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sp2606 [1]
3 years ago
5

12 of 18

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

3x+3y and distributive property

Step-by-step explanation:

It is given that

Gretchen buys three bags of apples = 3X

Hayley buys three bunches of bananas = 3Y

As it is also mentioned that it first it is multiplied and then it is added

So, the expression for determining the total number of fruit pieces is

3X + 3Y

And, this expression denotes the distributive property in which we multiplied the each variable and then added it

You might be interested in
Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
3 years ago
Someone help pls I’ll mark brainliest if u give a small explanation! :)
marishachu [46]

Answer:

108 inches^2

Step-by-step explanation:

Multiple each side by 1.5

8x1.5=12

6x1.5=9

then to find the area, multiply the sides together.

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=2y%20%3D%20%28%20%5Cfrac%7B1%7D%7B%28%20%5Cfrac%7Bx%7D%7B3%7D%20%20%2B%203%29%7D%29%20%5E%7B2%
saw5 [17]
Your answer would be y= 1/18

5 0
3 years ago
6-3/4x+1/3=1/2 x+5<br> a.2<br> b.3<br> c.6<br> d.12
Gekata [30.6K]
6-3/4x+1/3=1/2x+5
6+1/3-5=1/2x+3/4x
4/3=5/4x
x=16/15
5 0
3 years ago
6/7 divided by 12 or 12/1
aksik [14]
 6/7 divided by 12/1 =
6/7 times 1/12=
6/84
1/ 14
6 0
3 years ago
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