I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??​

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

26

the number line ticks count by 2

hope this helped :)

Answer:

17

Step-by-step explanation:

Let x be the number of books and y the number of CDs,

[tex]x+y=25\\[/tex]

The prices of the products are multiplied with the quantity bought, therefore:

[tex]1.5x + 5y = 65.50[/tex]

Multiplying the first equation by -5, then multiplying the two equations:

[tex]-3.5x=-59.5\\x=17[/tex]

9514 1404 393

Answer:

  25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

Additional comment

There are many ways you can arrive at this conclusion. Algebraically,  we can write ...

  a+b = sum

  a-b = difference

Adding these two equations gives ...

  2a = sum +difference

Multiplying by 1/2, we get ...

  a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

  b = a -difference = 1/2sum -1/2difference

Answer:

900,008,007

Step-by-step explanation:

first add 90000,1000 +7000=900,008,000

then add 7 with 900,008,000

Answer =900,008,007

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

Answer:

ITS A

Step-by-step explanation:

the y intercept is at positive 4 so y will be at 4

I want to say A, but at the same time, is the x in an absolute value function?

Answer:

The answer would be 6 and 4.

Step-by-step explanation:

Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.

x-2/2=3x+8/4

x-1=3x+2

-x. -x

-1=2x+2

-2. -2

-3=2x

÷2. ÷2

-3/2=x

Engineering has many applications in our country focused on the construction and development of new technological devices.

Engineering is a term that refers to the set of scientific principles necessary to design and build machines, structures, and others such as:

Engineering is characterized by:

According to the above, engineering has many applications in the country such as:

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9514 1404 393

Answer:

  p(x) = 3(x -2)^4(x +2) . . . in factored form

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96  . . . in standard form

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.

  p(x) = 3(x -2)^4(x -(-2))

  = 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)

  = 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)

  = 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96

9514 1404 393

Answer:

  2y +3 = 4y +2

Step-by-step explanation:

The left side shows 2y +3.

The right side shows 4y +2.

The scale is shown in balance, so we must have ...

  2y +3 = 4y +2 . . . . equation from the model

__

The solution can be found by subtracting 2y+2 from both sides to leave ...

  1 = 2y

Then we can divide both sides by 2 to find what y stands for:

  1/2 = y . . . . solution to the equation

Answer:

I'm too lazy to use a calculator but I'll explain the steps to you

Step-by-step explanation:

so basically all you have to do is you know that

volume=length*with*height

we already have the length and height

so do 7.5*5 on your calculator for me

and then divide that answer by 225

and then you will get your answer

excuse me for being lazy but at least I gave you your answer it's 4 am here

The solution of the equation in terms of z will be; z = 2x - 8/y

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the equation as;

2xy-yz=8

Now we have to solve for z;

2xy-yz=8

-yz = 8 - 2xy

Then divide by y on both sides;

z = 2xy/y - 8 / y

z = 2x - 8/y

Learn more about equations here;

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#SPJ2

Answer:

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

3. Points (-3, -2) and (3, 10)

The slope:

The y - intercept:

The line C is:

4. The rate of change is m = 2.5

The y- intercept:

The line D is:

5. Line E has a slope of 4, no sufficient info to conclude.

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

The line F is:

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Answer:

1.8 if its wrong im sorry

Step-by-step explanation:

Answer:

12 pounds

Step-by-step explanation:

gallon equals 4 quarts

1.5*4 equals 6

6 quarts times 2 pounds =2

Answer:Because

Step-by-step explanation:

Ima teacher

Answer:

50%

Step-by-step explanation:

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Answer:

5hj

m5Step-by-step explanation:

3/14   2/7 1/2

Step-by-step explanation:

divide all of them seprately to get your decimal amount

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.

Answer:

7.81

Step-by-step explanation:

Step-by-step explanation:

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Now, substitute the numbers into the equation,

[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]

distance = 7.81

brianlist me??

Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

If I helped you please let me know with a thank you, rating or brainly

<3Miss Hawaii<3

Answer:

15

Step-by-step explanation:

Cause 15.33 is closer to 15 than 16.

Answer:

15 is the answer I know I already told you but here it is again

Step-by-step explanation:

Maybe brainliest if I helped???

Its 15 because if the decimal after the whole number is less than 0.5 you go to the closest whole number down. Meaning whatever the whole number is attached to your decimal lower than 0.5 is your answer. If it's higher than 0.5 or IS 0.5 you round the nearest whole number, so one bigger than the number attached to your decimal. So if it was say:

15.67

The nearest whole would be 16

I hope I helped!

1 Large Salad uses 10 cherry tomatoes.

1 Small Salad uses 6 cherry tomatoes.

Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.

4 small salads: 4 x 6 = 24 cherry tomatoes.

Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.

I hope this has helped! :)

Answer:

He needs 84 cherry tomatoes.

Step-by-step explanation:

6 * 10 = 60 cherry tomatoes

6 * 4 = 24 cherry tomatoes

60 + 24 = 84 cherry tomatoes

Hope this helps!

Answer:

there are no like terms

Step-by-step explanation:

-x + 21 = -x + 21