Answer:
I think it is A
Step-by-step explanation:
It has one solution that is the answer
<h3>
Answer: 31</h3>
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Work Shown:
Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.
Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).
This is used to find a3
Finally we can now find a4
Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
1) multiply price per pound by number of pounds.
1.73/lb * 2.6 pounds= $4.498= $4.50
ANSWER: C) $4.50
2) set up a proportion. 494 is what % out of 520 as x is what out of 100.
$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x
ANSWER: D) 95%
Hope this helps! :)
