Answer:
-17 z - 6 y - 7 x + -18
Step-by-step explanation:
Simplify the following:
x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20
Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.
Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):
(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in -7 z - 10 z.
-7 z - 10 z = -17 z:
-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in 6 y - 12 y.
6 y - 12 y = -6 y:
-17 z + -6 y + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in x - 8 x.
x - 8 x = -7 x:
-17 z - 6 y + -7 x + (2 - 20)
Hint: | Evaluate 2 - 20.
2 - 20 = -18:
Answer: -17 z - 6 y - 7 x + -18
Answer:
-21
Step-by-step explanation:
because theres two negitives so it makes it a positive
Notice that , and .
Substitute these series into the ODE:
Shift the indices to get each series to include a term.
Remove the first term from both series starting at to get all the series starting on the same index :
The coefficients are given recursively by
Let's see if we can find a pattern to these coefficients.
and so on, suggesting that
which is also consistent with . However,
but we can adjust for this easily:
Now all the terms following resemble an exponential series:
Answer:
x=(11/4y)+ (−15/4)
Step-by-step explanation:
Answer:
25
2:3
Step-by-step explanation:
2/5 were sold out
5/5 - 2/5 = 3/5
That means 3/5 were not sold out
p = performances
there were 15 that were not sold out
3/5 * p = 15
Multiply each side by 5/3
5/3 *3/5 p = 15*5/3
p = 25
There were 25 performances
sold out to not sold out
2/5 : 3/5
Multiply by 5
2: 3