Answer: (x³ - 2x² - 11x + 12)
Step-by-step explanation:
Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:
(x - 1)(x + 3)(x - 4)
Now, if you multiply the first two factors together, you get the following:
(x² + 2x - 3)
Multiply that by the last factor, (x - 4), and you get this:
(x³ + 2x² - 3x - 4x² - 8x + 12)
This can be simplified:
(x³ - 2x² - 11x + 12)
And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)
Answer:
1:0.06
Step-by-step explanation:
since there is a 6% sales tax, which is the same as 0.06. to calculate your tax, you would multiply both of the sides of the ratio by 75, and the left side will show you subtotal of what you are buying, the right will show tax.
Answer:
26
Step-by-step explanation:
A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.
Part 1:
3+2+1 = 6 total units
There is only 1 history book.
1/6 total.
Part 2:
6-1 (we've lost the history book) = 5 total units
3 novels. = 3/5
Part 3:
1/6 * 3/5 = 3/30 or 1/10
Answer:
Step-by-step explanation:
A difference of two perfect cubes, x^3 - y^3 can be factored into
(x-y) • (x^2 +xy +y^2) =0 equation 1
x ^3 - 64 = 0
(x)^3 - (4)^3 = 0 equation 2
Now substituting equation 2 into equation 1, we get
(x-4) (x^2+(x).(4) +(4)^2) = 0
(x-4) (x^2+4x+16) = 0
so the solutions are
1) x - 4 =0
x=4
x^2 + 4x + 16 = 0
By using the quadratic formula we get the followig solutions:
- B ± √ B2-4AC
x = ————————
2A
x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i
x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i
