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lyudmila [28]
3 years ago
11

Find the value of x and check the solution.5 + 4x = -11​

Mathematics
2 answers:
tankabanditka [31]3 years ago
8 0

Answer:

x=-4

Step-by-step explanation:

5+4x=-11

4x=-11-5

4x=-16

x=-16/4

x=-4

5+4(-4)=-11

5-16=-11

-11=-11

Butoxors [25]3 years ago
5 0

Answer:

x = -4

Step-by-step explanation:

5 + 4x =  -11

4x = -11 - 5

4x = -16 (Divide 4 both sides)

x = -4

5 + 4x =  -11

5 + 4(-4) = -11

5 - 16 = -11

-11 = -11

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Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx+b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

(0,1)\\(1, -2)

We found the slope:

m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3

So, the equation is of the form:

y = -3x + b

We substitute a point to find "b":

1 = -3 (0) + b\\1 = b

Finally, the equation is:

y = -3x+1

Answer:

Option C

8 0
3 years ago
A line includes the points (7,4) and (8,6). What is it’s equation in slope- intercept form?
coldgirl [10]

Answer:

Step-by-step explanation:

First you have to find the slope

M= y2-y1/ x2-x1.

6-4 / 8-7 = 2/1 or 2

Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.

I will choose (6,4)

Slope intercept formula is y-y1 =m(x-x1)

Y-4=2(x-6)

Then you simplify.

Y-4=2x-12

+4. +4

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3 years ago
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ANTONII [103]

<u><em>Answer:</em></u>

<u><em>y = 50</em></u>

<u><em>Step-by-step explanation:</em></u>

<u><em>Since 20 is even with 100, all we have to do is multiply both sides by 5.</em></u>

<u><em>(5 × 20%) × y = 10 × 5</em></u>

<u><em>y = 50</em></u>

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5 0
2 years ago
Read 2 more answers
The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

b) r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

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3 years ago
7. how many tiles measuring
Margaret [11]

Answer:

245 tiles

Step-by-step explanation:

1 meter = 100 cm

Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²

Area of each tile = 20cm x 20cm = 400 cm²

Total number of tiles required = 9800/400 = 245

<u>Note</u>

Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles

17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252

5 0
2 years ago
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