Hope attachment helps (✿^‿^)
Answer:
3
x
y
2
Step-by-step explanation:
Answer: 2x
^4
+7x−4x
^2
−4
Step-by-step explanation:
2x
^4
−x*3−4x
^2
+10x−4
2x
^4
−3x−4x
^2
+10x−4
2x
^4
+(−3x+10x)−4x
^2
−4
2x
^4
+7x−4x
^2
−4
<h3>
Answer: 864</h3>
=======================================================
Work Shown:
There are,
- 3 sizes of coffee
- 4 types of coffee
- 2 choices for cream (you pick it or you leave it out)
- 2 choices for sugar (same idea as the cream)
This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.
There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.
Multiply the values of A and B to get the final answer
A*B = 48*18 = 864
There are 864 ways to order a coffee and bagel at this restaurant.
--------------
If you're curious why you multiply the values out, consider this smaller example.
Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).
This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.
Hello from MrBillDoesMath!
Answer:
8 (3w^2 - 2)
Discussion:
The greatest common factor is 8, so
24w^2 - 16 = 8 (3w^2 - 2)
Thank you,
MrB
