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makvit [3.9K]
3 years ago
10

Can you guys help me out

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

what grade are you in that requieres this type of math

Step-by-step explanation:

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What's 80 over 100 subtracted by 20 over 100 in its simplest form
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3/5, as 80/100 - 20/100 = 60/100, which simplifies to 3/5.
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Which of the following is a solution to 2cos2x − cos x − 1 = 0?
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Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





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Answer:

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Step-by-step explanation:

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the amount of time it takes to finish a race might be a function of which of the following A. the distance of the race B. the nu
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A

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this is a because the number of people does not involve the amount of time and the entry fee is just out of the question but the distance is going to affect the speed of the fish and that will affect the time

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