First, you must use a factor tree to find the prime factors of the number.
12
/ \
6 (2)
/ \
(3) (2)
2 , 2 and 3 are the prime factors that make 12
2 x 2 x 3= 12
Or
2^2 x 3= 12
Answer:
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
Step-by-step explanation:
Take a number, x.
Now increase it by 5%.
1.05x
Now increase it by 20%.
1.2 * 1.05x = 1.26x
1.26x = 126% of x = 100% of x + 26% of x
100% of x is the same as x, so it is the same as the original x.
The increase is 26% of the original number.
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
The answer is: x² – 6x + 9 = 0 .
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Explanation:
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Given: (x – 3)² = 0 ; write as: general form: "ax² + bx + c = 0"; a ≠ 0 .
<span>
Note: </span>(x – 3)² = (x – 3)(x – 3) = x² – 3x – 3x + 9 = x² – 6x + 9 ;
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Rewrite: (x – 3)² = 0 ; →
as: x² – 6x + 9 = 0 ; which is our answer.
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→ x² – 6x + 9 = 0 ; is in "general form", or "standard equation format"; that is: " ax² + bx + c = 0 "; (a ≠ 0) ;
→ in which:
a = 1 (implied coefficient, since anything multiplied by "1" is that same value);
b = -6;
c = 9
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Answer:
The best buy item is the Frito-Lay mi Variety Pack. Going for only 0.35 per item.
Step-by-step explanation:
All I did was the equations and then I compared the answer, the lowest answer is the best buy since it is the lowest price found.
Frito-Lay:
9.88/28 = 0.35
Unit rate is 35 cents
Pringles:
6.48/18 = 0.36
Unit rate is 36 cents
Pack of 18:
11.21/18 = 0.6
Unit rate is 60 cents
Pack of 24:
15.85/24 = 0.66
Unit rate is 66 cents
GC:
14.75/30 = 0.49
Unit rate is 49 cents
Sweet Treats:
10.75/25 = 0.43
Unit rate is 43 cents
Comparing all of this data, it can easily be seen that the Frito-Lay mi Variety Pack is the best deal you can find out of these 6 deals.
