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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.
Given f(x)= 2+3x-x 2 and g(x) =2x-1 evaluate ( fg ) ( x ) , (fog)(x) and (gof )(x) Solution These are the similar functions that we utilized in the first set of instances
A three-digit number between 600 and 700 is one less than 30 times the sum of the digits. Of the tens digit is one less than the unit digit, what is the number?
factor=(a+b2)+1
5x+2x-17=53
Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?
prescription has a 35% mark up with a 5.66 dispense fee one tablet is 15.70 and how much would 3 tablets cost?
how to do it
The record high temperature for Asheville, North Carolina was 99 degree Fahrenheit. The low record was -17 degrees Fahrenheit. What is the difference between these two temperatures
Remember that a graph will have a y-intercept at the point (0, f (0)) . Though, in this case we have to ignore x = 0 and thus this graph will never cross the y-axis. It does get e
what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3
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