All categories

2 years ago

3[-x + (2 x + 1)] = x - 1 what is x

Mathematics

1 answer:

Nataly_w [17]2 years ago

4 0

The answer you are looking for is x=-2.

Solution/Explanation:

Writing out the equation

3[-x+(2x+1)]=x-1

Simplifying inside of the brackets first

Combining like terms, since -x+2x=x

3(x+1)=x-1

*You can remove the parenthesis, if preferred.

Using the Distributive Property on the left side of the equation

3x+3=x-1

Now, subtracting the "x" variable from both sides

3x+3-x=x-x-1

"x-x" cancels out to 0.

3x+3-x=-1

Combining like terms and simplifying

3x-x+3=-1

2x+3=-1

Subtracting 3 from both sides of the equation

2x+3-3=-1-3

"3-3" cancels out to zero.

2x+0=-1-3

2x=-1-3

Simplifying the right side of the equation

2x=-4

Finally, dividing both sides by 2

2x/2=-4/2

Simplifying the final part of the problem

Since 2x/2=x and -4/2=-2

x=-2

So, therefore, the final answer is x=-2.

Hope that this has helped you. Good day to you.

You might be interested in

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of si

OverLord2011 [107]

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

$P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!$

a) The probability that exactly 3 arrivals occur during a particular hour is:

$P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\$

b) The probability that <em>at least</em> 3 people arrive during a particular hour is:

$P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938$

c) In this case, t=0.25, so we recalculate the parameter as:

$\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5$

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

$E(x)=\lambda=1.5$

3 0

3 years ago

As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports the

Nina [5.8K]

Answer:

Total = 36%

Step-by-step explanation:

Given

Company A = 0.15

Company B = 21%

Required

Determine the total revenue

Total is calculated as thus:

Total = Company A + Company B

Total = 0.15 + 21%

Represent 0.15 as %

Total = 0.15*100% + 21%

Total = 15% + 21%

Total = 36%

6 0

3 years ago

Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous

Dmitriy789 [7]

Answer:

Solution: $x=-\frac{1}{5}$ , $x=0$

Step-by-step explanation:

Given:

The rational equation to solve is given as:

$\frac{x}{6}=\frac{x^2}{x-1}$

Doing cross product, we get:

$x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}$

Now, for $x=0$ , the rational equation is equal to 0. So, $x=0$ is a solution.

Also, $x=-\frac{1}{5}$ is also a solution.

So, no extraneous solution.

4 0

4 years ago

3x+4y=8 please solve for Y

baherus [9]

Answer:

(8-3x)/4

Step-by-step explanation:

3x+4y=8

4y=8-3x

y=(8-3x)/4

So the answer is (8-3x)/4

4 0

3 years ago

Write 5x+y =6 in function notation let y represent the dependent variable.

Dmitry [639]

<span> the answer is f(x) = 5x + 6</span>

7 0

3 years ago

Read 2 more answers