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3 years ago

Find the sum 2n^3 +4n^2-7 and -n^3-8n-2

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

Answer:

$n^{3}+4n^{2}-8n-9$

Step-by-step explanation:

The only thing that you have to do is to add the different terms that have the same exponent and the same algebraic term.

$2n^{3} -n^{3}$ = $n^{3}$

$4n^{2}$

-8n

-7 -2= -9

After adding up the different terms:

$n^{3}+4n^{2}-8n-9$

Dominik [7]3 years ago

7 0

Answer:

top of fraction: -2(n^8+2)(n^3+8n+2)

bottom of fraction: n^5

Step-by-step explanation:

use PEMDAS for the first part of the equation, then for the other half multiply it by -1, then pull them back into the equation and solve, and you should get the answer above the way i did it, if not then hope you find another person who is correct, remember i'm a student as well i'm not perfect

-Deuce

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The following set of coordinates represents which figure?

Bas_tet [7]

C. Rhombus good luck

5 0

4 years ago

(2.3)(-0.5) and show your work THNX!

mamaluj [8]

(2.3)(-5.0)
-(2.3x0.5)
=-1.15 or as a fraction -23/20

Hope this helps

8 0

3 years ago

Find the next number in the following pattern: 1 5 3 7 5 9 7 ...

daser333 [38]

Answer: The next number in the given pattern is 11.

Step-by-step explanation: We are given to find the next number in the following pattern :

1 5 3 7 5 9 7 . . .

Let a(n) denotes the n-th number of the give pattern.

Then, we see the following rule if followed by the consecutive terms :

$a(1)=1\\\\a(2)=5=1+4=a(1)+4,\\\\a(3)=3=5-2=a(2)-2,\\\\a(4)=7=3+4=a(3)+4,\\\\a(5)=5=7-2=a(4)-2,\\\\a(6)=9=5+4=a(5)+4,\\\\a(7)=7=9-2=a(6)-2,~~~.~~~.~~~.$

Therefore, the next term will be the sum of the 7-th number and 4. That is

$a(8)=a(7)+4=7+4=11.$

Thus, the next number in the given pattern is 11.

7 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the points (−15,−1) and (10,4).

grin007 [14]

Answer:

$y = \frac{1}{5} x + 2$

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

Slope

$= \frac{4 - ( - 1)}{10 - ( - 15)}$

$= \frac{4 + 1}{10 + 15}$

$= \frac{5}{25}$

$= \frac{1}{5}$

Substitute m= ⅕ into the equation:

y= ⅕x +c

To find the value of c, substitute a pair of coordinates.

When x= 10, y= 4,

4= ⅕(10) +c

4= 2 +c

c= 4 -2

c= 2

Thus, the equation of the line is y= ⅕x +2.

4 0

3 years ago

Complete the square x^2-10=16

Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

(x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0

3 years ago