If x = 2 and y = 3, what is the value of 2x² + 4y + 5?

If x = 2 and y = 3, what is the value of 2x² + 4y + 5?

• A. 20
• B. 25
• C. 30
• D. 35

Answer: (B)

To find the value of the expression \(2x² + 4y + 5\) when \(x = 2\) and \(y = 3\), we first substitute the values of \(x\) and \(y\) into the expression. Start by calculating \(x²\): \[ x² = 2² = 4 \] Next, substitute \(x²\) into the expression: \[ 2x² = 2 \times 4 = 8 \] Now calculate \(4y\): \[ 4y = 4 \times 3 = 12 \] Now that we have calculated the individual components, we can combine them with the constant: \[ 2x² + 4y + 5 = 8 + 12 + 5 \] Adding these values together gives: \[ 8 + 12 = 20 \] \[ 20 + 5 = 25 \] Thus, the final value of the expression is \(25\), confirming that the correct answer is indeed the second option. This systematic substitution and calculation process ensures that each part is accounted for correctly.

To find the value of the expression (2x² + 4y + 5) when (x = 2) and (y = 3), we first substitute the values of (x) and (y) into the expression.

Start by calculating (x²):

[

x² = 2² = 4

]

Next, substitute (x²) into the expression:

[

2x² = 2 \times 4 = 8

]

Now calculate (4y):

[

4y = 4 \times 3 = 12

]

Now that we have calculated the individual components, we can combine them with the constant:

[

2x² + 4y + 5 = 8 + 12 + 5

]

Adding these values together gives:

[

8 + 12 = 20

]

[

20 + 5 = 25

]

Thus, the final value of the expression is (25), confirming that the correct answer is indeed the second option. This systematic substitution and calculation process ensures that each part is accounted for correctly.