the amount of water in a bathtube as it drains can be modeled by this equation with y representing the number of gallons of wate
r in the tub and x representing the time, in minutes, that the tube has been draining y=-7.3x+39.7 after how many minutes will the tub have 17.8 gallons of water remaining
1 answer:
Since 
is representing the number of gallons of water in the tub, we need to replace with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for 
to find the time:
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
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Answer:
y= -2x²+4x.
Step-by-step explanation:
the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.
1) the coordinates of the vertex are:
2) if according to the condition x₀=1, then b= -2a.
If according to the condition y₀=2, then
it means that c=a+2.
3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:
-6=3²*a-6a+a+2; ⇔ a= -2.
4) if a= -2, then b=-2a=4, and c=a+2=0.
5) if a=-2, b=4 and c=0, then the required equation of the parabola is:
y= -2x²+4x.