All categories

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Mathematics

2 answers:

hoa [83]3 years ago

8 0

Answer:

y = -x+3

Step-by-step explanation:

Slope intercept form => y = mx+b

To find 'm', the slope, pick 2 coordinates.

(0,3)

(2,1)

Use this equation to find the slope using these 2 coordinates: (y1 - y2)/(x1 - x2)

(3 - 1)/(0 - 2) = -1

m = slope = -1

'b' is the y-intersept, or the point when a line passes through the y-axis. That's (0,3).

b = y-intercept = 3

<em>So the equation will be y = -1x + 3, or y = -x + 3</em>

ser-zykov [4K]3 years ago

5 0

The answer above me is correct

You might be interested in

Where the numerator is larger than the denominator

gregori [183]

A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction.

4 0

3 years ago

Read 2 more answers

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

3 years ago

You want to convert 1 Kilogram to milligrams. You already know that 1 kilogram = 1,000 grams. Explain how knowing hat 1 gram = 1

Alenkasestr [34]

The answer Is one million milligrams (tongue twister) to find this out you simply know that a kilogram is 1000 times a gram and a gram is a thousand times a milligram.
1000x1000= 1,000,000
Your welcome.
BRAINLIEST PLEASE

4 0

3 years ago

Determine the value of x, using the following transversal. The value of x is

madam [21]

Answer:

x = -10

Step-by-step explanation:

x + 75 + x + 125 = 180 as supplementary (same side interior angles)
2x + 200 = 180
2x = -20
x = -10

3 0

2 years ago

Read 2 more answers

2 5/12 x 2 2/3<br><br> pls helpp

MA_775_DIABLO [31]

Answer: 58/9

Step-by-step explanation:

5 0

2 years ago