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juin [17]
2 years ago
6

What is 2/3x + 1/3 - 1/3x

Mathematics
2 answers:
Solnce55 [7]2 years ago
6 0

Answer:

1/3x  +1/3

Step-by-step explanation:

2/3x + 1/3 - 1/3x

Combine like terms

2/3 x - 1/3x     +1/3

1/3x         +1/3

nydimaria [60]2 years ago
3 0

Answer:

1/3x + 1/3

Step-by-step explanation:

Solution: put all alphabets and numbers at one side.

2/3x + 1/3 - 1/3x =

2/3x - 1/3x + 1/3 =

1/3x + 1/3

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Is the binomial a factor of the polynomial nominal function?
Sedbober [7]

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

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  • (x-3) - No
  • (x+3) - Yes
  • (x-5) - Yes
  • (x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

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3 years ago
Find all solutions in the interval [0,2pi).<br> 2sin^2(x)=sin(x)
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2\sin^2 x  =\sin  x \\\\\implies 2 \sin^2 x -  \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x =  0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6

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