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2 years ago

If f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)

Mathematics

1 answer:

kvasek [131]2 years ago

3 0

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

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Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What

marissa [1.9K]

Answer:

The velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is $x-y$

and with wind is $x+y$ therefore

$x-y=720$ ------------(1)

$x+y=1000$ ---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

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3 years ago

How long did it take the airplanes to reach 12,000 ft?

Svetach [21]

Answer:it didnt

Step-by-step explanation:

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4 boys have brown hair

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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