<u>Answer</u>
√7 × √5
√3 × √2
<u>Explanation</u>
√9*√16   = 3 × 4 
               = 12
              = 12/1      ⇒ It is a rational answer.
√7*√5  = √(7×5)
             = √35
            = 5.916079783.... ⇒ Irrational
√3*√2  = √(3×2)
            = √6
             = 2.449489743...  ⇒  Irrational
4√2*√2 = 4 × √(2×2)
               = 4 × √4
               = 4 × 2
               = 8
               = 8/1   ⇒  It is rational
The expressions that would give irrational answers are: √7*√5  and√3*√2
 
        
             
        
        
        
7(x - 3) + 3(4 - x) = -8
7x - 21 + 12 - 3x = -8
7x - 3x = -8 + 21 - 12 
4x = 1
x = 1/4 
        
             
        
        
        
Answer:

Step-by-step explanation:
Step 1
List the length of the wingspan of the five butterflies

Step 2:
The two butterflies with the shortest wingspan has a wing length of  inches each.
 inches each.
Step 3:
Total length of the wingspan of the two butterflies with the shortest wingspan 
= 
Final answer:
= 
 
        
             
        
        
        
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2