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2 years ago

5(x+1)+x=6x+5. Solve, please.

Mathematics

2 answers:

lara31 [8.8K]2 years ago

8 0

Answer:

x = All Real Numbers

Step-by-step explanation:

5x + 5 + x = 6x + 5

Subtract 5 from both sides

5x + x = 6x

Add the x

6x = 6x

x = Any number in the world

Hope that helps!

8090 [49]2 years ago

5 0

Answer:

6x+5=6x+5

infnite soultins but i simplified

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The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month. Assume that this mean was base

Effectus [21]

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

8 0

3 years ago

Which is greater 8.016 or 8.16

shusha [124]

8.16 because .016 is not as close to a whole as .16

7 0

3 years ago

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benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to b

worty [1.4K]

Answer:

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

5 0

3 years ago

What is 312/17 in simplest form.

My name is Ann [436]

312/17
= (306+6)/ 17
= 306/17+ 6/17
= 18+ 6/17
= 18 6/17

The final answer is 18 6/17~

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3 years ago

Design a Roller Coaster Portfolio

scoray [572]

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is $y=3.57 x$

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

The slope of a function in a certain range is given by

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-coordinate

$\Delta x$ is the change in the x-coordinate

For the initial climb (pink line), we have:

$\Delta y = 250 - 0 = 250\\\Delta x = 70 - 0 = 70$

Therefore, the slope in this part is

$m=\frac{250}{70}=3.57$

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

$y=mx \rightarrow y = 3.57 x$

Again, to calculate the slope of the hill, we use:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-coordinate

$\Delta x$ is the change in the x-coordinate

For the green hill, we have:

$\Delta y = 60-200 = -140$

$\Delta x = 300-200 = 100$

So the rate of change is

$m=\frac{-140}{100}=-1.4$

As before, the rate of change of the hill is

$m=\frac{\Delta y}{\Delta x}$

For the blue hill, we have:

$\Delta y = 30-230 = -300$

$\Delta x = 200-60 = 140$

So the rate of change is

$m=\frac{-300}{140}=-2.1$

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

$|m| = 1.4$

For the blue hill:

$|m|=2.1$

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

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4 years ago

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