Pattern x and y are generated using the rules. Pattern x: start with 0 and add 6. Pattern y: start with 1 and multiply 2. Pattern x: , , , Pattern y:, , ,

Pattern :

Pattern :

Step-by-step explanation:

Given:

Pattern x: start with 0 and add 6.

Pattern y: start with 1 and multiply 2.

To find: patterns and

Solution:

Pattern :

Pattern :

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are