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luda_lava [24]
3 years ago
9

What are the real or imaginary solutions of the polynomial x^3=9x​

Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

 x = 0, +\-3


Discussion:

x^3 = 9x              => subtract 9x from both sides

x^3 - 9x = 0         => factor x from both terms

x(x^2-9) = 0        => x = 0 or x^2 - 9 = 0

x = 0, +\-3

Thank you,

MrB

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Find the factored form of this trinomial.<br> b2 - 11b - 12
Levart [38]

Answer:

( b + 1 ) ( b - 12 )

3 0
2 years ago
this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y
marissa [1.9K]

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

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3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0
3 years ago
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per
dimulka [17.4K]

Answer:

A. 3 bags of oranges, 4 bags of apples

Step-by-step explanation:

If O is number of bags of oranges and A is number of bags of apples:

O + A = 7

5O + 3A = 27

We can solve this system of equations with either substitution or elimination.  I like to use substitution, but you can use whichever you prefer.

O = 7 − A

5 (7 − A) + 3A = 27

35 − 5A + 3A = 27

35 − 2A = 27

8 = 2A

A = 4

O = 7 − A

O = 3

Teresa bought 3 bags of oranges and 4 bags of apples.

4 0
3 years ago
A police officer wears a belt that carries an extra 10 pounds on their waistline. The police officer weighs p pounds.
Lelechka [254]

Answer: T = 10p

Step-by-step explanation: Since we don't know what is the total weight, we put the an variable, T to represent the total weight. The 10p means that the poilce officer gained 10 Pounds.

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The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
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The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps
7 0
3 years ago
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