Answer: x = 2 ; -11 .
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Explanation:
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Given the equation:
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x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
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"x</span>² + 9x −<span> 22" ;
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What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
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So we have: "-2" and "11" ;
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So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
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x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
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Answer: x = 2 ; -11 .
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a. HCF of 48 and 72 is 24
He can use 24 plates maximum.
b. 48/24 = 2
72/24 = 3
He can put 2 carrot sticks and 3 cheese puffs on each plate.
Hope this helps
Answer:
Not possible
Step-by-step explanation
Range is the difference between the highest and lowest data value in a data set. It is used to define the spread on data on the graph. Higher the range higher will be spread of data.
Whereas median is the middle value(odd number of data values) or average of the middle values(even number of data values) in a data set.
Therefore, adding an additional data value will surely change range( increase in case, the value is higher than other values) at same time it will also effect the median of the data set. So, it not possible to add the data for an additional hike to the line plot so that the range increases but the median does not change
Answer:
B
Step-by-step explanation:
1+1=2
But 2x has to stay the same
Answer:
D
Step-by-step explanation: