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andreyandreev [35.5K]
3 years ago
11

Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.

Mathematics
1 answer:
spayn [35]3 years ago
7 0
Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞
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Please help first answer will get brainliest!
scZoUnD [109]

Answer: -10

Step-by-step explanation: From the start of the equation, we know it must factor to something like (3m + x)(n+y), because the first term must be 3mn. Now, for the next term to be -6n, y must be -2, and for the third term to be 5n, x must be positive 5. So we end up with (3m+5)(n-2). If we factor this out, we get 3mn-6m+5n-10, meaning the final term is -10.

5 0
3 years ago
Lauren is a college sophomore majoring in business. This semester Lauren is taking courses in accounting, economics, management
Alexxandr [17]

Answer:

a) We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

8 0
3 years ago
What is the approximate circumference of a circle with a diameter of 500 kilometers? Use π ≈ 3.14.. . A.. 785 kilometers. . B..
Anestetic [448]
3.14×500= 1570 kilometers
8 0
3 years ago
Read 2 more answers
A ​used-boat dealership buys a boat for ​$2800 and then sells it for ​$4000. What is the percent​ increase?
Rudik [331]

Answer:

Step-by-step explanation:

percent increase = increase divided by original number x 100

                           

increase is the difference between the two numbers...

new number - original number.....4000 - 2800 = 1200

percent increase = (1200 / 2800) x 100

                            = 0.42857 (round to .4286) x 100

                             = 42.86 %.....if you need it rounded to the nearest percent, it      would be 43% increase

6 0
3 years ago
What is the total cost of a $720 ipad that is on sale at 15% off if the local sales tax is 6%
jasenka [17]

Answer:

$828

Step-by-step explanation:

15% = 0.15

0.15 x 720 = 108

total cost = $720 + $108 = $828

3 0
3 years ago
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