Answer: 1
Step-by-step explanation: 1. 4x4=16 4x4x4= -64x16= -1024
 
        
             
        
        
        
A) (1, 7) Doesn't
 B) (0, 4) Doesn't
 C) (2, –2) Doesn't
 D) (3, –5) DOES
All the steps are right at the exception of line 7 (and onwards)
line 6 : 6x = 42 (it's right). Now divide both sides by 6:
line 7 should be:  6x/6 = 42/6
line 8 should be: x = 7. 
        
                    
             
        
        
        
Answer:
(7, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = 2y + 5
x/3 - y = 4/3
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute:                              (2y + 5)/3 - y = 4/3
- Multiply 3 on both sides:       2y + 5 - 3y = 4
- Combine like terms:               -y + 5 = 4
- Isolate <em>y</em> term:                         -y = -1
- Isolate <em>y</em>:                                  y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define:                    x = 2y + 5
- Substitute:              x = 2(1) + 5
- Multiply:                  x = 2 + 5
- Add:                        x = 7
And we have our final answer!
 
        
                    
             
        
        
        
-- The difference of 2 logs is the log of the quotient of their arguments.
             log(11) - log(6) = log(11/6)
-- 1/3 of the log of something is the log of its cube root.
 
                     1/3 log(8) = log(∛8) = log(2)
and
                     1/3 log(729) = log(∛729) = log(9)
-- If a bunch of logs all have the same base, then their sum 
is the log of the product of the arguments.  So ...
         log(11) - log(6) + 1/3 log(8) + 1/3 log(729)  =
         log(11/6 times 2 times 9)  =
         log( 11*18 / 6 )  =  <em>log(33)</em>
                                      log(33) = about <em>1.519</em> (rounded)
============================================
The other way:
log(11) =                  1.0414
-log(6) =                  -0.7782
log(8) = 0.9031
       1/3(0.9031) =     0.3010
log(729) = 2.8627
           1/3(2.8627) = 0.9542
                              ----------- 
Adum up:                 <em>1.5184</em>
(Note:  Everything is rounded.)
        
             
        
        
        
Answer:
 A
Step-by-step explanation:
