1)( 15+cj)^3 for j = 5 and c = , ( 15+6*5)^3 = (45)^3 = 91125

The given ratio is 5:8, Write it as fraction then multiply the numerator and denominator with same number to get the fractions or ratios equivalent to the given one.

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<u>First</u><u> </u><u>equivalent</u><u> </u><u>ratio</u><u> </u><u>is</u><u> </u><u>10</u><u>:</u><u>16</u>


<u>Second</u><u> </u><u>equivalent</u><u> </u><u>ratio</u><u> </u><u>is</u><u> </u><u>20</u><u>:</u><u>32</u>


<u>Third</u><u> </u><u>equivalent</u><u> </u><u>ratio</u><u> </u><u>is</u><u> </u><u>25</u><u>:</u><u>40</u><u>.</u>
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
y=a.(X-x1)(X-x2)
x1 and x2 are x-intercepts
x1=-3
x2=1
other points: (-1,8) and (0,5)
y=a.(x+3).(x-1)
a=-2
f(x)= -2.(x+3)(x-1)