Answer:
58°
Step-by-step explanation:
Answer:
180-43
Step-by-step explanation:
43 and x are supplementary which means they both should equal 180
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
ANSWER
The correct answer is D.
EXPLANATION
If we express the monomial,
as product of primes, we obtain:
If we express the monomial
as product of primes we obtain:
The least common multiple of these two binomials is the product of the highest powers of the common factors.
The LCM is
Therefore the correct answer is D.
