Answer: $756
Step-by-step explanation:
convert feet to yards
1 yard = 3 feet
27 ft = 9 yards
18 ft = 6 yards
carpet represents area
area = length x width
area = 9 x 6
area = 54 yards^2
$14 for 54 yards^2 = 14 x 54
14 x 54 = 756
$756
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")
1║2 -7 -13 63 -45
║ 2 -5 -18 45
2 -5 -18 45 0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.
Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")
3║2 -5 -18 45
║ 6 3 -45
2 1 -15 0
Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.
Final Answer: (x-1)(x-3)(x+3)(2x-5)
Answer:
This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?
There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.
Hope this helps!
Answer:
X - Y = 3.0062,
X -Y = 69.973
Step-by-step explanation:
Given equation is
-1.7043x² + 124.38x - 358.51 = y
This equation can be written as
x² - 72.98x + 210.35
Or, x² - 69.973x - 3.0062x + 210.35
Or, x(x - 69.973) - 3.0062(x - 69.973)
So, (x - 69.973) (x - 3.0062)
Now this two factors are equal to y
∴ x - 69.973 = y and x - 3.0062 = y
Hence X - Y = 69.973 and X - Y = 3.0062 Answer