X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60
x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45
<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)
<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900
<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900
<u>12(x^4 - 3x³ - 21x² + 43x + 60) </u>
3(x^4 - 9x³ + 3x² + 145x + 300)
<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60) </u>
</span><span> (x^4 - 9x³ + 3x² + 145x + 300)</span>
That means you are multipliying 10,000,000 by 280,509,031...
Answer:
<h2>We have 47% of chances to win those six bucks.</h2>
Step-by-step explanation:
In this problem we need to find the probabilty of winning thos $6.
According to the problem, we win $6 if we hit one red. We know that there are 18 red compartments, 18 black compartments and 2 neither red nor blakc, for a total of 38 compartments.
We need to use the standard probabilty definition which is the ratio between the number of events and the total number of outcomes. So,

Which is equivalent to 47% of chances.
Therefore, we have 47% of chances to win those six bucks. (The Casino has the odds in their favor)
Ni is not correct. To solve
the equivalent quarterly interest rate, the annual interest rate should be multiplied
by the correct ratio. Since the annual interest rate is 4% per year. So in 1 quarter
is equal to 0.25 year.
<span>(4% / year) (0.25 year/ 1
quarter) = 1% per quarter</span>
Answer:
Step-by-step explanation:
1) Given figure is a parallelogram
Area = 144 cm²
base * altitude = 144
16 * x = 144
x =144/16
x = 9 cm
2)2) Trapezium
Area =
; {a and b are parallel sides of trapezium}
( 37 +27 /2) * x = 480 cm²
64/2 * h = 480
32 * h = 480
h = 480/32
h = 15 cm