We want to find the equivalent expression to:
[tex]\frac{7}{2} h - 3(5h - 1/2)[/tex]
We will see that the correct option is C
So we must start with our expression and then simplify it, we can do that by distributing the product in the second therm:
[tex]\frac{7}{2} h - 3*5h + 3*\frac{1}{2}\\\\\frac{7}{2} h - 15h + \frac{3}{2}[/tex]
Now we take h as a common factor and again, we use the distributive property:
[tex]\frac{7}{2} h - 15h + \frac{3}{2}\\\\h*(\frac{7}{2} + 15) + \frac{3}{2}\\\\\\h*(\frac{7}{2} + \frac{30}{2}) + \frac{3}{2}\\\\\frac{37}{2}h +\frac{3}{2}[/tex]
Thus, the correct option is C.
If you want to learn more about equivalent expressions, you can read:
https://brainly.com/question/2972832
