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.
Number 6. 12 1/2 pt
Number 7. 7 qt
Number 8. 4 pt
Number 9. 2 pt 1 c
Number 10. 6 pt
23% is maybe the percentage but if not then it maybe a little higher or lower
Answer:
33
Step-by-step explanation:
44 - 25% off is 33
<span>8/5 = 1.6 bag per minute
8 bags of skittles in 5 minutes
? 10 minutes
8 x 10 / 5
= 80 /5
= 16
answer
</span>1.6 bag per minute
<span>and
16 bags in 10 minutes</span>
