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8090 [49]
3 years ago
6

The assignment is about : Subtract Polynomials What i have to do : Subtract the polynomials, showing all the steps necessary to

write the answer in simplest form.
1. (3x^1 + 8) - (2x^2 + 1)

2. (5x^2 + 3x - 4) (x^2 - 6x )

please show work
Mathematics
1 answer:
lawyer [7]3 years ago
6 0
1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
    3x^1 + 8 - 2x^2 - 1....now combine like terms
    -2x^2 + 3x^1 + 7

2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
    5x^2 + 3x - 4 - x^2 + 6x...combine like terms
    4x^2 + 9x - 4
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The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plot
katovenus [111]

Answer:

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

4) The data for shelter B are a symmetric data set.

True, the median is exactly 2 pounds away from each quartile which means it is symmetric.

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

Step-by-step explanation:

We are given two box-plots, a box plot basically shows 5 statistical characteristics of a data set and they are  

1. minimum value  

2. Lower quartile  

3. Median value  

4. Upper quartile  

5. Maximum value  

Box-plot of dogs in shelter A:

The whiskers range from 8 to 30

Which means that the range is = 30 - 8 = 22

The box ranges from 17 to 28

Which means that the interquartile range is = 28 - 17 = 11

21 - 17 = 4

28 - 21 = 9

The median is not equal distance away from each quartile which means that the box-plot is not symmetric.

A line divides the box at 21

Which means that the median is = 21

Box-plot of dogs in shelter B:

The whiskers range from 10 to 28

Which means that the range is = 28 - 10 = 20

The box ranges from 16 to 20

Which means that the interquartile range is = 20 - 16 = 4

18 - 16 = 2

20 - 18 = 2

The median is exactly 2 pounds away from each quartile which means it is symmetric.

A line divides the box at 18

Which means that the median is = 18

Which is true of the data in the box plots?

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

2) The median weight for shelter B is greater than that for shelter A.

False

3) The data for shelter A are a symmetric data set.

False

4) The data for shelter B are a symmetric data set.

True

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

5 0
3 years ago
What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, o
Evgen [1.6K]

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

4 0
3 years ago
Complete the following statement.
solong [7]

Answer:

Hello dude

- 1 \frac{21}{24}  + 1 \frac{22}{24}  =  +  \frac{1}{24}

so it's positive

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

7 0
3 years ago
Nine times the sum of a number and 26 is at most -25
kobusy [5.1K]

Answer:

x ≤  -259/9

Step-by-step explanation:

Change into a number equation   9(x + 26) ≤ -25

3 0
3 years ago
Please solve these step-by-step!!
Ierofanga [76]

Answer:

For D. X= 3, or 0 but probably not 0

For the 2nd picture you sent,  x= -2, or -3

Step-by-step explanation:

So for D. you want to make sure you only have 1 Variable, and since we know y=x squared + 7x+5, we subsitute y for what it is equal to.

Then we refine the question, which takes it out to

x squared-3x+5=5 (because the 7x-10x = 3x)

We subtract 5 from both sides which leaves us with x Squared - 3x= 0

Which we then solve with the Quadratic formula. and we separate the solutions to get the different answers for 3, and 0

3 0
2 years ago
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