hence, Leading coefficient test is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.