Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute 
in (i).
Putting 
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute 
in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute 
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting 
in (iv), we get
Putting 
in (ii), we get
Therefore, the required quadratic equation is .
3 inch by 5 inch
A = L * W.....A = 3 * 5....A = 15 inches^2
if it is enlarged by a scale factor of 2...
3 x 2 = 6
5 x 2 = 10
Area = L * W......A = 6 * 10...A = 60 inches^2
if reduces by a scale factor of 1/2..
3 x 1/2 = 3/2 = 1.5
5 x 1/2 = 5/2 = 2.5
A = L * W....A = 1.5 * 2/5....A = 3.75 inches^2
Answer: 
Step-by-step explanation:
By definition, the perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
If you solve for "l":
In this case, you know that the following expression represents the perimeter of the rectangle:
And the width of that rectanle is represented wih this expression:
Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:
Finally, simplifying the expression, you get:
Greater than or equal to 8
Answer:
yes this graph is proportional
Step-by-step explanation:
