3 years ago

The standard form of the equation of a parabola is y = 7x2 + 14x + 4. What is the vertex form of the equation?

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

The vertex of <span>y = 7x2 + 14x + 4</span> is at (-1,-3) (see attachment)

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3 years ago

A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done

Verdich [7]

Answer:

$2.70J$ .

Step-by-step explanation:

We have been given that a variable force of $3x^{-2}$ pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

We know that $dW=Fdx$ , where F represents force.

$dW=3x^{-2}dx$

Now, we will integrate both sides of equation as:

$\int\limits{dw} =\int\limits^{10}_1 {3x^{-2} \, dx$

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$\int\limits{1dw} =3\int\limits^{10}_1 {x^{-2} \, dx$

$w =3\int\limits^{10}_1 {x^{-2} \, dx$

Upon applying power rule of integrals, we will get:

$w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1$

$w =3[ \frac{x^{-1}}{-1} ]^{10}_1$

$w =3[ -\frac{1}{x} ]^{10}_1$

$w =3[ -\frac{1}{10} -(-\frac{1}{1})]$

$w =3[ -\frac{1}{10}+\frac{10}{10})]$

$w =3[\frac{9}{10}]$

$w=2.70$

Therefore, the work done by the object is $2.70J$ .

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3 years ago

Steps to put this in scientific notation<br><br> Stuck Need Help

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2.44141 x 10^26 hope that helps

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Step-by-step explanation:

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If she buys 20 pairs of socks and they are $3 each your answer would be $60!!!

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