Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
Answer:
= 7.5x-8
Step-by-step explanation:
Total cost = cost per yard * yard of fabric - coupon
total cost = 7.5 x - 8
y = 7.5x-8
<span>To find the z-scores, find the difference in the number of inches for each value from the mean and then divide that by the standard deviation. For women at 72 inches (6'), this would be (72-64) / 2.7, or a z-score of +2.963. For a male at 72 inches, this would be (72-69.3)/2.8, or +0.964. This shows that the woman at 6 feet tall is more rare in the distribution than a man at 6 feet tall.</span>
Answer:
335.115
Step-by-step explanation:
First you find the area of the circles to do that you do pi times radius squared
For the top square do 3.14(pi)time 3²=28.26
For the middle square do 3.14 times 4.5²=63.585
For the bottom square do 3.14 times 6²=113.04
Now find the area of the entire thing do 18×12+9+6+3=18×30=540
Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115
So the shaded region is 335.115
Hope this helps and have a great day!
Answer:
Step-by-step explanation:
Let's take a real situation. Suppose he has 1500 books in total
2/3 of them are fiction. Of means multiply.
them = 1500
2/3 * 1500 = 3000/3 = 1000
Now of the one thousand fiction books 4/5 of them are mysteries.
4/5 * 1000 = 4000/5 = 800.
Now let's see what happens when we just do this by answering the question directly.
2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.
Try this on the 1500 books.
8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333
Just to check, does 0.5333333 * 1500 = 800? Try it.