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Mademuasel [1]
3 years ago
6

What is the value of the expression below when a is 3, b is 25, and c is 5? 1/2(3a + 4b + c) – (c2 + 5a)

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer:

32

Step-by-step explanation:

plug in

1/2 (3(3)+4(25)+5) - ((5)2+5(3))

inside parentheses first

1/2 (114) - (25)

multiply

57 - 25

subtract

32

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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
Point A(12, 0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B
Delvig [45]
The distance is 12/-5
4 0
3 years ago
Pete wants a lone of $1,500. Which of these terms describes the money he wants to borrow?
Amiraneli [1.4K]
Principle refers to the size of the loan.

So I believe Principle would be the right answer
4 0
4 years ago
Read 2 more answers
X2 - 4x + 3 = 0<br> lesser x =<br> greater x =<br> o
Levart [38]

Answer:

lesser x is 1

greater x is 3

Step-by-step explanation:

Here, we want to solve the equation so as to get the bigger and the lesser x values

We proceed as follows;

x^2 -4x + 3 = 0

x^2 - x-3x + 3 = 0

x(x-1) -3(x-1) = 0

(x-3)(x-1) = 0

x = 3

or x = 1

Greater x is 3

lesser x is 1

7 0
3 years ago
(x^4)^2 <br> how do I simplify this expression?
castortr0y [4]

Answer:

x^8

Step-by-step explanation:

(x^4)^2

~Apply power rule [ (a^b)^c = a^bc ]

x^4(2)

~Simplify

x^8

Best of Luck!

6 0
3 years ago
Read 2 more answers
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