Subject

For Each Value of W , Determine Whether It Is a Solution to 6=(w)/(4)-1 . Multirow(2)(*)( W ) & Multicolumn(2)(|c|)( Is It a Solution?

Question

For each value of w , determine whether it is a solution to 6=(w)/(4)-1 . multirow(2)(*)( w ) & multicolumn(2)(|c|)( Is it a solution? ) cline ( 2 - 3 ) & Yes & No 40 & & 28 & & -16 & & -4 & &

Solution

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Howard Veteran · Tutor for 12 years

Answer

### The completed table is:

Explanation

We are tasked with determining whether each value of

satisfies the equation

. To do this, we will substitute each given value of

into the equation and check if the left-hand side equals the right-hand side.## Step 1: Rearrange the equationThe given equation is:

To simplify, add

to both sides:

Now, multiply both sides by

to isolate

:

Thus, the solution to the equation is

.## Step 2: Check each value of

We will now substitute each given value of

into the original equation

to determine if it satisfies the equation.### Substitution for

:Substitute

into the equation:

Simplify:

Thus,

is **not** a solution.### Substitution for

:Substitute

into the equation:

Simplify:

Thus,

**is** a solution.### Substitution for

:Substitute

into the equation:

Simplify:

Thus,

is **not** a solution.### Substitution for

:Substitute

into the equation:

Simplify:

Thus,

is **not** a solution.## Step 3: Fill in the tableBased on our calculations, we can now complete the table as follows: