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soldier1979 [14.2K]
3 years ago
5

Alpha cube minus beta cube​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:

a³-b³=(a-b)³+3ab(a-b)

          or

(a-b)(a²+b²+ab

Step-by-step explanation:

:/

You might be interested in
At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the a
pickupchik [31]
Number of females = f
Total number of people in audience = n

0.4n = f
f + (f+ 100) = n
2f + 100 = n

Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n

2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500

There were 500 people in the audience.
3 0
3 years ago
When will dividing a whole number by a fraction result in a whole number answer? Explain.
Lubov Fominskaja [6]

Answer:

From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

Step-by-step explanation:

Lets look at a couple of examples

Example 1

4 ÷ 1/3

Copy dot flip

4 * 3/1 = 12

Whole number

Example 2

2 ÷11/12

Copy dot flip

2 * 12/11

24/11

11 goes into 24 2 times  

11*2 = 22  

24-22 =2

11 goes into 24  2 times with 2 left over,  The left over goes over the denominator.

2 2/11

2 2/11 is  a mixed number not a whole number

Example 3

8 ÷2/11

Copy dot flip

8 * 11/2

88/2

44


From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

5 0
4 years ago
−6(x+7) pls help me.
QveST [7]
The answer is -6x - 42
3 0
3 years ago
Read 2 more answers
Determine the x-intercept for 3x + 2y = 14. A) (7, 0) B) (0, 7) C) ( 14 3 , 0) D) (0, 14 3 )
Anettt [7]

Answer:

\large\boxed{C.\ \left(\dfrac{14}{3},\ 0\right)}

Step-by-step explanation:

\text{The x-intercept is for y = 0.}\\\\\text{Put y= 0 to the equation}\ 3x + 3y = 14:\\\\3x + 3(0) = 14\\\\3x + 0 = 14\\\\3x = 14\qquad\text{divide both sides by 3}\\\\x =\dfrac{14}{3}

4 0
3 years ago
Read 2 more answers
Draw a box and whisker plot for 23.5,18.2,3.3,23.3,11.3,18.8,78.8,69.1,2.2,16.1,54.9,44.8,37.4
k0ka [10]

Answer:

The box plot is attached below.

Step-by-step explanation:

A box plot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

1. Minimum (shown at the bottom of the chart)

2. First Quartile (shown by the bottom line of the box)

3. Median (or the second quartile) (shown as a line in the center of the box)

4. Third Quartile (shown by the top line of the box)

5. Maximum (shown at the top of the chart).

It can be said that the box and whisker plot provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data. Also in a boxplot outliers are marked as distinct points.

The data provided is:

S = {23.5, 18.2, 3.3, 23.3, 11.3, 18.8, 78.8, 69.1, 2.2, 16.1, 54.9, 44.8, 37.4}

Use the Minitab tool to form the graph.

The steps are as follows:

Step 1: Enter the data.

Step 2: Go to Graphs - Box plot. A dialog box will open.

Step 3: Select the graph labelled as "Boxplot– One Y, Simple"

Step 4:  A dialog box will open. Select the graph variable.

Step 5: Go to Data View. A dialog box will open.

Step 6: Select the values wanted. Click OK.

Step 7: Click “OK” in the window “Boxplot– One Y, Simple.”

The box plot is attached below.

6 0
3 years ago
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