Question

When y = 4 which of the expressions below will be less than 5o select all

A 4y*2-6y+8
B y*3-3y
C 5(2y+4)+3y+8
D 12(y+3)-5(y+4

Answer 1

[AI-generated answer — Bot GPT-4o]

Let's evaluate each expression when \( y = 4 \) and see if the result is less than 50.

### Expression A: \( 4y^2 - 6y + 8 \)
First, substitute \( y = 4 \):
\[ 4(4)^2 - 6(4) + 8 \]
\[ 4(16) - 24 + 8 \]
\[ 64 - 24 + 8 \]
\[ 48 \]

This expression evaluates to 48, which is less than 50.

### Expression B: \( y^3 - 3y \)
Substitute \( y = 4 \):
\[ (4)^3 - 3(4) \]
\[ 64 - 12 \]
\[ 52 \]

This expression evaluates to 52, which is not less than 50.

### Expression C: \( 5(2y + 4) + 3y + 8 \)
Substitute \( y = 4 \):
\[ 5(2(4) + 4) + 3(4) + 8 \]
\[ 5(8 + 4) + 12 + 8 \]
\[ 5(12) + 12 + 8 \]
\[ 60 + 12 + 8 \]
\[ 80 \]

This expression evaluates to 80, which is not less than 50.

### Expression D: \( 12(y + 3) - 5(y + 4) \)
Substitute \( y = 4 \):
\[ 12(4 + 3) - 5(4 + 4) \]
\[ 12(7) - 5(8) \]
\[ 84 - 40 \]
\[ 44 \]

This expression evaluates to 44, which is less than 50.

### Summary
The expressions that are less than 50 when \( y = 4 \) are:
- A: \( 4y^2 - 6y + 8 \) (evaluates to 48)
- D: \( 12(y + 3) - 5(y + 4) \) (evaluates to 44)

So, the correct selections are ** and **D**.