The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
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extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
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so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
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this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
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for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
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15 songs cost $9.75.
To find the cost of each song, divide the two numbers.
9.75/15 = 0.65
Each song costs $0.65.
For 18 songs,
18 × 0.65 = 11.7
18 songs cost $11.70.
To find the number of songs you can buy with $20 (x=number of songs),
0.65x = 20
x = 30.8
Since you're buying songs, you can only have a whole number. This means you must round down to 30.
You can buy 30 songs with $20.00.
Answer
Step-by-step explanation:
domain : red
range: blue
1/4 Is the answer I think, I know 2/5 is bigger than 1/3 for sure so it cant be 2/5