Answer:21 divided by 4.25 = 4.941176471
Step-by-step explanation:
To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
Since the problem is 2x^2-5xy-y^3 we first have to plug in what the x and y stands for, once you do that your problem should look like this:
2(-3)^2- 5(-3)(-2)- (-2)^3
Now take the parentheses away and when you do that your signs change.
2x3^2-5x(-3)x(-2)-(-2)^3
do it again with -5x(-3)x(-2)
2x3^2-30-(-2)^3
now do this with (-2)^3
2x3^2-30-(-8)
Now evaluate the power
3^2 becomes 9
2x9-30-(-8)
then change -(-8) to a positive since two negatives make a positive
2x9-30+8
Now multiply the numbers 2x9
18-30+8
Then do 18-30 which equals -12 then add 8
Now you are left with your answer:
<u>-4</u>
Hope this helps! :3
Answer:
1/8
Step-by-step explanation:
There are 3 + 3 + 6 = 12 marbles in the bag and 12 * 12 = 144 ways to choose two marbles when replacing. There are 3 * 6 = 18 ways to choose a red marble and then a blue marble so the probability is 18 / 144 = 1 / 8.
