Answer:
The bottom left answer choice displays an outlier
Step-by-step explanation:
Answer: 1536 inches
Step-by-step explanation:
Fron the question, a rectangular prism has a length of 12 inches, width of 8 inches, and then a height of 16 inches. The volume can be gotten by multiplying the length by the width and height.
Volume= length × width × height
Volume = 12 × 8 × 16
Volume = 1536 inches
The volume of the box is 1536 inches.
Theory:
The standard form of set-builder notation is <span>
{ x | “x satisfies a condition” } </span>
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
<span>1st: x must be a real number</span>
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
<span>2nd: x is greater than or equal to 1</span>
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
<span>
X =
{ x | x ε R and x ≥ 1 } </span>
Answer:
Step-by-step explanation:
a) -x-4(1-x) =
−
2
x
−4
(
1
−
x
)
.
2
x
−
4
b) 3(5x-2)-5(3-4x) =
3
⋅
(5
x
−
2
)
−
5
⋅
(
5
−
4
x
)
35
x − 31
c) √2(3-x)-2(1-x√2) =
√
2
x
⋅
(
3
−x
)
−
2
⋅(
1
−
x
√
2
)
.
2
x
√
2
+
3
√
2
x
-√
2
x
x
−
2
