So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
Answer:
B/2
Step-by-step explanation:
Jeez better not get this wrong... anyway, to start off the total is 19 books. Adding 5 then adding 3, She returned 8 books to the 19 she checked out. Uhhhh no clear answer.
NOT the first one cause 8 isn't the total. Don't think it would be the last one cause that's no fun. So it's either the second or the third one. The third one also makes no sense cause it only includes the returns from yesterday. I'm going with the second one
Answer:
Step-by-step explanation:
step 1
Convert mixed number to an improper fraction
step 2
Using proportion
step 3
Convert to mixed number
