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:
I am pretty sur it is 3
Step-by-step explanation:
Question 1:
For this case we have the following functions:
We must find
):
By definition we have to:
We substitute 
:
So, we have that 
Answer:
Question 2:
For this case we have the following functions:
We must find 
:
By definition we have to:
We substitute :
Answer:
Question 3:
For this case we must find the inverse of the following function:
To do this, we follow the steps below:
We change y for 
:
We exchange variables:
We clear the value of the variable "y":
We change y for 
:
Answer:
Answer:
a = 8 and b = 5
Step-by-step explanation:
A - B = 3
A + B = 13
2A = 16
A = 8
8 - B = 3
B = 5
Answer: 3/52
Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.
