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EastWind [94]
3 years ago
14

Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9 Find the slope of the line 2

x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12). m=____ What would the parallel slope be? m=______ Use the slope to find the y-intercept of the parallel line. b= _____
Mathematics
2 answers:
lilavasa [31]3 years ago
8 0

Answer:

Step-by-step explanation:

AnnZ [28]3 years ago
5 0

Answer:

Step-by-step explanation:

2x - 3y = 9

-3y = -2x + 9

y=\frac{-2}{-3}x + \frac{9}{-3}\\\\y=\frac{2}{3}x-3\\

Parallel lines have same slope.So,

Slope m = 2/3

(4 , -1)

Equation: y - y1 = m(x - x1)

y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}

b = -11/3

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I thought of an integer.if i multiply it by itself you will get 9.What is my number
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What would y be if 8x-6y=36
kondor19780726 [428]

Answer:

\quad y=-\frac{2\left(-2x+9\right)}{3}

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8x-6y-8x=36-8x

2. Simplify:

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8 0
3 years ago
The average number of customers per day at a home improvement store is given in the following table. Let x represent the day whe
nika2105 [10]

Answer:

A. 33.690\sin (0.887x + 1.337) + 81.684.

Step-by-step explanation:

We are given that,

x = Number of days where 1 = Sun of 1st week and 7 = Sat of first week.

The corresponding table for the data is given by,

Days        Day Number               Number of Customers

Sun                    1                                     115

Mon                   2                                     77

Tue                    3                                     60

Wed                   4                                     51

Thur                   5                                     68

Fri                      6                                      86

Sat                     7                                      120

The general form of the regression model is a\sin (bx+c)+d.

Using the sinusoidal regression calculator, we get that,

a = 33.690

b = 0.887

c = 1.337

d = 81.684

That is, the sine regression model is 33.690\sin (0.887x + 1.337) + 81.684.

Thus, option A is the sine regression model for the given data.

6 0
3 years ago
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