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Travka [436]
3 years ago
5

when directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x-(5/2))^2= (13/4). which equ

ation could have been the original equation given to Sam?
Mathematics
1 answer:
Tasya [4]3 years ago
7 0
We have the following expression:
 (x- (5/2)) ^ 2 = (13/4)
 Let's rewrite the given expression:
 x ^ 2 - 5x + 25/4 = (13/4)
 x ^ 2 - 5x + 25/4 - 13/4 = 0
 x ^ 2 - 5x + 12/4 = 0
 x ^ 2 - 5x + 3 = 0
 Answer:
 
the original equation given to Sam could have been:
 
x ^ 2 - 5x + 3 = 0
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What is the rule if the reflection?
Mice21 [21]

Answer:

option c

r_{x-axis}->(x,-y)

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed), So we can see from the graph that,

point M(-5,4) is reflected to m'(-5,-4)

similarly,

point N(-2,3) is reflected to N'(-2,-3)

point L(-4,2) is reflected to L'(-4,-2)

3 0
3 years ago
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Is C + 11 = 20; c =9 a solution if the equation
Deffense [45]

Answer:

Step-by-step explanation:

c + 11 = 20....subtract 11 from both sides

c = 20 - 11

c = 9

and u know that u can check ur answer by subbing it back into the equation

c + 11 = 20

9 + 11 = 20

20 = 20 (correct)

so yes, ur answer c = 9 is correct

8 0
3 years ago
How to write an equivalent expression for n times a using only addition
Zigmanuir [339]
Maybe an answer would be 30=20+n  What is the value of the variable?
7 0
3 years ago
Please Help Me!
Rainbow [258]
For the first option, the range is a measure of variability which measures the spread of the data set from the least value to the greatest value, but it does not take into account the variability of the other data values of the data set. The range is easily affected by the presence of outliers (data points that are away from other data points). Thus the range is regarded as a weak measure of variability and is not used when other measures of variability are available. Thus, that the range of the two data sets are equal does not mean that the data sets have the same variability. Therefore, the first option is not the correct answer.

For the second option, the median is not a measure of variability. Thus, that a data set has a greater median than another data set does not mean that the data set would have a greater variability. Therefore, the second option is not the correct answer.
For the third option, the inter-quartile range (IQR) is a better measure of variability than the range because it takes into account more data points than the range. Now, because, the the IQR of Team 2 is less than the IQR of Team 1, this shows that Team 1 have greater variability than Team 2 and thus the conclusion of the coaches are inaccurate. Therefore, the third option is the correct answer.

For the fourth option, the mean absolute deviation, MAD, is a better measure of variability than the IQR because it takes into account all the points of the data set. While IQR measures variability with respect to the median, MAD measures variability with respect to the mean. Because we are told that the data sets are not symmetrical, the median will be a better measure of the center than the mean, thus the IQR will present a better measure of the variability of the data sets. Thus, though the MAD for Team 2 was calculated to be a larger number than the MAD for Team 1, the information can be misleading in arriving at a conclusion on which data set has more variability because the data sets are not symmetrical. Therefore, the fourth option is not the correct answer.
4 0
3 years ago
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A blueprint is 1 in: 12ft. Then width of a building is 48ft. What is the width of the building on the blueprint?
IgorLugansk [536]

The width on the blueprint is 4 inches.

<h3>What is the width of the building on the blueprint?</h3>

The blueprint is a scale drawing of the building. A scale drawing is a reduced form in terms of dimensions of an original image / building / object

The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image. An example of a scale is 1 inch 12 feet. This scale means that 1 inch of the blueprint represents 12 feet of the building.

Width of the building on the blueprint = 48 / 12 = 4 inches

To learn more about scale drawings, please check: brainly.com/question/26388230

#SPJ1

6 0
2 years ago
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