Ask question

Ask question

All categories

4 years ago

9

What is the equation of the line described below written in slope-intercept form? the line passing through point (-1, 5) and par

allel to the line whose equation is x + y = 10

1 answer:

sergey [27]4 years ago

4 0

Given the line is parallel to x + y = 10, the two lines have the same slope. The slope of x + y = 10 is -1. The line should pass through point (-1, 5). Using the point-slope formula for a line: (y-y1) = m(x-x1) (y-5) = -(x+1) x+y = 4

You might be interested in

How can you prove someone is lying? my sister and i both got in trouble, i know i didn’t do anything so how can i show she’s lyi

kramer

You can prove someone is lying by taking a video of it

OR

You can drop something and blame it on your sister

OR

You can hit your head on the wall when she enters the room and blame it on her. haha!

5 0

3 years ago

Read 2 more answers

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

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

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

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,

bonufazy [111]

Approx. 11.244 million people

6 0

3 years ago

Read 2 more answers

Write the sentence as an equation. 323 decreased by d equals 369

jarptica [38.1K]

$323 - d = 369$

Thus, d has to be negative, and you get:

$-d = 46$
$d = -46$

3 0

4 years ago

Of the candy, 1/2 are skittles. 1/4 of the remaining pieces are Starbursts and 3/4 of the rest are life savers. The remaining pi

juin [17]

Answer:

The percentage of the total pieces are sour patch kids = $\frac{1}{3}$ × 100

= 33.33 %

Step-by-step explanation:

( $\frac{1}{2}$ ) x +( $\frac{1}{4}$ ) x +( $\frac{3}{4}$ ) x = 1

LCM = 4

{ $\frac{2 + 1 + 3}{4}$ } x = 1

$\frac{6}{4}$ × x = 1

$\frac{3 x}{2}$ = 1

3 x =2

∴ x = $\frac{2}{3}$

The remaining piece are sour patch kids

so 1 -( $\frac{2}{3}$ )

= $\frac{1}{3}$

The percentage of the total pieces are sour patch kids = $\frac{1}{3}$ × 100

= 33.33 %

5 0

4 years ago