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Afina-wow [57]
3 years ago
7

Slope 6; through (0,4)

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

Y=6X+4

Step-by-step explanation:

Para este ejercicio solo disponemos de dos datos conocidos que son la pendiente que es 6 y un punto de la recta (0,4)

Para hallar la ecuación de la recta usaremos la conocida ecuacion punto pendiente:

Y-Yo=m(X-Xo)

Donde Xo y Yo son respectivamente las coordenadas del punto dado (0,4)

Xo=0

Yo=4

m=6----> m es la pendiente

Entonces remplazamos

Y-4=6(X-0)------>Remplazamos los valores dados

Y-4=6X-0-------->Destruimos los parentesisi aplicando distributiva

Y=6X+4 ----------->Finalmente despejamos el 4 que acompaña a la Y

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Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym co
Juli2301 [7.4K]

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  y = 10x + 30. comparing this model to the equation of a straight lines  we can get the y- intercept

y = 10x + 30\\\y= mx+c

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

5 0
3 years ago
How many hundreds in 43617
Nana76 [90]
There are 436 hundreds in 43617.
You can find this by dividing 43617 by 100 and rounding down to the nearest whole number (note: with this method, you have to round down).

Hope this helps :)
7 0
3 years ago
Read 2 more answers
PLEASE HELP!
vitfil [10]

Answer: c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

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3 years ago
Choose the correct way to end the sentence.<br><br> The lines 2x + 4y = 32 and y = –1/2x + 16 are
Vlad1618 [11]
The two line are Parallel
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