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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.
Find g(f(h(-3))). f(x) = 2x -- g(x) = -3x+4 -- h(x) = -2x-8
Logarithm form In this definition y = log b x is called the logarithm form Exponential form In this definition b y = x is called the exponential form.
4x/y-3x/y+5x/y-x/y
A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must
2.51 x 10^14 >
how quantitative analysis has changed the current scenario in the management world today
the kinetic energy of an object varies directly as the square of its velocity. A certain object traveling at 80 feet per second has a kinetic enrgy of 240 foot-pounds. what would b
larry has a propane tank in the shape of a cylinder with a hemisphere on each end, the total length of the tank is 16 feet. the width of the tank is 6 feet. he intends to paint the
There are several quantities out there within the world which are governed (at least for a short time period) by the equation,
f(-4)=-2-4=3
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