The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expressions are,
[tex]8x +40[/tex]
[tex]8(x+ 5)[/tex]
It has to determine if the two expressions are equivalent using x = 6 and x = 10.
The value of the first equation at x=6 are,
[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]
The value of the first equation at x=10 are,
[tex]8(10) +40=80+40\\8(10) +40=120[/tex]
Now, the value of the second equation at x=6 are,
[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]
Similarly, the value of the second equation at x=10 are,
[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]
The values of both equation are same at x=10 and x=6.
Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
