3 years ago

HELP HWLP HELP please

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer: 12x

Step-by-step explanation: 3x times 4x = 12x

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Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of

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Jay bought a cell phone that was originally sold for $126. It was on sale for 33 1/3% off the original price. How much did he pa

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Solve the equation using square roots. Write your answer in simplest form.<br> Question in picture

GalinKa [24]

Answer:

The solutions to the quadratic equation involving square roots are:

$x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8$

Step-by-step explanation:

Given the equation

$\frac{1}{4}\left(x-8\right)^2+8=1$

subtract 8 from both sides

$\frac{1}{4}\left(x-8\right)^2+8-8=1-8$

$\frac{1}{4}\left(x-8\right)^2=-7$

$\left(x-8\right)^2=-28$

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

solving

$x-8=\sqrt{-28}$

$x-8=\sqrt{-1}\sqrt{28}$

$x-8=\sqrt{28}i$ ∵ $\sqrt{-1}=i$

$x=2\sqrt{7}i+8$

similarly solving

$x-8=-\sqrt{-28}$

$x-8=-2\sqrt{7}i$

$x=-2\sqrt{7}i+8$

Therefore, the solutions to the quadratic equation involving square roots are:

$x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8$

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3 years ago

The Serenity travels at 16 mph and the Mystic travels at 21 mph. How far apart will they be in 3 hours?

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Im assuming they are travelling in opposite directions. if so the combined speed = 37 mph so the distance between them after 3 hours is 3 * 37

= 111 miles Answer

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3 years ago

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soldi70 [24.7K]

Answer:

No solutions can be found

Step-by-step explanation:

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