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:
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Answer:
<h3>Some Points about this Formula :- </h3>
- The formula given here is the definition of the derivative in calculus. The derivative measures the rate at which a quantity is changing.
- For example, we can think of velocity, or speed, as being the derivative of position - if you are walking at 3 miles (4.8 km) per hour, then every hour, you have changed your position by 3 miles.
<h3>To know the solution,Refer to the above attachment . </h3>
Answer:
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Step-by-step explanation:
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Let's calculate for the tablespoons of sugar to tablespoons of milk ratio for Mark, Sharri and Eve.
Mark: 3/2 = 1.5
Sharri: 4/3 = 1.3
Eve: 9/6 = 1.5
From the solution, Eve has an equivalent ratio to that of Mark's.
