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3 years ago

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics

1 answer:

Mrac [35]3 years ago

7 0

Answer:

2x + 3y - 5 = 0

Step-by-step explanation:

(4 , -1) & (-2,3)

$Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}$

m = -2/3; (4 , -1)

y - y1 = m(x - x1)

$y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}$

Multiply the equation by 3

3y + 3 = -2x + 8

3y = -2x + 8 - 3

3y = -2x + 5

2x + 3y - 5 = 0

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2 years ago

Skye made a deposit of $625 into an account that earns 4% simple interest for 6 years. How much did Skye earn in interest at the

tatuchka [14]

Answer:

She will earn 150$

Step-by-step explanation:

4% = 0.04

0.04 x $625 = 25

Now we divide 25 by the number of years, which is 6.

6 x 25 = 150$

Therefore, Skye earns 150$ from interest over the course of 6 years.

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2 years ago

G= {(-5,5), (6, 8), (-5, -5)}<br> What is the domain and range

blagie [28]

Answer:

I'm pretty sure domain is x and range is why which would mean that:

domain: -5,6

range: 5,8,-5

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)

6 0

1 year ago

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

tekilochka [14]

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

$\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84$

The formula for z-score:

$\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778$

6 0

3 years ago

The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont

navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

$\mu = 48, \sigma = 8, Z = -3$ .

Hence:

$Z = \frac{X - \mu}{\sigma}$

$-3 = \frac{X - 48}{8}$

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

6 0

1 year ago