Answer:
-23
Step-by-step explanation:
As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:
1 - 2·12 = -23 . . . the y-intercept
Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
Answer:
The simplified form of the given expression is 
Step-by-step explanation:
Here, the given expression is:
Now to simplify the given expression, perform operations on LIKE TERMS:
We get:
![-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y](https://tex.z-dn.net/?f=-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%20%3D%28%20-3%20%20-%204%29%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20y-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5D%5C%5C%3D%20-%207%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20-%28%5Cfrac%7B1%7D%7B3%7D%29%5Dy%20%20%3D%20-7%20%2B%20%5B%5Cfrac%7B2-1%7D%7B3%7D%5Dy%5C%5C%20%3D%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5C%5C%20%5Cimplies%20-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%3D%20%20%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y)
Hence the simplified form of the given expression is
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
Answer:
9
Step-by-step explanation:
you can always use guess-and-check:
124 seems rather high
(6)P(2) = 6!/4! = 6x5 ≠ 72
(9)P(2) = 9!/7! = 9x8 = 72
