Respuesta :

Answer:

C- 43

Step-by-step explanation:

Please see photo for step by step calculation

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Answer:

C. 43

Step-by-step explanation:

A quadratic expression is a mathematical expression of the form ax² + bx + c, where a, b and c are constants, and x is the variable raised to the power of 2 (squared).

Given quadratic expression:

[tex]3x^2- 6x - 2[/tex]

To evaluate the quadratic expression when x = 5, we can substitute x = 5 into the expression:

[tex]3(5)^2- 6(5) - 2[/tex]

Following the order of operations, we carry out the exponents first.

Since a number squared is obtained by multiplying the number by itself, then 5² = 5 × 5 = 25, so:

[tex]3(25)- 6(5) - 2[/tex]

Next, multiply:

[tex]75-30-2[/tex]

Finally, subtract from left to right:

[tex]45-2\\\\43[/tex]

Therefore the evaluation of 3x²- 6x - 2 when x = 5 is:

[tex]\huge\boxed{\boxed{43}}[/tex]

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