3 years ago

Look at this graph:

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

Answer:

2/1

Step-by-step explanation:

2 up and 1 to the right

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

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3 years ago

Perfect square of u^2 - 14u + _

Rudiy27

The solution is in the attached file

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3 years ago

What is the answer to <br>-5+62×(-2)?

ladessa [460]

-129 is the anwser to ur problem

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3 years ago

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A French restaurant used 848,540 ounces of cream last year. This year, due to a menu update, it used 40% less. How much cream di

Vsevolod [243]

Answer:

339416

Step-by-step explanation:

848,540 * 40/100 = 339416

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4 years ago

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk.

Pachacha [2.7K]

About 4.65 miles. Multiply 3 1/2 (3.5) by 1 1/3 (1.33) and thats how you get the answer

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3 years ago