So,
First, we find the prime factored form (P.F.F.) of 65 and 91.
P.F.F. of 65: 5 * 13
P.F.F. of 91: 7 * 13
Find the common numbers
13
13 = G.C.F.
Note: This method works for finding any G.C.F. (find common primes)
Answer:
- y= -12
- x = 7
- q = -1
- x = 24
Step-by-step explanation:
1. ..............................................
- 6(y + 7) = 2(y - 3)
- 6y + 42 = 2y - 6
- 6y - 2y = -6 - 42
- 4y = -48
- y = -12
2...............................................
- 3x + 2(x - 5) = 25
- 3x + 2x - 10 = 25
- 5x = 25 + 10
- 5x = 35
- x = 7
3 . ..............................................
- 10q + 3q + 5 = 2(q - 3)
- 13q + 5 = 2q - 6
- 13q - 2q = -6 - 5
- 11q = -11
- q = -1
4. ..............................................
- 1/3(x + 6) = 2/3(x - 9)
- 3*1/3(x+6) = 3*2/3(x - 9)
- x + 6 = 2(x - 9)
- x + 6 = 2x - 18
- 2x - x = 6 + 18
- x = 24
Answer:
No
Step-by-step explanation:
10/18 does not equal 45/18
An example of a proportional number is:
4/5 and 8/10
Both numbers are multiplied by 2 making them proportional
10/18 and 45/18 are not proportional
Hope this helped :)
You have troubles with domains only if you have:
- Denominators
- Roots with an even degree
- Logarithms
In this case, you have neither of these three, so you can compute your function wherever you want. The domain is all real numbers.
It would take 10.7 years.
The formula for continuously compounded interest is:

where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:

Divide both sides by P:

Take the natural log, ln, of each side to "undo" e:

Divide both sides by 0.065: