Answer:
<u><em>x>2</em></u>
Step-by-step explanation:
<u><em>x3+3x2=7x+6</em></u>
<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>
<u><em>x3+3x2−7x−6=0</em></u>
<u><em>(x−2)(x2+5x+3)=0</em></u>
<u><em>x−2=0 or x2+5x+3=0</em></u>
<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>
<u><em>x<−4.302776</em></u>
<u><em>−4.302776<x<−0.697224</em></u>
<u><em>−0.697224<x<2</em></u>
<u><em>x>2(Works in original inequality)</em></u>
Answer: A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16
Answer:
The answer to your question is letter B
Step-by-step explanation:
Data
length = 12 in
width = 8 in
height = 16 in
surface area = ?
Formula
Surface area = 2( length x width) + 2(length x height) + 2((width x height)
Substitution
Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)
Simplification
Surface area = 256 + 384 + 102
Result
Surface area = 832 in²
Answer:
The statement is wrong. a-b can be positive but not always.
Step-by-step explanation:
There can be three possible situations that are:
- a>b
- a<b
- a=b
Now taking first condition, the result will be positive because a smaller integer is subtracted from a greater one. Such as 5-2=3
In second condition, the result will be negative because a greater integer is subtracted from smaller one. Such as 2-5= -3
In the third condition, the result will always be zero because both the integers will cancel each other. Such as 5-5=0
