Answer:
c ln (x^3/y^3)
Step-by-step explanation:
3 ln x - 3 lny
We know that a ln b = ln b^a
ln x^3 - ln y^3
We also know ln a - ln b = ln (a/b)
ln (x^3/y^3)
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:
2(5y – 2) = 12 + 6y
In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:
2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4
In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.
The student first made an error in Step 2, and the correct step is:
Step 2: 10y – 4 = 12 + 6y
I hope this helps!
Answer:
10a+3b÷c/3
Step-by-step explanation:
let the first number be a
second be b
third be c
10×a +3×b ÷c÷3
10a+3b÷c/3
=10a+3b÷c/3
Answer:
13:11
Step-by-step explanation:
325:275
If divided by 5 all through, you get 65:55, then by 5 again you get 13:11
Answer:
-m^2 |n|^3 sqrt(n)
Step-by-step explanation:
-sqrt( m^4n^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
-sqrt(m^4) sqrt(n^7)
The sqrt(m^4) = m^2
The sqrt(n^7) = sqrt(n^6) sqrt(n) = |n|^3 sqrt(n) We take the absolute value because if n is negative, n^6 is postive, but n^3 is negative
-sqrt(m^4) sqrt(n^7)
-m^2 |n|^3 sqrt(n)