Answer:
You can make 6 batches of cookies.
Step-by-step explanation:
3/4 + 3/4 = 1 1/2 (2)
1 1/2 + 1 1/2 = 3 (4)
3 + 1 1/2 = 4 1/2 (6)
No of substes is given by 2^n where n is the no of elements.
Here, n = 3
Therefore, number of subsets = 2^3 = 8
Answer:
I would say a millions dollars!
Step-by-step explanation:
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Answer:
x = 8.2
Step-by-step explanation:
