Karen bought 6 CDs that were each the same price. Including sales tax, she paid a total of $71.40. Each CD had a tax of $1.10. W
1 answer:
Answer:
$10.80
Step-by-step explanation:
Given:
Total number of CDs = 6
Cost price (including tax) = $71.40
Each CD had a tax of $1.10
To find the price of each CD before tax Let's first find the price of each CD after tax.
Price after tax =
Price of each CD after tax = $11.90
Since each CD had a tax of $1.10, price of each CD before tax would be : $11.90 - $1.10 = $10.80
Therefore price of each CD before tax is $10.80
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Answer:
- top: no solution
- bottom: x = 7
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
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<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3
