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r-ruslan [8.4K]
2 years ago
5

5x -9=2y por suma y resta ecuacion

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0
Multiplica los números: 5x-9=2y
-45=2y
2y=-45
Y=-45/2
Ecuación:
5x-9=2y
-45=2y
2y=-45
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Mr. Zero bought a number of gold pieces for $60. He kept 15 of them and sold the rest for $54. He made a profit of $0.10 on each
Reil [10]

Answer:

c

Step-by-step explanation:

3 0
4 years ago
Find dy/dx by implicit differentiation for ysin(y) = xcos(x)
tatyana61 [14]

Answer:

\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}

Step-by-step explanation:

So we have:

y\sin(y)=x\cos(x)

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]

Let's do each side individually.

Left Side:

We have:

\frac{d}{dx}[y\sin(y)]

We can use the product rule:

(uv)'=u'v+uv'

So, our derivative is:

=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]

We must implicitly differentiate for y. This gives us:

=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]

For the sin(y), we need to use the chain rule:

u(v(x))'=u'(v(x))\cdot v'(x)

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})

Simplify:

=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}

And we are done for the right.

Right Side:

We have:

\frac{d}{dx}[x\cos(x)]

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]

Differentiate:

=\cos(x)-x\sin(x)

So, our entire equation is:

=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}

And we're done!

5 0
3 years ago
Solve the system by subtitution y = 3x + 18 y = 5x
elena-14-01-66 [18.8K]

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

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simplify for x       x=9

3 0
3 years ago
Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed
pickupchik [31]
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Aleks04 [339]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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