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:
A.
Step-by-step explanation:
5x8 enlarged to 10x16
10 is 5x2 and 16 is 8x2
9514 1404 393
Answer:
$44.49
Step-by-step explanation:
The total cost before tax will be ...
$49.96 +49.96 + 0.50(49.96) = $124.90
With tax added, the cost is ...
$124.90 × 1.071 = $133.77
Then the average cost per shirt for the 3 shirts is ...
$133.77/3 = $44.59
The mean cost of a shirt is $44.59.
Answer:
where is the graph if you can put it i will give you the answer
Step-by-step explanation:
Answer:
D - All rational numbers are integers.
Step-by-step explanation:
This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.
