let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
Answer:
-7 = m
Step-by-step explanation:
5m − 7 = 6m
Subtract 5m from each side
5m-5m − 7 = 6m-5m
-7 = m
Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
The answer is 4 because the square root of 4 is -2, and that multiplied by 2 is -4
Answer:
Every gallon costs $4.20
Step-by-step explanation:
If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)
