tell whether these pair of expressions are equivalent
-7x and (-12)(5x)(1/4)
To determine if the expressions -7x and (-12)(5x)(1/4) are equivalent, we can simplify both expressions and compare the results.
Starting with -7x, there isn't much simplification we can do apart from combining the multiplication of the constant -7 with the variable x.
Now let's simplify (-12)(5x)(1/4) step by step:
- First, we can multiply the constant -12 with 5 and obtain -60.
- Next, we multiply -60 with the variable x, which gives us -60x.
- Lastly, we multiply -60x by 1/4, resulting in (-60/4)x or -15x.
By comparing the simplified expressions, we find that -7x and -15x are not equivalent.