Raul's pet store has a play area that can fit up to 30 cats and dogs. His son is allergic to cats so the pet store never has mor
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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.
Answer:
3 years 8 month
Step-by-step explanation:
Given 7 years 6 months - 3 years 10 months
Step 1: Firstly we should subtract months from months then after from year to year.
Step 2: 6 months is less than 10 months so we have to borrow 1 year and add it to the months.
Step 3: Adding 1 year to 6 months we get 18 months.
Step 4: Now we have to subtract 3 years 10 months from 6 years 18 months.
Step 5: After subtracting we get 3 years 8 months.
Thus the answer is 3 years 8 months.