20% increase
the percent increase =
× 100%
increase = $12 - $10 = 2$
increase =
× 100% = 20%
Answer:
f(x) = x^3 -2x^2 -3x +7
Step-by-step explanation:
Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...
f(x) = x^3 -2x^2 -3x +7
_____
You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

Or, you can write equations for the coefficients a, b, c, d of ...
ax^3 +bx^2 +cx +d = f(x)
These would be ...
a + b + c + d = 3
8a +4b +2c +d = 1
27a +9b +3c +d = 7
64a +16b +4c +d = 27
Your friendly linear equation solver will tell you ...
(a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above
we know that
The LCD is the LCM (least common multiple) of all the denominators.
we have



So
The LCM of
is
,
which is the multiple of the highest power of prime factors from all of the given numbers
therefore
the answer is

First you must distribute the 2 to the numbers inside the parentheses, which would be 1 and -x...
(2 * 1) + (2 * -x) > 2x
2 + (-2x) > 2x
2 - 2x >2x
Add 2x to both sides (what you do on one side you must do to the other). Since 2x is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
2 - 2x + 2x > 2x + 2x
2 + 0 > 4x
2 > 4x
Next divide 4 to both sides to finish isolating x. Since 4 is being multiplied by x, division (the opposite of multiplication) will cancel 4 out (in this case it will make 4 one) from the right side and bring it over to the left side.
2/4 > 4x / 4
1/2 > x
or
x < 1/2
Hope this helped!
~Just a girl in love with Shawn Mendes