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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

500 Questions

What is the most successful solution or problem-solving methods for achieving a business objective?

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Problem-solving in business relates to establishing processes that mitigate or remove obstacles currently preventing you from reaching strategic goals. You can analyze the company's ups and downs. Visit SlideEgg! The problem-solving PowerPoint template is attractive and appealing to your audience and will help you create a winning presentation that will gain your audience's attention.

How would you write the expanded form of 8.049?

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8.049 = (8 x 1) . (0/10) + (4/100) + (9/1000)

What is a set that has no elements called?

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Empty Set

The expression x to the power of 2 - 2mx has a minimum value as x varies Find the minimum value of x to the power of 2 - 2mx and Give your answer in terms of m?

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If this is a homework question, please consider answering it on your own first, otherwise the value of the homework assignment, i.e. to reinforce the lesson, will be lost to you.

The minimum or maximum of a function y = f(x) can be found when the deriviative dy/dx f(x), or slope, is zero. In the case of a polynomial of degree two, which this question is, there is only one point where the deriviative is zero. In the general case of a polynomial of degree three or higher, however, any point where the slope is zero might only be a local minimum or maximum, so care must be taken. Also, you must always consider the second deriviative, in order to verify if that point is a minumum or a maximum.

The first deriviative of y = x2 - 2mx is 2x - 2m. (Remember, m is constant)

By simple algebra, the solution of 2x - 2m = 0 is x = m.

To determine if this is a minimum or a maximum, take the second deriviative.

The second deriviative of y = x2 - 2mx is the first deriviative of y = 2x - 2m, which is 2.

Since 2 is always positive, the slope is always increasing, so the point x = m is a minimum.

What is 230.071 in expanded form?

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230.071 = (2 x 100) + (3 x 10) + (0 x 1) + (0/10) + (7/100) + (1/1000)

What is 3 factorial times 6 factorial?

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3!=6

6!=720...

... 6*720=4320...

..

.

.

.

3!=123 &

6!=12345*6

What is least number you can divide by 5 to get a three digit quotient?

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500.

The smallest 3 digit quotient is 100, so 5 x 100 = 500.

How many tens go into 100000?

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Watch closely:

100,000 / 10 = 10,000

What does the k represent in the direct variation ykx?

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The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation .

What is linear foot of 18ft diameter circle?

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A linear foot is the same as a foot. So, an 18-foot diameter circle would measure 18 linear feet in diameter!

What does the value of an expression mean?

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If you replace variables in an expression by numbers (in case there are any variables) and then do the indicated operations, you get a number. That final number is the "value" of the expression.

What is an equation for a graph that is parallel to the graph of the equation y equals -0.5x plus 2?

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For graphs of parallel lines , the slope is ALWAYS the same, in this case, '-0.5'. However , the constant, '2' in this case, can be any numberyou like.

e.g.

y

= -0.5x + 1,000,000 are parallel lines.

Which equation has the same graph as 4x plus 8y equals 12?

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There is no equation on the list you're showing

that has the same graph as [ 4x + 8y = 12 ].