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krok68 [10]
2 years ago
8

What number should be added to the expression x2 14x to change it into a perfect square trinomial?.

Mathematics
1 answer:
makkiz [27]2 years ago
8 0

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

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Answer:

A

Step-by-step explanation:

Cassie pours coffee at a rate of 50 mi liters per seconds

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2 years ago
Question: which angles are vertical angles?
liraira [26]

6 and 7 are vertical.

5 and 8 are vertical.

7 0
2 years ago
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A vendor sold a combined 234 sodas and hot dogs. The number of sodas was two times the number of hot dogs sold. Find the number
babymother [125]

Answer:

  • 156 hot dogs
  • 78 sodas

Step-by-step explanation:

A group of 2 hot dogs and 1 soda makes a group of 3 items. There were ...

  234/3 = 78

groups of items sold.

Since there is 1 soda in the group, that's 78 sodas. The number of hot dogs is 2 times that, or 156 hot dogs.

78 sodas and 156 hot dogs were sold.

6 0
3 years ago
If a time series plot exhibits a horizontal pattern, then
gogolik [260]

Answer: C. there is still not enough evidence to conclude that the time series is stationary.

Step-by-step explanation: First thing to note for a time series plot is that it is required to select a suitable forecast method for the data set being considered.

A stationary time series means that the process generating the data set has a constant mean and the variations are constant over time. This means all evidence is present leading to the conclusion that the entire time series is stationary. A stationary time series thus exhibits an horizontal pattern which enables an appropriate forecast method to be selected for this type of pattern.

A horizontal pattern of a time series plot indicates that a data set fluctuates around a constant mean for a period of time. This period of time may however not be the entire time of the time series or take the entire data set into consideration and might just be a reflection of a portion of the time series hence why it can not be explicitly considered to be stationary. This means that a horizontal pattern can change into a seasonal or trending pattern if more variables/data are added over time.

For instance, a manufacturer sells a certain amount of products over a 10 week period and the resulting pattern of a time series plot is horizontal, then from the 11th week to the 15th week he gets a sharp and continuous increase in sales. This change in level will therefore change the time series plot from horizontal to trending making it more difficult to select a suitable forecast method.

6 0
3 years ago
In your biology class, your nal grade is based on several things: a lab score, scores on two major tests, and your score on the
Mariana [72]

Complete Question

In your biology class, your final  grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)

Answer:

The weighted average is  W = 87.65

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  25% of total grade

  The worth of each major  test is   22.5% of total grade

   The worth of final exam is  30% of total grade

The  score on lab is  92

The score on first major test 81

The score on second major test 93

 The score on final  exam is  85

Generally the weighted score is mathematically represented as

     W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 87.65

   

   

3 0
3 years ago
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