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Example: Solve following.
| 10 x - 3 |= 0
Solution
Let's approach this one through a geometric standpoint. It is saying that the quantity in the absolute value bars has a distance of zero from the origin. There is just one number that has the property and i.e. zero itself. Thus, we must have,
10x - 3 = 0 ⇒ x = 3/10
In this case we acquire a single solution.
Thus, if b is zero then we can just drop the absolute value bars and solve the equation. Likewise, if b is negative then there will be no solution to the equation.
To this point we've only looked at equations which involve an absolute value being equivalent to a number, however there is no cause to think that there ought to only be a number on the other side of the equal sign. Similarly, there is no cause to think that we can only have one absolute value in the problem. Thus, we have to take a look at a couple of these kinds of equations.
A company makes and sells notebook computers. The company’s cost function in thousands of dollars is C(x) = 0.3x + 100, and the revenue function in thousands of dollars is R(x) = 0
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-2
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A blue whale gains 2.3 tons a month for the first year of life. If a blue whale weighed 15 tons at birth, how much will it weigh on its first birthday?
Can you get me more questions to practice on this.
The reduced row echelon form of is equal to R = (a) What can you say about row 3 of A? Give an example of a possible third row for A. (b) Determine the values of
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I am finishing a quadratic equation problem and I am left with 3 plus or minus the square root of 361 all over 2. what next?
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