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If we were to graph the number it would be:
y = x
If we were to graph the square it would be:
y = x²
The difference would be:
f(x) = x - x²
You want to maximize this difference, so take the derivative:
f'(x) = 1 - 2x
Then set it to zero:
0 = 1 - 2x
Add 2x to both sides:
2x = 1
Divide both sides by 2:
x = ½
Answer: ½ is the number that most exceeds its square.
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What number most exceeds its square?
If we were to graph the number it would be: y = x If we were to graph the square it would be: y = x² The difference would be: f(x) = x - x² You want to maximize this difference, so take the derivative: f'(x) = 1 - 2x Then set it to zero: 0 = 1 - 2x Add 2x to both sides: 2x = 1 Divide both sides by 2: x = ½ Answer: ½ is the number that most exceeds its square.
Three times the square of a certain positive number exceeds six times the number by nine Find the number?
The problem can be written as3x2 = 6x + 9x is the number we want to findSolution:x2 = 2x + 3x2 - 2x - 3 = 0(x-3)(x+1) = 0x = -1, 3
How do you figure out a number is a square number?
If the square root is an integer, it's a square number.
Is the square root of a positive number an irrational number?
Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).
The square of 9 more than a number is equal to 9 more than the square of the number?
The square of 9 more than a number is equal to nine more than the square of a number. What is the number?
What is the first prime number whose square exceeds 1000?
31 squared = 961. 32 squared = 1,024. The first prime number that is greater than 32 is 37. Therefore, 37 is the first prime number whose square exceeds 1,000.
What type of number has an odd amount of factors?
A square number.
What do you call a number that has an odd amount of factors?
A square number
If you have a circle and a square what is the maximum number of points of intersection that the shapes can share?
If the circle is inside the square, four.
Which country covers more than 6.5 million square miles?
Russia just barely exceeds that number, and it's the only one.
What number most exceeds its square?
If we were to graph the number it would be: y = x If we were to graph the square it would be: y = x² The difference would be: f(x) = x - x² You want to maximize this difference, so take the derivative: f'(x) = 1 - 2x Then set it to zero: 0 = 1 - 2x Add 2x to both sides: 2x = 1 Divide both sides by 2: x = ½ Answer: ½ is the number that most exceeds its square.
What do you call a number with a odd amount of factors?
A perfect square
What is the maximum number of points of intersection between a circle and a square that lie in the same plane?
8
How many number of factors do square roots have?
There's no set amount.
What is a number that is the rsult of a number multiplied by itself that also has an odd amount of factors?
A perfect square
A number exceeds its square root by 56.what is number?
"7" is the number because its square root is "49" & 49+7=56
When a dihybrid cross is fit into a punnedd square with 16 boxes the maximum number of different phenotypes available is what?
The maximum number of different phenotypes available in a dihybrid cross with 16 boxes in a Punnett square is 4. This is because there are four possible combinations of alleles for two traits that can segregate independently.
