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Flauer [41]
3 years ago
5

Write the equation of the line that passes through the given points. (0.-2) and (-9.-6)​

Mathematics
2 answers:
sdas [7]3 years ago
4 0

Answer:

Step-by-step explanation:

First find the slope = rise/run = y2 - y1/x2 - x1

m = (-6 - 0)/(0 - 9) = -6/-9 = 2/3

Now we can substitute in the slope and either point to find b = y-intercept and write the equation:

y = mx + b

0 = 2/3(9) + b

0 = 6 + b

-6 = b

The equation is y = 2/3x -6.

kipiarov [429]3 years ago
4 0

Answer:

y= 4/9x - 2

Step-by-step explanation:

find slope by performing (y2-y1)/(x2-x1)

m=4/9

use point-slope formula with one of the points to figure out the equation of the line

y-(-2) = 4/9(x-0)

when put into slope intercept form the line is:

                             y= 4/9x - 2

HTH :)

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AlladinOne [14]

Answer:

(3x+1)

Step-by-step explanation:

So i start by the little 2 and then the 3 and then 19x +6

4 0
2 years ago
To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks. How many meters did Sonya swim in tho
Strike441 [17]

Answer:

Distance swam by Sonya in 3 weeks = 19740 m

Step-by-step explanation:

To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks.

Number of days in 1 week = 7

Number of weeks she swam = 3

Total number of days she swam = 3 x 7 = 21 days

Distance swam per day = 0.94 km

Total distance swam = Total number of days she swam x Distance swam per day

Total distance swam = 21 x 0.94 = 19.74 km = 19.74 x 1000 m = 19740 m

Distance swam by Sonya in 3 weeks = 19740 m

7 0
3 years ago
A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

5 0
3 years ago
a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long doe
bazaltina [42]

Answer:

110 = 12

110 + 110 + 110 + 110 = 440

so 110 × 4 = 440

4 × 12 =<em><u> 48 days</u></em>

hope this helps

5 0
3 years ago
if you had a cube with a side length of 4, how can you write the calculations in exponential form? what are 2 other ways to read
lesya692 [45]
4^3
You Would Write Is 4x4x4
You Would Verbally Say Four To The Third Or Four Cubed
5 0
3 years ago
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