9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
The correct answer is -1.
In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.
2 - x < 4
-x < 2
x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.
Now we'll do the negative version.
2 - x > -4
-x > -6
x < 6
So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.
246. (it says my answer is to short but so i have to type useless stuff anyways the answer is 246 lol have a nice day!)
Answer:
see below
Step-by-step explanation:
x ≤ 3
There is a closed circle at 3 because of the equals sign
the lines goes to the left since it is less than
x < 3
There is a open circle at 3 because there is no equals sign
the lines goes to the left since it is less than
Answer:total amount of money that he should pay if he has not used his duty free exemption is $98
Step-by-step explanation:I did this before