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wolverine [178]
3 years ago
9

Solve the equation. –3x + 1 + 10x = x + 4

Mathematics
2 answers:
Dahasolnce [82]3 years ago
8 0

Answer:

x = 1/2 = 0.5

Step-by-step explanation:

We must solve x in the following equation:

–3x + 1 + 10x = x + 4

We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:

–3x + 1 + 10x -x = x + 4 -x

–3x + 1 + 10x -x  -1 = 4 -1

6x = 3

Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:

6x /6 = 3/6

x = 1/2 = 0.5

Natasha2012 [34]3 years ago
4 0
10x-3x= 8x

8x + 1 = x + 4

subtract x in both side

7x + 1 = 4

subtract 1 on both side

7x = 3

divide 7 on both side 

x = 3/7 

or 

.43 in decimal
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<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A coordinate plane. The x-axis and y-axis are each scaled by one.

A graph of a line goes through the points (0, 4) and (1, 6) will be

The equation of a line that is passing through the points (0, 4) and (1, 6) will be

y - 4 = [6 - 4 / 1 - 0] (x - 0)

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The graph is given below.

More about the linear system link is given below.

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2 years ago
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vagabundo [1.1K]
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3 years ago
How do I multiply indices
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A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13
Lunna [17]

Answer:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

And the slope would be:

m=6

The means for x and y are given by:

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

For this case we know that the line adjusted is:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0
3 years ago
Inez and Joe worked at store that sells cell phones.Inez worked for 7 hrs and 23 minutes and Joel worked for 4 hrs and 51 minute
Paul [167]

Answer:

Inez worked for 2 hours 32 minutes more than Joe

Step-by-step explanation:

Here, we are to calculate the difference in the amount of time in which both of them spent working.

Mathematically, that would be the time spent by Inez minus the time spent by Joe

= 7 hrs 23 minutes - 4 hrs 51 minutes

This works like normal arithmetic subtraction;

Since we cannot subtract 51 minutes from 23 minutes, we need to borrow 1 hour ( 60 minutes) from 7 , and it becomes 6 while our minutes become (60 + 23 = 83 minutes).

So the difference here will be (6-4)hrs and (83-51) minutes = 2 hrs 32 minutes

4 0
3 years ago
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