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3 years ago

Which product of prime polynomials is equivalent to 4x°- 6x

Mathematics

2 answers:

AleksandrR [38]3 years ago

5 0

Answer:

the answer is O 2x (x2-1)(2x+ 3)

Tanya [424]3 years ago

3 0

Answer:

The correct answer is 2x^2(x^2 + 1)(2x - 3)

Step-by-step explanation:

First, you would factor out a single factor out of all of them, which is 2x^2. So, you would have 2x^2 (2x^3 - 3x^2 + 2x - 3) Then, you would use double grouping. When you have double grouped, you will have x^2(2x-3) and 1(2x-3) for the factors. The final factors for that is (x^2 + 1) and (2x - 3), then you would just put 2x^2 in the front to give you the final factorization and the correct answer stated at the top.

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While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: Th

alukav5142 [94]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data are not given.

I will use the following data as an illustration of how to calculate median and range.

We have:

$x: 11, 13, 14, 15, 18, 20$

Calculate range

Identify the highest and the least

$Highest = 20$

$Least = 11$

So, the range is:

$Range = Highest -Least$

$Range =20-11$

$Range =9$

Calculate the median

The number of data we are using is 6 (i.e. even).

So, the position of the median item is:

$Median =\frac{1}{2}(n+1)$

$Median =\frac{1}{2}(6+1)$

$Median =\frac{1}{2}*7$

$Median =3.5th$

A decimal result implies that the median is the mean of the integer values before and after the result.

In this case, the median is the mean of the item at 3rd and 4th positions.

So:

$Median = \frac{14+15}{2}$

$Median = \frac{29}{2}$

$Median = 14.5$

3 0

3 years ago

The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time

balandron [24]

Answer: 29 feet (deepest) at 6 am

21 feet (shallowest) at Midnight & Noon

Step-by-step explanation:

y = -4 cos (π/6)t +25

Amplitude (A) = 4

-A means it is a reflection over the x-axis (starts at minimum)

Period = 2π/B → Period = 12

Phase shift = C/B → Phase Shift = 0

Midline (D) = 25

Midline (D) ± Amplitude (A) = Max & Min

Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

x-value: Add C then divide by B
y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

$\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}$

5 0

4 years ago

Ratio equivalent to 3 : 4

Sever21 [200]

Answer:

8:6

Hope it helped. :)

3 0

3 years ago

Read 2 more answers

Scores on the final in a statistics class are as follows.

IgorLugansk [536]

Answer:

Kindly check explanation

Step-by-step explanation:

Calculate the 25th, 50th, and 75th percentiles.

b. Calculate the interquartile range.

c. Construct a boxplot. Are there any outliers?

Reordered data:

25, 40, 52, 55, 60, 70, 70, 72, 74, 75, 75, 80, 80, 85, 85, 86, 87, 90, 92, 99

25 th percentile :

1/4 (n + 1)th, tetm

n = 20

1/4(21) = 5.25th term

(5 + 6) th term / 2

= 65

50th percentile :

1/2 (n + 1)th, tetm

n = 20

1/2(21) = 10.5th term

(10 + 11) th term / 2

= 75

75th percentile:

3/4 (n + 1)th, tetm

n = 20

3/4(21) = 15.75th term

(15 + 16) th term / 2

= 85.5

Interquartile range :

Q3 - Q1

75th percentile - 25th percentile

85.5 - 65

= 20.5

25 is an Outlier

7 0

3 years ago

Desiree rented a bicycle for $16.50 per hour. Her total rental fee was $49.50. Write and solve a multiplication equation to find

xz_007 [3.2K]

Answer:

16.50x=49.50

x=3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers