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Vadim26 [7]
3 years ago
13

Someone please help me I’m doing a test-

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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Determine the general solution of:<br><br> sin 3x - sin x = cos2x
SpyIntel [72]
Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
6 0
3 years ago
Use the Distributive Property to find<br> (y+6)(y + 4) = 0
Artemon [7]

Answer:

y=-6,\:y=-4

Hope it helps :)

3 0
4 years ago
Read 2 more answers
Marys Goal is to get 50,000 dollars. she got 5,000 from 5 days how many more days does it take for sherry to get 50,000 to achie
liubo4ka [24]

Answer:

50 days

Step-by-step explanation:

So she gets 5,000 for five days.  

Let's count up from 5 thousand until 50 thousand.

5,000

10,000

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

This means 5,000x10=50,000

10x5=50

4 0
4 years ago
Jim and his friends are celebrating Jim's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade
azamat

Answer:

K=144/18

8 kids

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, the equation would be K=144/18

If you're also going to find the number of kids, you would get 144/18 which is 8 {including Jim}.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0
3 years ago
Read 2 more answers
Tom has read the first 40 pages of a book. He plans to read another 12 pages each day Write an equation that represents the rela
fenix001 [56]

Answer:

p=12d+40

Step-by-step explanation:

-This is a linear relationship problem modeled as:

y=mx+c

where:

  • y is the quantity at variable x
  • m is the slope
  • c is the constant of increment or decrement.
  • x is the variation variable.

Given the constant 40, and 12 pages per day as the rate of change we substitute our variables in the form of the formula above as:

p=12d+40

4 0
4 years ago
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