Answer:
The answer is below
Step-by-step explanation:
Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less then $1000,they 21%, hence:
if x < 1000, c(x) = 0.21x
If the profit is less between $1000 and $1200,they 22.5%, hence:
if 1000 < x < 1200, c(x) = 0.225x
If the profit is greater than $1200,they 23.5%, hence:
if x > 1200, c(x) = 0.235x
Therefore the commission represented as a piecewise function is:

Answer:
x(x+6)(x-4)
Step-by-step explanation:
They all have x in it, which means we can factor out x first.
x(x^2 + 2x -24)
Now we can factor out the inside doing algebra.
Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).
We still have to multiply the x from the beginning, giving us a final equation of
x(x+6)(x-4).
45 = 3×3×5
54 = 2×3×3×3
Two number : 3,3
So, the GCD of 45,54 is 3×3= 9
Answer:
y = 4
Step-by-step explanation:
4*y = 4y
4*4 = 16
4y+16=32
to get 4y alone, we subtract 16 from 32.
32-16 = 16
4y = 16
to get y alone, we divide 4 by 16
16/ 4 = 4
so, y = 4
Answer/Step-by-step explanation:
To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.