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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.
the problem i -4x2y=12 4+8y=-24
Multiply a Row by a Constant. In this operation we multiply row i by a constant c and the notation will utilizes here is cR i . Note that we can also divide a row by a constant
Which of the following is a solution to the inequality y A.) (1,1) B.) (3,0) C.) (-3, 10) D.) (0,0)
Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 ft2. H
a^2-b^2-c^2-2bc
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Karen is 62 1/2 Inches tall . Her mother is 5 3/4 inches taller. How tall is Karen''s mother?
x-y=11 x+y=19
We now can also combine the two shifts we only got done looking at into single problem. If we know the graph of f ( x ) the graph of g ( x ) = f ( x + c ) + k will be the graph of
what is 10037+3443=
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