Solution:
The difference of cubes identity is
if a and b are any two real numbers, then difference of their cubes , when taken individually:
→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.
I will show you , how this identity is valid.
Taking R H S
(a-b)(a² +b²+ab)
= a (a² +b²+ab)-b(a² +b²+ab)
= a³ + a b² +a²b -b a² -b³ -ab²
Cancelling like terms , we get
= a³ - b³
= L H S
Conversion!
1 kg = 1000 g.
3 kg = 3000 g.
9 kg = 9000 g.
9000 - 3000 = 6000 g.
Angie's puppy gained 6000 g (6 kg.)
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To get whether they are equal you have to cross multiply the numbers 18x16 and 48x3
48x3= 144
16x18= 288
144 is not equal to 288.
Therefore the rates aren’t equivalent.
Measures of variation: <span> ways to describe measures of central tendency for a data.
<em>
</em><em>the most common measure of variation is range, so in this case, the smallest number is 1, and the largest is 17. This means the range is 16.
</em>
Interquartile Range:
<em>Lower q: {1, 2, 4}
</em><em>Upper q: {8, 12, 17}
</em>Here you have to subtract 12 from 2, which gives you 10.
Mean absolute deviation:
Alright, let's first find the mean...
(1+2+4+5+8+12+17)
---------------------------= 7
7
What is the distance of each number from 7?
1: 6 units
2: 5 units
4: 3 units
5: 2 units
8: 1 unit
12: 5 units
17: 10 units
After adding all of these together, and dividing by 7, you will get...
<em>4.571428 </em></span>≈ <em>4.6 or 5.
</em><span>
I hope these answers help you! Please give me brainliest!</span>
A real number and a rational number
