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castortr0y [4]
3 years ago
7

The area of a rectangular garden is given by the quadratic function: LaTeX: A\left(x\right)=-6x^2+105x-294A ( x ) = − 6 x 2 + 10

5 x − 294. Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units?
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

Step-by-step explanation:

Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

Maximum area=1323/8

Range= y<= 1323/8

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Please help me with this one
JulsSmile [24]

Answer:

I DESERVE BRAINLIEST

Step-by-step explanation:

C=5.5*2*PI

C=11*pi

C=34.5575191895

C= 34.56

A=pi*5.5^2

A=30.25*Pi

A= 95.0331777711

A= 95.03

5 0
3 years ago
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B is the midpoint of a segment AC. AB = 5x, BC = 3x+4 Find x, AB, BC, and AC.
Shalnov [3]

Given below is the answer

5 0
2 years ago
Kayla and latasha work for a department store the amount of sales they made over the last year was collected monthly in the data
tresset_1 [31]

Based on the information represented by the boxplot ;

  • Latasha's lowest sale amount = 50

  • Kayla's median is between 200 and 300

  • Latasha has a greater spread due to higher IQR value

1.) <em><u>The Lowest amount of sale made by Latasha in one month </u></em>

  • The minimum value is denoted by the starting position of the lower whisker on a boxplot.

  • Lowest amount of sale made by Latasha = 50

2.) <em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>Kayla</u></em><em><u> </u></em><em><u>:</u></em>

  • 50% of sales made marks the median value in a boxplot, it is denoted by the vertical line in between the box.

  • 50% of sales made by Kayla is between 200 and 300

  • With median sale value being 250

3.) <em><u>Spread</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>middle</u></em><em><u> </u></em><em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>:</u></em>

  • The measure of spread of the middle 50% of a distribution on a boxplot is the Interquartile range (IQR) of the distribution

  • IQR = Upper Quartile (Q3) - Lower quartile(Q1)

<u>For Latasha</u> :

  • Q3 = 450 (Endpoint of the box)
  • Q1 = 150 (starting point of the box)

  • IQR = 450 - 150 = 300

<u>For</u><u> </u><u>Kayla</u><u> </u><u>:</u><u> </u>

  • Q3 = 375 (Endpoint of the box)
  • Q1 = 100 (starting point of the box)
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  • Since, Latasha's IQR is greater than Kayla's, then Latasha has a greater mid 50% spread than Kayla.

Learn more :brainly.com/question/24582786

4 0
2 years ago
Describe the center and spread of the data using either the mean and standard deviation or the five-number summary. Justify your
goblinko [34]

Answer:

The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25

Step-by-step explanation:

In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.

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3 years ago
V62 is between what pair of consecutive integers?<br> 10 and 11<br> 8 and 9<br> 7 and 8<br> 6 and 7
pishuonlain [190]

Answer:

7 & 8.

Step-by-step explanation:

√62 = 7.87400787401.

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3 years ago
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