Answer:
(fg)(x) = 6x³ - 2x² + 12x - 4
Step-by-step explanation:
( f g ) ( x ) = f ( x ) * g ( x )
f(x) = 2x² + 4
g(x) = 3x – 1
( f g ) ( x ) = (2x² + 4) (3x – 1)
= 6x³ - 2x² + 12x - 4
The correct answer is x=3. Hope this helps!!
Answer:
Yes
Step-by-step explanation:
Congruent means equivalent so if <6 is = to <3 then due to <3 being = to <1 <6 also has to be = to <1.
9514 1404 393
Answer:
- rectangular prism: 288 ft³
- triangular prism: 72 ft³
- total: 360 ft³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
__
The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
__
The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
Answer:
The answer is B
Step-by-step explanation:
Because 3 1/5 as a decimal is 3.2
So 3.2 x 7 = 22.4
converted to a fraction is 11 2/5
and 22 2/5 simplified is 11 2/5
