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Aliun [14]
4 years ago
12

Add or Subtract polynomial expressions

Mathematics
1 answer:
Olegator [25]4 years ago
8 0

Answer:

x³ + x² + 4x + - 4

Step-by-step explanation:

Remove the parentheses and simplify.  Expand the negative sign for the second phrase in parentheses.

-x³ + 2x² - x + 2 + 2x³ + 5x - 1 - x² - 5

x³ + x² + 4x + - 4

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Equivalent ratio for 12/9
Oliga [24]
In order to make a fraction a ratio, you must simplify it if it is needed. So for 12/9, you can divide 3 from the numerator and denominator. That would equal 4/3. Now that it is simplified, you can make it into a ratio. (can be using ":" or using the word "to") 
One way it can be used is --> 4:3
Another way --> 4 to 3 
Good luck!
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4 years ago
Answer question 3 I need help plz
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6 0
3 years ago
A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
3 years ago
How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.
vova2212 [387]

Answer:

14

Step-by-step explanation:

How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.

Let the number of 1/2s = x

Hence:

Division Equation =

7 ÷ 1/2

Multiplication Equation =

= 7 × 2/1

= 14

There are 14 1/2s in 7

7 0
3 years ago
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