Afunction is a rule that assigns each value of the variable to exactly one value of the dependent variable.

Using the function concept, it is found that:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

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A similar problem is given at link

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

We have been an incomplete statement. We are asked to complete the given statement.

We know that a function is a relation between two sets. A relation is known as function when each input in the domain has exactly one specific corresponding output.

We also know that independent variable is known as input of function and dependent variable is known as output of function.

Therefore, the correct word for given statement would be independent variable.

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

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