Which of the following are solutions to the equation below?

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

C and F

Step-by-step explanation:

Given

(3x - 5)² = 19 ( take the square root of both sides )

3x - 5 = ± $\sqrt{19}$ ← note plus or minus

Add 5 to both sides

3x = ± $\sqrt{19}$ + 5 ( divide both sides by 3 )

x = ± $\frac{\sqrt{\sqrt{19}+5 } }{3}$

Separating the solutions

x = $\frac{\sqrt{19}+5 }{3}$ → C

x = $\frac{-\sqrt{19}+5 }{3}$ → F

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Step-by-step explanation:

Selling at a loss of 5% means it was sold for 95% of its purchase value.

If 120.175 equals to 95% then 100%(the purchase value) is 126.500.

120.175/95*100 = 126.500 (plenty of other ways to calculate this, but this is one of the easiest)

So now we change to the dealer's perspective, he sold the car for 126.500 and for him that meant a 15% profit. If the purchase value is 100%, then the sale value is 115% (purchase value+15% profit)

Calculate the purchase value:

126.500/115*100 = 110.000

The dealer bought the car for 110.000, sold it for 126.500, so he made a profit of 16.500 (126.500-110.000) which is a 15% profit (15% of 110.000 is 16.500).

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