Answer:
6(4)(5) = 120 units³
Step-by-step explanation:
From the options, I deduced that the prism is a rectangular prism. Then, its volume is computed as follows:
Volume = length*width*height
where length, width and height are 6, 4 and 5 length unit, respectively. Therefore, its volume is:
Volume = 6*4*5 = 120 cubic unit
Answer:
(g•f)(x) = x.
Step-by-step explanation:
Let 
, then the inverse function of the f(x) is 
So, (g•f)(x) = ![g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%20%3D%20g%28x%5E%7B2%7D%20%2B%201%20%29%20%3D%20%5Csqrt%7B%28x%5E%7B2%7D%20%2B%201%29%20-%201%7D%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20%7D%20%3D%20x)
Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.
Hence, option D is correct. (Answer)
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation:
Step-by-step explanation:
1 week = 7 days
1 gallon = 16 cups ⇒ 1 cup = 1/16 gallon
1.5 cups = 1.5 · 1/16 gallon = 15 · 1/160 gallon = 3/32 gallon
1.5 cups per day = 3/32 gallons per day = 7 · 3/32 gallons per week
= 21/32 gallons per week
