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4 years ago

Simplify the expression 6ab + 3ab - 7ab. What is the coefficient of the simplified expression?

2 answers:

8 0

Simplifying 6ab + 3ab - 7ab
so we can write it
6ab + 3ab - 7ab = 0 ( because there is nothing on right side )
9ab - 7ab = 0
2ab = 0
So the coefficient of ab is 2.

Correct option is C.

loris [4]4 years ago

7 0

To simply to expression 6ab+3ab-7ab, we do:
6ab+3ab-7ab+= (Just do regular addition and subtraction if they have the same coefficent)
9ab-7ab=
2ab
So the answer is C.

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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth

taurus [48]

Answer:

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

$y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\$

It is a homogeneous solution:

$y_h(t)=c_1e^{-2i t}+c_2e^{2i t}$

Now, we finding a particular solution.

$y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\$

we get

$y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

7 0

3 years ago

what equation in slope intercept form for the line that passes through point (8,-3) and has a y intercept of -2

JulijaS [17]

Answer:

y=-8x-2

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.

3 0

4 years ago

Does anyone know how to do these? I don’t want the answers I need someone to explain how to do them so I can solve it. Thanks

ElenaW [278]

Hi! This type of equation is actully really simple to solve once you learn how so I'll only do a few and let you solve the rest.

To solve 3x + 6 = 18 you just need to remember that whatever action you do on one side of the equal sign you have to do on the other as well, and you just need to get the variable isolated on one side and the constant on the other.

So subtract 6 from both of the constants (6 and 18) to get to 3x = 12.

Then divide both sides by 3 to isolate x and you get x = 4.

To solve x/7 -9 = -7 you have to add 9 to both sides to get x/7 = 2. Then because it's a fraction with a denominator of 7 you multiply both sides by 7 to get x = 14.

To solve 8x - 2x = -36 you combine like terms to get 6x = -36 then divide both sides by 6 to get x = -6.

Hope this is what you were looking for and explained in an understandable way, if not I apologize. :)

5 0

3 years ago

What's the lcm of 24 and 30

taurus [48]

Answer:

120

Step-by-step explanation:

The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.

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3 years ago

The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.

Mademuasel [1]

Look take a picture of your problem and Brainly will get the answer for u just like that within 3 seconds

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3 years ago