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Answer:
Equation of parabola is:
Step-by-step explanation:
By plotting a rough graph with the values given we get an opening upward parabola.
Standard equation for a parabola opening upwards is given by:
We can solve for a,b,c by substituting the given values of x and y.
Putting x=0 and y=-6 in the above equation,we get:
c = -6
Putting x=-2 and y=4, we get:
---------1
Putting x=4 and y=70, we get:
--------2
Solving equation 1 and 2, we get
a=4 and b=3
Hence
Answer:
(D). 28
Step-by-step explanation:
We have been given that the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number.
We know that smallest prime is 2. The product of 2 and 7 is 14.
Let us divide our given numbers by 14.
(A) 7.
The quotient is not a integer or prime number.
(B). 14
We know that 1 is not a prime number.
(C) 24.
The quotient is not a integer or prime number.
(D). 28
Since 2 is a prime number, therefore, 28 is the smallest integer that can be divided by the product of a prime number and 7 and yield a prime number.