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Rashid [163]
3 years ago
10

Help me with this math problem

Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

8

Step-by-step explanation:

I hope help you this answer

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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)

7 0
3 years ago
If f(x)= -3x-5 and g(x)= 4x-2 find (f+g)(x)
juin [17]

Known :

f(x) = -3x - 5

g(x) = 4x - 2

Asked :

(f+g)(x) = ...?

Answer :

(f+g)(x) = (-3x - 5) + (4x - 2)

= (-3x + 4x) + (-5 - 2)

= x + (-7)

= <u>x </u><u>-</u><u> </u><u>7</u>

So, the value of (f+g)(x) is x - 7

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

5 0
3 years ago
Read 2 more answers
Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?
Lana71 [14]

2.52 * 27.94 = 70.4088, so not that one

94.1 * 2.5 = 235.25, so not that one

1.83 * 2.9 = 5.307, so not that one

25.07 * 5.4 = 135.378, so that one

Answer:

D. 25.07 * 5.4 = 135.378

3 0
3 years ago
Read 2 more answers
Please help! Thank you :) also don't spam for points I know a moderator
dybincka [34]

Answer:

1) True

2) False

3) True

4) True

5) False

4 0
3 years ago
7% of what length is 200 feet ​
Alex17521 [72]

Answer:

Roughly 2857.14

Step-by-step explanation:

7 0
3 years ago
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