All categories

3 years ago

Solve the equation (If possible please show work)

Mathematics

2 answers:

Kryger [21]3 years ago

5 0

Answer:

x = 0

Step-by-step explanation:

First, distribute the -4 to the parentheses:

-4 + 3x = 2x - 4(1 - 3x)

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x

Novay_Z [31]3 years ago

5 0

Answer:

x=0

Step-by-step explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

-4 + 3x= 2x-4(1-3x)

First, distribute the -4. Multiply each term inside the parentheses by -4.

-4+3x=2x + (-4*1) + (-4*-3x)

-4+3x= 2x -4 + (-4*-3x)

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x) is x=0

You might be interested in

I need help pls thank you and I'll send better pics

kakasveta [241]

$\begin{gathered} c)\text{ output = (input}\times\text{ input) }+\text{ 1} \\ d)\text{ output = input + 5} \end{gathered}$

Explanation:

$\begin{gathered} c)\text{ Change in input = 4 - 3 , 3 - 2, 2 -1 } \\ \text{change in input = 1 (it is constant )} \\ \text{The output depends on the input.} \end{gathered}$ $\begin{gathered} To\text{ get output 2: (1 }\times1\text{ )+ 1 = 1 +1 = 2} \\ To\text{ get output 5: (2}\times2)\text{ + 1 = 4 + 1 = 5} \\ To\text{ get output 10: (3}\times3)\text{ + 1 = 9 + 1 = 10} \\ To\text{ get output 17: (4}\times4)\text{ + 1 = 16 + 1 = 17} \\ To\text{ get output 26: (5}\times5)\text{ + 1 = 25 + 1 = 26} \end{gathered}$ $\begin{gathered} \text{Formula for the Process = (input}\times\text{ input) }+\text{ 1} \\ Process=(input)^2\text{ }+\text{ 1} \\ \text{output = (input}\times\text{ input) }+\text{ 1} \end{gathered}$

$\begin{gathered} d)\text{ rate of change = }\frac{change\text{ in output }}{\text{change in input}} \\ \text{rate of change = }\frac{-5-(-15)}{0-(-2)}\text{ = }\frac{10-(-5)}{3-0}\text{ = }\frac{15-10}{4-3} \\ \text{rate of change = }\frac{10}{2}\text{ = }\frac{15}{3}=\frac{5}{1} \\ \text{rate of change = 5} \end{gathered}$ $\text{output = input + 5}$

5 0

1 year ago

Please help<br><br>15 points bc I’m new and only have like 50. I’ll also give branliest

Veronika [31]

It’s 12

On the first side (smaller triangle/ ABC) the give you one side that equals 4 and on the next triangle (bigger triangle/ DEF) it’s 8 meaning you’re going to multiply each corresponding side by 2

6 0

1 year ago

NEED ASAP!!!! A linear equation is represented by y = x + 3. The graph of which equation would be parallel to that of the equati

Gemiola [76]

Answer:

D. y = x - 3

Step-by-step explanation:

Parallel lines are when 2 lines have the same slope but different y-intercepts.

3 0

3 years ago

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$