Respuesta :

The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

The considered expression is 2y + 10 + y²

We need to evaluate it at y = 8

Putting 8 in place of y in the expression, we get:

[tex]2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90[/tex]

Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.

Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why [tex]2 \times y[/tex] was written 2y in the expression.

Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

Learn more about evaluating a function at a value  here: https://brainly.com/question/2753269