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3 years ago

How do you simplify this?

Mathematics

1 answer:

timama [110]3 years ago

4 0

Notice how the top is an addition of two cubes, namely x and 2.

You can rewrite the equation as:

$\frac{x^{3} + 2^{3}}{x + 2}$

Now, (a + b)³ can be simplified down to (a + b)(a² - ab + b²)
Following the same pattern, we get:

$\frac{(x + 2)(x^{2} - 2x + 4)}{x + 2}$
$= x^{2} - 2x + 4$

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he data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. {5, 3

sergeinik [125]

The best measure of center tendency for this set of data would be the median. It is the best measurement because the data set has an outlier. The outlier is the 30. So to find the median we first order the data set and then find out if the set is an even or odd set. This set is even so we just chose the middle number. If the set was even, we would add the two center number and divide them by 2.

3, 3, 4, 4, 4, 5, 5, 5, 30

The center tendency = 4

8 0

3 years ago

Read 2 more answers

A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commissi

nydimaria [60]

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is 26,000

the commission will be 26,000*0.1=2,600 dollars

3 0

3 years ago

PLEASE HELP I NEED TO PASS THIS CLASSS!!!!!!!!!!

Nuetrik [128]

Answer:

1, 2, 4

Step-by-step explanation:

The triangles are similar by AAA or SSS (yes)

The sides are proportional (yes)

The length of AB is 21, not 15 (no)

The length of BC is 9 (yes)

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5 0

3 years ago

Find the surface area of square pyramid someone help

IgorC [24]

Answer:

65 square units

Step-by-step explanation:

The base of the pyramid is 5 by 5 , surface area is 25 square units.

the side of each one is 4 units "high" and 5 long at the base and to find the are of a triangle you multiple base times height then dived by 2. Therefore each side of the triangle is 10 units square. You have 4 sides so...

40 (total of all the sides ) +25 ( base ) = 65

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3 years ago

(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.

frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)$

$m=\frac{2-\left(-1\right)}{10-6}$

Refine

$m=\frac{3}{4}$

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0

3 years ago