Answer:
Step-by-step explanation:
- A. 36 × 6 × 6 × 6 = 6²⁺¹⁺¹⁺¹ = 6⁵                                incorrect
- B. 125 × 125 = 5³ × 5³ = 5³⁺³= 5⁶                             correct
- C. 6 × 5                                                                    incorrect
- D. 25 × 5 × 5 × 5 = 5² × 5 × 5 × 5 = 5²⁺¹⁺¹⁺¹ = 5⁵    incorrect
 
        
                    
             
        
        
        
Answer:
Option D
Step-by-step explanation:
The complete question in the attached figure
we have that

so
the rule of the translation of f(x) to g(x) is equal to
(x,y) -----> (x-4,y+2)
That means
The translation is 4 units at left and 2 units up
 
        
             
        
        
        
For line l to intersect line m at point (2, 1/2), line m must have the point (2,1/2) on its graph. It is implied that line l already has the point (2, 1/2). If line m does not have it, then there will be no intersection at that specific point.
Try checking every choice to see if it has point (2,1/2) on the graph.
Note that (x,y) = (2,1/2); check by using x=2 and y=1/2.
For A,
   2x = y/2
   2(2) = (1/2) / 2
   4 <span>≠ 1/4
</span>
Cannot be choice A as it results in a false equation; this choice will not go through (2,1/2)
For B:
   2y = 3 - x
   2(1/2) =  3 - 2
   1 = 1
This is a true equation so the point (2,1/2) is on the graph of 2y=3-x. This means that if this is the equation for line m, then line m will have a point at (2,1/2) and therefore intersect with line l. Therefore, B is the answer.
The rest of the choices are false as shown:
For C:
 
   2x + 4y = 8
   2(2) + 4(1/2) = 8
   4 + 2 = 8
   6 ≠ 8
Cannot be choice C as it results in a false equation; this choice will not go through (2,1/2)
For D:
   y = 4 - (5/4)x
   1/2 = 4 - (5/4)(2)
   1/2 = 4 - 5/2
   1/2 = 8/2 - 5/2
   1/2≠ 3/2
Cannot be choice D as it results in a false equation; this choice will not go through (2,1/2)
        
             
        
        
        
 Answer:
4 minutes
Step-by-step explanation:
You would divide 100 by 25 which is 4