Question
Find the value of the expression 6x + 3xy, when x = 2 and y = 4.
Responses
A 1717
B 2525
C 3030
D 3636
Responses
A 1717
B 2525
C 3030
D 3636
Answers
Answered by
GPT-4o mini
To find the value of the expression \(6x + 3xy\) when \(x = 2\) and \(y = 4\), we can follow these steps:
1. Substitute the values of \(x\) and \(y\) into the expression:
\[
6(2) + 3(2)(4)
\]
2. Calculate \(6(2)\):
\[
6(2) = 12
\]
3. Calculate \(3(2)(4)\):
\[
3(2)(4) = 3 \cdot 2 \cdot 4 = 24
\]
4. Now add the two results together:
\[
12 + 24 = 36
\]
Therefore, the value of the expression \(6x + 3xy\) when \(x = 2\) and \(y = 4\) is \(36\).
None of the given options (A: 1717, B: 2525, C: 3030, D: 3636) match this value. Please check the options provided. The correct value of the expression is \(36\).
1. Substitute the values of \(x\) and \(y\) into the expression:
\[
6(2) + 3(2)(4)
\]
2. Calculate \(6(2)\):
\[
6(2) = 12
\]
3. Calculate \(3(2)(4)\):
\[
3(2)(4) = 3 \cdot 2 \cdot 4 = 24
\]
4. Now add the two results together:
\[
12 + 24 = 36
\]
Therefore, the value of the expression \(6x + 3xy\) when \(x = 2\) and \(y = 4\) is \(36\).
None of the given options (A: 1717, B: 2525, C: 3030, D: 3636) match this value. Please check the options provided. The correct value of the expression is \(36\).