<u>Solution</u><u>:</u><u>-</u>
Let's find roots of x² - 3x + 2
=> x² - 3x + 2 = 0.
=> x² - x - 2x + 2 = 0.
=> x ( x - 1 ) -2 ( x - 1) = 0.
=> ( x - 1 ) ( x - 2 ) = 0.
=> x = 2, 1.
Now
- ( a + ß )² = (2+1)²=3²=9
- ( a - ß )² = ( 2 - 1 )² = 1² = 1.
So , equⁿ would be ,
=> x² - ( 9 + 1)x + 9×1=0.
<u>=> x² - 10x + 9=0.</u>
The stock of cat food will last for 149 weeks.
Step-by-step explanation:
Given,
Bags of cat food in stock = 112
Bags used each week = 
Let,
x be the number of weeks.
Therefore,

Multiplying both sides by 4/3

Rounding off to nearest whole number;
x=149
The stock of cat food will last for 149 weeks.
Keywords: fraction, multiplication
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Answer:
12 dozens of eggs I believe
Step-by-step explanation:
12 eggs are in one dozen
<em>Divide</em><em> </em><em>1</em><em>4</em><em>4</em><em> </em><em>by</em><em> </em><em>1</em><em>2</em><em>. </em><em> </em><u>1</u><u>4</u><u>4</u><u>÷</u><u>1</u><u>2</u><u>=</u><u>1</u><u>2</u>
Answer:
the answer is 7/12 hours
Step-by-step explanation:
Answer:
0.1225
Step-by-step explanation:
Given
Number of Machines = 20
Defective Machines = 7
Required
Probability that two selected (with replacement) are defective.
The first step is to define an event that a machine will be defective.
Let M represent the selected machine sis defective.
P(M) = 7/20
Provided that the two selected machines are replaced;
The probability is calculated as thus
P(Both) = P(First Defect) * P(Second Defect)
From tge question, we understand that each selection is replaced before another selection is made.
This means that the probability of first selection and the probability of second selection are independent.
And as such;
P(First Defect) = P (Second Defect) = P(M) = 7/20
So;
P(Both) = P(First Defect) * P(Second Defect)
PBoth) = 7/20 * 7/20
P(Both) = 49/400
P(Both) = 0.1225
Hence, the probability that both choices will be defective machines is 0.1225