Find the function by taking the integral of the derivative.
F(x)=52x2−2x+C
Let's assume
people were in the original group of winners as x
A group of winning ticket holders share equally 90,000,000 lottery
Before the money is divided, three more winning ticket holders are declared
so, total number of winning tickes =x+3
each persons share is reduced to 5,000,000
so, total money =5,000,000*(x+3)
and this must be equal to total money

now, we can solve for x
and we get

Subtrac both sides by 3


so,
number of people were in the original group of winners is 15 ...........Answer
D(7, 3), E(8, 1), and F(4, -1)
We calculate the squared distances between the points:



Since
we have a right triangle with hypotenuse DF.
Answer:
Non-linear equations:


Step-by-step explanation:
Linear equation: y = mx + b
Therefore, a linear equation has 2 variables that have no exponents.
So the non-linear equations are:
(this is a quadratic equation - polynomial with degree 2)
(this is an exponential equation)
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51