All categories

3 years ago

Write the equation of the line that is parallel to the x-axis and goes through the point (1, 4).

Mathematics

2 answers:

EastWind [94]3 years ago

8 0

Answer:

y =4

Step-by-step explanation:

Parallel to x axis means a horizontal line

Horizontal lines are of the form

y =

Since it goes through the point (1,4)

y =4

enyata [817]3 years ago

6 0

Answer:

y=4

Step-by-step explanation:

A line that is parallel to the x-axis would have an equation of y= ______.

This is because a horizontal graph has a gradient of zero, thus the value of m in y=mx+c is zero.

y=0x +c

y= c

Since it passed through the point (1,4):

When x=1, y=4,

4= 0(1) +c

c= 4

Thus, the equation of the line is y=4.

You might be interested in

Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A r

liberstina [14]

Answer:

90 degrees

Step-by-step explanation:

8 0

2 years ago

Hello!!:) <br> Please help me answer 1-6 will give brainlst <3

scZoUnD [109]

Answer:

Hi how are you doing today Jasmine

3 0

2 years ago

Read 2 more answers

The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data

Makovka662 [10]

Answer:

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

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

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

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

Where:

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

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

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

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

And we can find the intercept using this:

$b=\bar y -m \bar x$

And the model obtained for this case is:

$y = -3.4 +5.2 x$

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.

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 this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0

2 years ago

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

Degger [83]

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

$a_n = a_{n-1}+d$

Given

5,-1,-7,-13,-19

Here

$a_1 = 5\\a_2 = -1\\a_3 = -7$

First of all we have to find the common difference of the sequence.

So,

$d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6$

Putting the value of d in the general recursive formula

$a_n = a_{n-1}-6$

Hence,

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

You can save up money to pay for the computer later, or you can use a credit card to pay for it now.

KiRa [710]

Response:

Personally, I would save up and pay for the computer. If I need the computer right away or for a good reason, yes I will use a credit card to buy the computer.

On the other hand, if I don't need it at the moment, I will save up to buy it later and would probably save anyway because it's easier than stacking up on my credit card depending on how much I use my credit card.

(This was a quickly made response, adjust it anyway you would like and if it doesn't fit the question than it is perfectly OK to not use it!)

9 0

2 years ago