Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
1/5
Step-by-step explanation:
-4 next to x value means the graph is moved 4 units to the right
+5 on the end of the function means the graph is moved up 5 units
This is an equation of exponential decay
y(t) = a b^ t where a is the initial amount
b is the decay factor
t is the time in years
b is found by taking 1 and subtracting the percent it decreases in decimal form
Letting t =4
y(t) = 260 million * ( 1- .011) ^ 4
=248.7473796 million
=24874737.96
Rounding to a whole number
= 24874738
