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2 years ago

Find all solutions of the equation in the interval [0, 2).

Mathematics

1 answer:

Margaret [11]2 years ago

6 0

Answer:

x = 3π/2

Step-by-step explanation:

The given equation can be rewritten as a quadratic in sin(x), then solved by factoring.

<h3>Rewrite</h3>

Using the identity ...

cos²x = 1 -sin²x

the equation can be rewritten as ...

sin(x) = -(1 -sin²(x)) -1 . . . . . .substitute for cos²x

<h3>Solution</h3>

The new equation can be solved by considering it a quadratic in sin(x).

0 = sin²(x) -sin(x) -2 . . . . . . subtract sin(x)

(sin(x) -2)(sin(x) +1) = 0 . . . . factor quadratic

The solutions to this are ...

sin(x) -2 = 0 ⇒ sin(x) = 2 . . . . no solutions

sin(x) +1 = 0 ⇒ sin(x) = -1 ⇒ x = 3π/2 (one solution)

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mote1985 [20]

Answer:

(d) 428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

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2 years ago

Find all the zeros of the quadratic function.

earnstyle [38]

Answer x=-2,-6

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3 years ago

4. Tisha has two bags of marbles like the ones

ki77a [65]

Answer:

0.25

Step-by-step explanation:

Bag 1 :

Number of marbles = 6

Number of Blue marbles = 3

Bag 2:

Number of marbles = 4

Number of Blue marbles = 2

Recall :

Probability = required outcome / Total possible outcomes

For Bag 1:

P(blue) = Number of Blue marbles / total marbles

P(blue) = 3 / 6 = 1/ 2

For Bag 2:

P(blue) = Number of Blue marbles / total marbles

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Probability of a picking a blue marble from each bag :

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3 years ago

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Zinaida [17]

I participants. If you look at the line plot, for 6, there’s nothing there, meaning no one hit 6 kind.

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3 years ago

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Scorpion4ik [409]

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3 years ago