All categories

3 years ago

Simplfy 6x + 7 – 2x + 2 +3x

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer:

6x + 7 - 2x + 2 + 3x 

 = 6x -2x + 3x +7 + 2

 9x - 2x + 9

 7x + 9 

 7x = -9

 x = -9/7 

hope it helps

You might be interested in

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

4 years ago

What is five to the second power in expanded form and standard

ad-work [718]

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Hi!! im new to this website:)

RoseWind [281]

Answer:

Step-by-step explanation:

Wassup

4 0

3 years ago

Read 2 more answers

3 to the x power - 1 = 9 to the x power+2

Tom [10]

So we need to solve:

3ˣ⁻¹ = 9ˣ⁺²

To do this, we need to have the same base for both sides of the equation.

So let's go with the base of 3.

3² = 9

3ˣ⁻¹ = (3²)ˣ⁺²

3ˣ⁻¹ = 3²ˣ⁺⁴

Since the bases are the same now, we need to get rid of them and we would get:

x - 1 = 2x + 4

Subtract both sides by 2x:

-x - 1 = 4

Add 1 to both sides:

-x = 5

Divide both sides by -1:

x = -5

8 0

3 years ago

The first two terms of an exponential sequence are 18 and 6. What are the next three terms?

sweet [91]

Answer:

The next three terms are 54, 162, 486

Step-by-step explanation:

Exponential sequences you multiply to find the next term

6 x 3 = 18 (to find the next term you can multiply the previous term by 3)

18 x 3 = 54

54 x 3 = 162

162 x 3 = 486

7 0

3 years ago