Question

explain whether 15t - 2t is equivalent to 2t - 15t. support your answer by evaluating the expressions for t = 2. the expression 15t - 2t equivalent to 2t - 15t because the negative sign in 15t - 2t belongs to the term is is not

Explanation:

Step1: Evaluate \(15t - 2t\) for \(t = 2\)

Substitute \(t = 2\) into \(15t - 2t\):
\(15(2)-2(2)=30 - 4 = 26\).

Step2: Evaluate \(2t - 15t\) for \(t = 2\)

Substitute \(t = 2\) into \(2t - 15t\):
\(2(2)-15(2)=4 - 30=-26\).

Step3: Compare the results

Since \(26
eq - 26\), the expressions are not equivalent. Also, using the commutative property of subtraction (or reordering terms with sign), \(15t - 2t=13t\) and \(2t - 15t=-13t\), which are not equivalent. So the negative sign in \(15t - 2t\) (attached to \(2t\)) means \(15t - 2t\) is not equivalent to \(2t - 15t\) (where the negative is attached to \(15t\)).

Answer:

is not