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Alina [70]
3 years ago
5

Find the equation in standard form , of the line passing through points (2,-3) and (4,2)

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

The form of linear equation that describes line is:

y=sx+n

First we must calculate the slope.

s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

Now it looks a bit more like this:

y=\dfrac{5}{2}x+n

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

-3=\dfrac{5}{2}\cdot2+n

Solve for n.

-3=5+n \\n=-8

And finally write the equation.

f(x)=\dfrac{5}{2}x-8

Hope this helps.

r3t40

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Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou
Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

<u>A)  find the linear demand equation</u>

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

<u>B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue</u>

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = -\frac{b}{2a}  = - \frac{41500}{2(-4500)} =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

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marusya05 [52]
Minus 12x both sides
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for 0=ax^2+bx+c
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given
5x^2-12x+9
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remember: i=√-1 

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Oceanside bike rental shop charges fourteen dollars plus nine dollars an hour for renting a bike . Jason paid fifty-nine dollars
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he payed 58 dollars to rent a bike for two hours because 40+9=49 & 49+9=58

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