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Bingel [31]
2 years ago
14

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

What is the common factor that is missing from both sets of parentheses? 6x + 11 6x − 11 6x2 + 11 6x2 − 11
please help me
Mathematics
1 answer:
ipn [44]2 years ago
3 0
Factor by grouping is easier to visualize if we factor each group:
<span>24x3 − 54x2 + 44x − 99
= 24x3 + 44x − 54x2 − 99 
=4x(24x^3/(4x)+44x/(4x)) - 9(54x^2/9+99/9)
=4x(6x^2+11) - 9(6x^2+11)
=(4x-9)(6x^2+11)</span>
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When Mr. P. drinks an 8-ounce glass of cola, how many teaspoons of sugar is he consuming if one teaspoon of sugar provides 4 gra
natta225 [31]

The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

<h3>Calculation of total sugar quantity</h3>

The total amount of cola taken is 8-ounce

To covert ounce to grams , the following is carried out;

1 ounce =28.35g

8 ounce = X

Xg = 8 × 28.35

X = 226.8g

But one teaspoon = 4 grams

X teaspoon = 226.8g

cross multiply to solve for x

X = 226.8g/ 4

X = 56.7 teaspoons

Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

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2 years ago
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2 years ago
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Sedbober [7]

7/12,  3/4,  4/7,  5/8,  4/7

Answer:  

Order from Least to Greatest

4/7    =       4/7     <       7/12    <    5/8   <   3/4  

Showing Work  

Rewriting as fractions if necessary:  

7/12, 3/4, 4/7, 5/8, 4/7  

The least common denominator (LCD) is: 168.  

Rewriting as equivalent fractions with the LCD:  

98/168, 126/168, 96/168, 105/168, 96/168  

Ordering these fractions by the numerator in order from least to greatest:  

96/168    =    96/168     <     98/168    < 105/168    < 126/168  

Therefore, your input in order from least to greatest is:

Answer   =======>   4/7    =   4/7    <    7/12    <     5/8    < 3/4


B):  1.35,   5/4,   1.349,  6/5, 7/6

Number of inputs ====>  5

Answer => Ascending Order:  Least to Greatest =====>  7/6, 6/5, 5/4, 1.349, 1.35



C):   0.819,  0.8199, 81/100, 815/1000

Number of Inputs  ======>    4

Answer  ==> Ascending order (Least to Greatest ====>    81/100, 815/1000, 0.819, 0.8199



D):    3  4/7, 245/70, 3.572, 90/29

Number of Inputs:  4

Answer ==>  Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7




Hope that helps!!!!                                              : )

     


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