The equation that represents the relationship between step number and the number of dots is 
.
Solution:
Let the number of dots be y.
Step number 0: Number of dots = 1
y = 1
Using exponential rule: 
Step number 1: Number of dots = 5
y = 5
Step number 2: Number of dots = 25
y = 25
Step number 3: Number of dots = 125
y = 125
Note that in step number 0 the power is 0, 1st step power of 5 is 1, 2nd step power of 5 is 2 and the third step power of 5 is 3.
If the process goes on up to n steps, then power of 5 is n.
∴ Step number n:
Number of dots = 
.
Hence the equation that represents the relationship between step number and the number of dots is .
D . 3(5+7) that is the expression which is equivalent
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
The volume of the cube would be S^3, where S is the length of the side.
Volume = (5a + 4b)^3
Which becomes:
(5a+4b)(5a+4b)(5a+4b)
Multiply the first two sets of parenthesis by each other:
(25a^2+40ab+16b^2)(5a+4b)
Now multiply that by the 3rd set of parenthesis to get:
125a^3+300a^2b + 240ab^2 + b^3
Answer:
The system of the equations has no solution; the two lines are parallel
Step-by-step explanation:
we have
----> equation A
-----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The lines does not intersect, the lines are parallel
see the attached figure
therefore
The system of the equations has no solution
