All categories

3 years ago

The polynomial x3+8 is equal to

Mathematics

2 answers:

aev [14]3 years ago

4 0

Answer:

Polynomial (x + 2) (x² − 2x + 4 ).

Step-by-step explanation:

Given : x³+ 2³.

To find : Solve .

Solution : We have given that x³+ 2³.

By the cubic formula : a³ + b³ = (a + b) (a² − ab + b² ).

Then

x³+ 2³ = (x + 2) (x² − 2x + 2² ).

x³+ 2³ = (x + 2) (x² − 2x + 4 ).

Therefore, Polynomial (x + 2) (x² − 2x + 4 ).

s344n2d4d5 [400]3 years ago

3 0

The polynomial x3+8 is equal to (x+2)(x2-2x+4)

You might be interested in

Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gin

weqwewe [10]

Solve using equations:

Gina 11 = a+b+c
Sam 27 = 2a+3b+2c
Robby 19= a+2b+2c

Gina *2 give 22=2a+2b+2c (subtract this from Sam to give)
b=5

the subtract Robby from Gina *2 to give a=3

[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
[equation d] c + t = 8

if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11

Now we can subtract [e] from [d] to solve for t:
t = 3

Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5

So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)

6 0

2 years ago

Read 2 more answers

The slope of a line parallel to y=2x+1 is 2

Ann [662]

Yes. Parallel means same slope as original line. So it’s 2

7 0

2 years ago

Anybody can help?????

Vikentia [17]

The formula of an area of a circle:

$A=\pi r^2$

r - a radius

We have r = 14m. Substitute:

$A=\pi\cdot14^2=196\pi\ m^2$

If you want an approximate area, you can accept $\pi\approx3.14$

Then:

$A\approx196\cdot3.14=615.44\ m^2$

7 0

3 years ago

A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed

musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

$\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.$

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.

4 0

3 years ago

Of interest is to test the hypothesis that the mean length of all face-to-face meetings and the mean length of all Zoom meetings

Goshia [24]

Answer:

Null hypothesis: $\mu_1 = \mu_2 = ..... \mu_j , j =1,2,....,n$

Alternative hypothesis: $\mu_i \neq \mu_j , i,j =1,2,....,n$

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

Step-by-step explanation:

For this case we wnat to test if all the mean length of all face-to-face meetings and the mean length of all Zoom meetings are the same. So then the system of hypothesis are:

Null hypothesis: $\mu_1 = \mu_2 = ..... \mu_j , j =1,2,....,n$

Alternative hypothesis: $\mu_i \neq \mu_j , i,j =1,2,....,n$

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

6 0

3 years ago