I can find a simplified expression for the perimeter of a square with a side length of (2x-4)
1 answer:
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Answer: option c.
Step-by-step explanation:
To solve the exercise you must apply the formula given in the problem, which is the following:
The problem asks for the projected population of Bakersfield in 2010.
Therefore, keeping on mind that <em>t </em>is th number of years since 1950, you have that:
Substitute the value of <em>t </em>into the formula.
Therefore, you obtain:
9514 1404 393
Answer:
(c) The solution -6 is an extraneous solution
Step-by-step explanation:
If you solve the equation graphically, you can avoid extraneous solutions. The true solution is x = -1.
You can tell from the equation that the domain will be restricted to values of x that make the radical non-negative:
x+4 ≥ 0 ⇒ x ≥ -4
Then x=-6 must be an extraneous solution. It arises when the negative square root is used.
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The conventional solution method has you square both sides and solve the resulting quadratic.
(x +4)² = x +10
x² +7x +6 = 0
(x +6)(x +1) = 0 ⇒ x = -6 or -1
The solution x=-6 is not in the domain, so is extraneous.
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<em>Additional comment</em>
Graphical solution is often easier if the equation is in the form f(x) = 0. That form can be had by subtracting one side of the equation from both sides. In the attached, we subtracted √(x+10) from both sides. (We added the negative branch of the square root function to show where the extraneous root comes from.)
