Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: 
= 
+ (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if = 2 and d = 5 are given, plug those into formula
= 2
= 2 + (2 - 1)·5 = 2+5 = 7
= 2 + (3 - 1)·5 = 2+2(5) = 12
= 2+(4 - 1)·5 = 2+3(5) = 17
Answer:
D. 3(x - 1)(x+3)(x + 2).
Step-by-step explanation:
3(x - 1)(x + 3)(x + 2)
= 3(x - 1)(x^2 + 5x + 6)
= 3(x^3 + 5x^2 + 6x - x^2 - 5x - 6)
= 3(x^3 + 4x^2 + x - 6)
= 3x^3 + 12x^2 + 3x - 18.
Answer:
k = 
Step-by-step explanation:
Expand.
11k - 8 = 11 + 8k + 72
Simplify 11 + 8k + 72 to 8k + 83.
11k - 8 = 8k + 83
Add 8 to both sides.
11k + 8k + 83 + 8
Simplify 8k + 83 + 8 to 8k + 91.
11k = 8k + 91
Subtract 8k from both sides.
11k - 8k = 91
Simplify 11k - 8k to 3k.
3k = 91
Divide both sides by 3.
k =
3/5 is in its simplest form, but as a decimal it’s 0.6
Answer:
3/16
Step-by-step explanation:
The formula for Volume is V = L * W * H
The given are L = 1/2, W = 1/2, H = 3/4
Substituting the values -
V = 1/2 * 1/2 * 3/4
= 3/16
= 3/16 divide by the Greatest Common Factor (GCF) of 3 and 16 to get the lowest term
= 3/16
Therefore, the volume of the box in 3/16.
