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satela [25.4K]
3 years ago
10

An older car weighs 2 tons. A newer model of the car weighs 40 pounds more than the previous model. How much does the newer mode

l of the car weigh?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
1 ton. = 2000 pounds
2 tons. = 4000 pounds _old model
4000+40=4,040 pounds_newer model

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
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Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

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<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

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\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

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Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

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