Answer:
2x³ - 6x² - x
Step-by-step explanation:
Divide each term in f(x) by g(x), that is
-
- 
= 2
- 6
- 
= 2x³ - 6x² - x
9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
<u>Answer:</u>
4
<u>Step-by-step explanation:</u>
We are given that a PE class has 12 boys and 8 girls. The teacher needs to divide in maximum number of teams so that each team has an equal number of boys and girls.
For this, we will factors of 12 and 8 and their greatest common factor.
12 = 4 × 3 = 2 × 2 × 3
8 = 4 × 2 = 2 × 2 × 2
The greatest common factor is 4, therefore the maximum number of teams with equal number of boys and girls is 4.
For this case, we perform the conversions:
First roll:


We make a rule of three to determine the number of "c" boxes that can be packed with 300 meters of adhesive tape.
1 -----------> 4.2
c -----------> 300

You can pack 71 boxes.
Second roll:

We make a rule of three to determine the number of "c" boxes that can be packed with 70 meters of adhesive tape.
1 -----------> 4.2
c -----------> 70

You can pack 16 boxes.
Third roll:
1 -----------> 4.2
c -----------> 50

You can pack 11 boxes.
Thus, in total you can pack
Answer:
98 boxes
Answer: -9n+20
This is the same as 20-9n
================================================
Explanation:
The jump from 11 to 2 is "minus 9"
The jump from 2 to -7 is also "minus 9".
Assuming this pattern continues on, we have an arithmetic sequence with
- a = 11 = first term
- d = -9 = common difference
The nth term can be found like so

Let's check the answer by trying n = 3

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.