If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *
1 answer:
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First, find the slope (m) = =
=
=
Now plug in ONE of the points and the slope into the point-slope equation:
y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.
y - 5 = (x - 1) (I used (1,5) as the chosen point)
3(y - 5) = x - 1
3y - 15 = x - 1
3y -14 = x
-14 = x - 3y → x - 3y = -14
Answer: x - 3y = -14
Answer:
I think you wanna know exactly it's graph
See f(x)= 2 e^x +3
e^x is exponential function which is always positive and so lies above x axis
Multiply by 2 make it's incrementation in slope and now it will pass through (0,2)
Also adding 3 shifts graph 3 unit above y axis
So Now it will pass through (0, 2+3) that is B) (0,5)
Now At x approaches to minus infinity it will shift 3 unit up from 0 to 3 So it will pass through (-infinity,3)
Now see the pic
