Answer
-11/3>x>7/3
Step-by-step explanation:
|3*7/3+2|=9
|7+2|=9
|9|=9
9=9
therefore, x must be > 7/3
|3*-11/3+2|=9
|-11+2|=9
|-9|=9
9=9
therefore, x must be < -11/3
1 ) log ( 16 ) 4 = 1/2
Answer: B ) 1/2
2 ) 125 ^( 9 x - 2 ) = 150
9 x - 2 = log ( 125 ) 150
9 x - 2 = 1.038
9 x = 1.038 + 2
9 x = 3.038
x = 3.038 : 9
x = 0.3375
Answer: C ) 0.3375
3 ) log ( 3 x + 2 ) = 3
3 x + 2 = 10^3
3 x + 2 = 1000
3 x = 1000 - 2
3 x = 998
x = 998 / 3
Answer: B ) 998 / 3
Answers:
A)
C)
Step-by-step explanation:
<u>Part 1:</u>
We have the followig equation:

Calculating the least common multiple (l.c.m) in the denominator in the left side of the equation, being l.c.m=15:

Solving for the left part of the equation:

Operating with cross product:

Applying the distributive property:

Isolating
:

Dividing numerator and denominator by 11:
Hence, the correct option is A
<u>Part 2:</u>
We have the followig equation:

Operating with cross product:

Isolating
:
Hence, the correct option is C
Answer:
11
Step-by-step explanation:
You don't need the parenthesis, so you get:
2 5/8 + 4 8/17 + 9/17 + 3 3/8
You combine the integer values and get:
9 + 5/8 + 8/17 + 9/17 + 3/8
You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:
9 + 8/8 + 17/17
You simplify:
9 + 1 + 1 =
11