Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).



Divide both sides by -4.


Putting
in (i), we get




Therefore, the correct option is B.
Answer:
I think you forgot to add the diagram. Add a picture and I will be able to help
Step-by-step explanation:
When you find the area, you want to break it up into different parts. Therefore, one part would be a square and the other part can be a trapezoid. Start out with finding the area of a square by multiplying 6 and 6. This will get you 36. Then, subtract 6 from 21. This will get you, 15. Then use the area of a trapezoid formula, which is A=(a+b)/2 times H. The H is the heigh, the a and b are the top and bottom bases. So if you plug it into the equation, (7+15)/2 then multiply that by 6 ( which is the height). this will get you 66. If you add 66+36, it equals 102 which is the area
Step-by-step explanation:
Area of circle

r = radius of the circle
What you have to do to be able to find the answer is $672 divided be $12. That should give you how many cars the soccer team washed.