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daser333 [38]
3 years ago
6

The volume of a rectangular prism is (x^4+4x^3+3x^2+8x+4), and the area of its base is (x^3+ 3x^2+8). If the volume of a rectang

ular prism is the product of its base area and height, what is the height of the prism
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0
1) Volume = area * height => height = volume / area

2)

                  x^4 + 4x^3 + 3x^2 + 8x + 4
height =    --------------------------------------
                           x^3 + 3x^2 + 8

That division is not exact

The result of this division is x + 1 plus a residue of - 8x^2 + 8x - 4.

It was expected an exact division, so likely some of the terms is not properly written. Now you know the procedure and can perform it with the right terms.
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Step-by-step explanation:

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2 years ago
What is the inverse of the given function? y = 7x2 -­ 3. A. B. C. D.
Sergeeva-Olga [200]
Y = 7x^2-3

x=7y^2-3


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3 years ago
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QveST [7]

Answer:

a) x = -1 and  y = 5, b) x = 2 and y = -1, c) x = -2 and y = 1, d) x = 2 and y = -9, e) x = 2 and y = -2, f) x = 2 and y = -1, g) x = 2 and y = -1, h) x = 1 and y = 2.

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) 2\cdot x + y = 3 and 3\cdot x - y = -8

y = 3 - 2\cdot x

3\cdot x - 3 + 2\cdot x = -8

5\cdot x = -5

x = -1

y = 5

b) x - 2\cdot y = 4 and -x+3\cdot y = -5

x = 4 + 2\cdot y

-4-2\cdot y+3\cdot y = - 5

-4+y = -5

y = -1

x = 2

c) -2\cdot x + 5\cdot y = 9 and x - y = -3

x = y-3

-2\cdot y +6 +5\cdot y = 9

3\cdot y = 3

y = 1

x = -2

d) 5\cdot x - 4\cdot y = 2 and 3\cdot x + 2\cdot y = -12

3\cdot x + 2\cdot y = -12

6\cdot x + 4\cdot y = -24

4\cdot y = -6\cdot x -24

5\cdot x +6\cdot x +24 = 2

11\cdot x = -22

x = 2

y = -9

e) x + y = 0 and 2\cdot x +3\cdot y = -2

y = -x

2\cdot x -3\cdot x = -2

-x = -2

x = 2

y = -2

f) 3\cdot x + 5\cdot y = 1 and x + y = 1

y = 1 - x

3\cdot x + 5 - 5\cdot x = 1

-2\cdot x = -4

x = 2

y = -1

g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

x = \frac{5-3\cdot y}{4}

\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}

4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)

48 + 8\cdot y = 25 - 15\cdot y

23\cdot y = -23

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h) 7\cdot x + 8\cdot y = 23 and 3\cdot x + 2\cdot y = 7

3\cdot x + 2\cdot y = 7

12\cdot x + 8\cdot y = 28

8\cdot y = 28 - 12\cdot x

7\cdot x +28-12\cdot x = 23

-5\cdot x = -5

x = 1

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8 0
3 years ago
What do calculators use to show scientific notation
max2010maxim [7]

Answer:

Basically, when a scientific calculator displays a number as aEb, it means to move the decimal point in a as follows:

If b is positive, move the decimal point b units to the right.

If b is negative, move the decimal point b units to the left.

Step-by-step explanation:

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3 years ago
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B) f(x) = (10 - 3x)(4 - 5x)
babymother [125]

Answer:

x=10/-3, 4/5

Step-by-step explanation:

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4 - 5x = 0

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x = 4/5

7 0
3 years ago
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