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aalyn [17]
3 years ago
14

Help so the numbers I wrote are the options ​

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

The value of discriminant = 25

It has two different x-intercepts

It has two zeroes -1/3 and -2

Step-by-step explanation:

∵ f(x) = ax² + bx + c

∵ The discriminant = b² - 4ac

∵ f(x) = 3x² + 7x + 2

∴ The value of discriminant = 7² - 4(3)(2) = 49 - 24

                                             = 25

∵ The value of discriminant > 0

∴ f(x) has two different roots

∴ It has two different x-intercepts

∵ f(x) = 0

∴ 3x² + 7x + 2 = 0

∴ (3x + 1)(x + 2) = 0

∴ 3x + 1 = 0 ⇒ 3x = -1 ⇒ x = -1/3

∴ x + 2 = 0 ⇒ x = -2

∴ It has two zeroes -1/3 and -2

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Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. Th
german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied.

To Find: How many wins and how many ties did the team​ have.

Solution:

let the number of wins hockey team have =\text{x}

let the number of ties hockey team have   =\text{y}

Now,

Hockey teams receive 2 points when they win and 1 point when they tie.

2\text{x}+\text{y}=66

They won 12 more games than they tied

\text{x}-\text{y}=12

Solving both equations we get

\text{x}=26

\text{y}=14

Hence, the hockey team have 26 wins and 14 ties.

3 0
3 years ago
Customers arrat a service window according to a poisson process with an average of 0.2 per minute.
suter [353]

Answer:

Step-by-step explanation:

Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute

=  12 per hour.

a)  the probability that the time between two successive arrivals is less than 6 minutes

= For one hour more than 60/6 =10 customers arrive.

P(X>10) = 0.6528

b) Prob that there will be exactly three arrivals during a given 10-minute period

P(x=3) for average 2

= 0.1804

3 0
3 years ago
Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4
Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

five number summary: Minimum value= 1 , First Quartile = 4, Median = 5

Third Quartile  = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

1,2,2,4,4,4,5,5,5,5,6,6,7,8

Mean = sum of all numbers / total numbers

         = 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

         = 64 / 14

         = 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th  data i.e, 5 and 5

Median =(5+5)/2

           = 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number  = 1, Largest number = 8

Range= Largest number - Smallest number

        = 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by:  consider the data on right of the median and find median among them

7 0
4 years ago
Factor the expression.<br> 9y^2– 36
Nata [24]

Answer:

Answer: 9 (y - 2) (y + 2)

Step-by-step explanation:

Factor the following:

9 y^2 - 36

Factor 9 out of 9 y^2 - 36:

9 (y^2 - 4)

y^2 - 4 = y^2 - 2^2:

9 (y^2 - 2^2)

Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):

Answer: 9 (y - 2) (y + 2)

5 0
3 years ago
You are standing above the point (5,5)(5,5) on the surface z=15−(2x2+2y2)z=15−(2x2+2y2). (a) in which direction should you walk
Marianna [84]
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).

At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.

You can also go through vector calculus to arrive at the same result.

6 0
4 years ago
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