Quadratic formulat is used when
a^2+bx+c=0
x=
4m^2+3m-1=0
a=4
b=3
c=-1
input
x=
x=
x=
x=
x=
or
x=-1 or 1/4
Sin = opposite/hypotenuse
so sin (x) = 12/13
answer is 12/13
Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
<h3>
Answer: 20% discount</h3>
Work Shown:
amount saved = 84-67.20 = 16.80 dollars
Divide this over the original larger price to get 16.80/84 = 0.20 = 20%
Note how 20% of 84 = 0.20*84 = 16.80 to help check the answer.
Or we can say 0.80*84 = 67.20 which also helps confirm the answer.
The 0.80 is from the fact that you save 20% but still have to pay the remaining 80%
