Answer:
(x - 2)(x² + 2x + 4)
Step-by-step explanation:
A difference of cubes factors in general as
• a³ - b³ = (a - b)(a² + ab + b² )
note 8 = 2³ = 8 ⇒ b = 2 , with a = x
Hence
x³ - 8
= x³ - 2³
= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)
Hey there!
P(y) = 0.46
P(x) = 0.49
P(y') = 0.54
P(x') = 0.51
P(y and x') = 0
x = person that watched the film
y = person that visited the gift shop
P(y and x') / P(x')
0.1 / 0.51 = 0.196
Now convert that into a percentage!
0.196 = 19.6%
Your answer is 19.6%
Hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
The answer is A, ab<cd.
Step-by-step explanation:
If a, b, c, d are positive, and if a b < c d , then Ab>cd is always true
Answer:
3) 7:8 7 to 8 4) 40/100 = 2/5 5) 60 mph 6) 300 kph 7) Jane 8) Jon can go faster
Step-by-step explanation:
5) 120/2 =60
6) 900/3 =300
7) Tim =50/5= $10 an hour
Jane= 24/2 =$12 an hour
<h3>
Answer: -3/4 (choice C)</h3>
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Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
