8 Colors
If you make it an improper fraction it becomes 16/3 and 2/3, so now you can do 16/2, giving you 8 colors
3y - 1 = 28
+ 1 + 1
----------------
3y = 29
---- ----
3 3
y= 9.66
"Completing the square" is the process used to derive the quadratic formula for the general quadratic ax^2+bx+c=0. Suppose you did not know the value of a,b, or c of the quadratic...
ax^2+bx+c=0 You need a leading coefficient of one for the process to work, so you divide the whole equation by a
x^2+bx/a+c/a=0 now you move the constant to the other side of the equation
x^2+bx/a=-c/a now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...
x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a now the left side is a perfect square...
(x+b/(2a))^2=(b^2-4ac)/(4a^2) now take the square root of both sides
x+b/(2a)=±√(b^2-4ac)/(2a) now subtract b/(2a) from both sides
x=(-b±√(b^2-4ac))/(2a)
It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
Answer:
f(x)=-|x|
Step-by-step explanation:
We have been given a graph of f(x) which resembles with the graph of function g(x) where g(x)=|x|.
It says that graph is flipped over the x-axis.
Now we have to find about which of the following choice correctly describes the given graph.
We know that |x| means absolute value of x so that means g(x)=|x| is absolute function in shape of V.
We know that flipping over x-axis can be done by changing f(x) into -f(x).
<u>Hence correct answer is choice D) F(x)=-|x|</u>
