Respuesta :

The expression we have is:

[tex]7y^3-23+8y^2+(24\div3)[/tex]

And we need to evaluate this expression when the value of y is:

[tex]y=2[/tex]

Step 1. Substitute y=2 into every "y" that the expression has:

[tex]7(2)^3-23+8(2)^2+(24\div3)[/tex]

And now we can start solving the operations step by step.

Step 2. Solve the terms that have an exponent.

Since

[tex]2^3=2\times2\times2=8[/tex]

And

[tex]2^2=2\times2=4[/tex]

The expression is now as follows:

[tex]7(8)-23+8(4)^{}+(24\div3)[/tex]

Step 3. The next step is to solve multiplications and divisions.

We start with the first multiplication 7(8) which is 56:

[tex]56-23+8(4)^{}+(24\div3)[/tex]

Step 4. Solve the next multiplication 8(4) which is 32:

[tex]56-23+32^{}+(24\div3)[/tex]

Step 5. Solve the division 24÷3 which results in 8:

[tex]56-23+32^{}+8[/tex]

Step 6. Finally, solve all of the additions and subtractions:

[tex]56-23+32^{}+8=73[/tex]

The result is 73, option D.

Answer:

D. 73

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