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3 years ago

What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?

1 answer:

3 0

<span>6x^2 + 12x – 7 = 0

Use the quadratic formula:

$x= \frac{-b +/- \sqrt{b^2 -4ac} }{2a}$

$\frac{-12+/- \sqrt{ 12^{2} -4(6)(-7)} }{12} = \frac{-12+/-17.66}{12}$

x = 0.47 and x = -2.47
</span>

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Amar and his friends went to a movie at 4:45 p.m. The movie ended at 6:20 p.m. PART A How long was the movie in hours and minute

babunello [35]

Answer:

The movie was 1 hour and 35 minutes long. (Or 95 minutes long)

Step-by-step explanation:

Well let's see:

It will take 15 minutes from the start to reach 5:00 PM

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Now it will be 1 hour and 20 minutes from 5:00 PM to reach the end time of the movie.

Adding the minutes and hours together:

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2 years ago

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

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3 years ago

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timofeeve [1]

Answer:

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Step-by-step explanation:

because the graph of the inequality

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Vanyuwa [196]

Answer:

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Answer:

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