Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7.88 per s
2 answers:
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ANSWER
D) 10
EXPLANATION
We want to solve the radical equation,
Square both sides,
Expand brackets on right hand side,
Rewrite in general quadratic equation form,
Factor to obtain,
Apply the zero product principle to get,
We put n=2 into the equation to get,
This statement is false, hence 2 is an extraneous solution
We put n=10, to get
This is true, hence the only solution is
D) 10
EXPLANATION
We want to solve the radical equation,
Square both sides,
Expand brackets on right hand side,
Rewrite in general quadratic equation form,
Factor to obtain,
Apply the zero product principle to get,
We put n=2 into the equation to get,
This statement is false, hence 2 is an extraneous solution
We put n=10, to get
This is true, hence the only solution is
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975