If Paul mows the lawn once, he earns 1*25.50. If he mows it twice, he earns 2*25.50, and so on. So, he earns L*25.50. But, he spends 3.50. So the equation is:
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)
we just need the slope
take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1
the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation
solve for where y=x-1 and y=x-x² intersect
set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero
x-1=0
x=1
we got this point already
x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2
it intersects at (-1,-2)
And you know right this girl has how many years of the first type of quantity of correspond to one unit of the second type of quantity
Hey there!
To start, first set up your expression like this:
(5x+17)-(3x-4)
You must set up your expression like this since in subtraction, order matters and the problem asks for the difference between the first plant and the second plant, respectively, meaning you must follow in this order.
Now, simplify:
(5x+17)-(3x-4)
(5x+17)+(-3x+4)
2x+21
Therefore, the difference the two companies would be 2x+21.
<span>150+10c+150-10c=1.5(15-c)(15+c)300=1.5(225-c^2)300=337.5-1.5c^2200=225-c^2c^2=25c=5speed of current=5 mph<span>
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