how can you write an expression for just the number 6?

6

place the parentheses to make the expression equal to the number behind the door.

the number behind the door is 6.

the numbers on the key are 8 - 3 - 1^3

where would you place the parentheses?

(8 - 3) * 1^3 = 5 * 1 = 5

Therefore, this expression does not equal to 6.

which expression has the greatest value x = 3?

2x^3
2x^3 + 5
(2x)^3
(x-1)^3

To find which expression has the greatest value when x = 3, we can substitute x = 3 into each expression and compare the results.

1. 2(3)^3 = 2(27) = 54
2. 2(3)^3 + 5 = 2(27) + 5 = 54 + 5 = 59
3. (2*3)^3 = 6^3 = 216
4. (3-1)^3 = 2^3 = 8

Therefore, the expression with the greatest value when x = 3 is 2x^3 + 5 which equals 59.

thats not right

I apologize for the mistake. Let's correct that:

1. 2(3)^3 = 2(27) = 54

2. 2(3)^3 + 5 = 2(27) + 5 = 54 + 5 = 59

3. (2*3)^3 = 6^3 = 216

4. (3-1)^3 = 2^3 = 8

Based on the corrected calculations, the expression with the greatest value when x = 3 is (2x)^3 which equals 216.

evaluate 3 + (a + 4)(8 - b) when a = 5 and b = 6

What is the value of the expression?

To evaluate the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6, we substitute the given values into the expression:

3 + (5 + 4)(8 - 6)
= 3 + (9)(2)
= 3 + 18
= 21

Therefore, the value of the expression is 21.