9514 1404 393
Answer:
f(x)·g(x) = x³ +x² -2x -2
Step-by-step explanation:
Substitute the function definitions and simplify.
f(x)·g(x)
= (x +1)(x² -2)
= x(x² -2) +1(x² -2)
= x³ -2x +x² -2
f(x)·g(x) = x³ +x² -2x -2
Answer:
The new can can hold upto volume of 476.69 cubic centimeters.
Step-by-step explanation:
Diameter of the can = d = 6 cm
Radius of the can = r = 0.5d = 0.5 × 6 cm = 3 cm
Height of the can = h = 12 cm
Company wants to increase the dimensions of their cans by a multiple of 1.12. So, the new dimension will be:
r'= 3 cm × 1.12 = 3.36 cm
h' = 12 cm × 1.12 =13.44 cm
Volume of the = can = V
Volume of a cylinder = 
The new can can hold upto volume of 476.69 cubic centimeters.
Answer:
It would be 16 men.
Step-by-step explanation:
Let the number of men dig a pond in 6 day be x. Then,
It is a case of inverse variation.
12 × 8 = 6x
=> 96 = 6x
=> x = 96/6
=> x = 16
Hence, 16 men can dig a pond in 6 days.
The answer will be (x ≥ 2) ∩ (x ≤ 5). Hope it help!
First, you have to represent each given set by listing their elements. Observe:
• D = {x | x is a whole number}
D = <span>ℤ
</span>D = {..., – 3, – 2, – 1, 0, 1, 2, 3, ...}
• E = {x | x is a perfect square between 1 and 9}
("between" does not include the boundaries)
E = {x | x is a perfect square, 1 < x < 9}
E = {x | x = k², k ∈ ℕ and 1 < x < 9}
E = {2²}
E = {4}
• F = {x | x is an even number, 2 ≤ x < 9}
F = {2, 4, 6, 8}
So,
D ∩ F
= {..., – 3, – 2, – 1, 0, 1, 2, 3, ...} <span>∩ {2, 4, 6, 8}
</span>
= {2, 4, 6, 8} ≠ {4, 6}
Therefore, that statement is false.
I hope this helps. =)
