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Cloud [144]
3 years ago
6

I need #5 and #7 answered please.

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

Step-by-step explanation:

5). y = 4 - x²

   Table for the points on this function will be,

   x          -2          -1          0           1           2

   y           0          3          4           3           0

  Therefore, Domain of the function will be: (-∞, ∞)

  And Range of the function will be : (-∞, 2]

7). y=2+\sqrt{x-1}

    This function is defined from the values of x ≥ 1

   Table for the input-output values of this function is,

   x        1          2         5         10          17  

   y        2         3         4          5           6  

   Therefore, Domain of the function will be: [1, ∞)

   And Range of the function : [2, ∞)

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The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temper
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The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Step-by-step explanation:

The formula of the average of a set of data is A=\frac{S}{N} , where

  • S is the sum of the data in the set
  • N is the number of the data in the set

∵ The low temperatures in Anchorage, Alaska, for a week were

   − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

- Add the data in the set

∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

∴ S = -35

∵ The set has 7 data

∴ N = 7

- Use the formula of the average above to find it

∴ A=\frac{-35}{7}

∴ A = -5

∴ The average of the original set of numbers is -5

To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

∵ The number of data after removing two numbers is 5

∴ N = 5

∵ A = -5

- By using the rule of average

∴ -5=\frac{S}{5}

- Multiply both sides by 5

∴ -25 = S

∴ The new sum is -25

- Lets find which two numbers of have a sum of -10 because

   the difference between -35 and -25 is -10

∵ -1 + -9 = -10

∵ -6 + -3 + 1 + -3 + -14 = -25

∴ We could removed -1 and -9

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Learn more:

You can learn more about the average in brainly.com/question/10764770

#LearnwithBrainly

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Step-by-step explanation:

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three consecutive intergers have a sum of 30. Which equation can be used to find x, the value of the smallest of three numbers
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Answer:

x+ x+1 + x+2 = 30

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