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bixtya [17]
1 year ago
11

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

Mathematics
1 answer:
Margaret [11]1 year 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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Peaches are on sale at the farmer's market for $1.75
belka [17]

Answer:

5 Pounds of peaches

Step-by-step explanation:

Okay so your first step will be to divide 8.75 by 1.75.

That gives you 5, so she bought 5 pounds

6 0
3 years ago
Which expressions show the expanded form for 200.06? Choose all answers that are correct. A. 2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/
saveliy_v [14]

Answer:

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

Step-by-step explanation:

Given:

Number is

200.06

For option A)

2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

= 200 + 0 + 0 + 0.06

= 200.06

Which is CORRECT.

For option B)

2 × 100 + 0 × 1 + 0 × 1/100 + 6 × 1/1,000

= 200 + 0 + 0 + 0.006

=200.006

Which is INCORRECT.

For option C)

2 × 100 + 6 × 1/10

= 200 + 0.6

= 200.6

Which is INCORRECT.

For option D)

2 × 100 + 6 × 1/100

= 200 + 0.06

= 200.06

Which is CORRECT.

Therefore,

Correct options are

A)  2 × 100 + 0 × 1 + 0 × 1/10 + 6 × 1/100

D) 2 × 100 + 6 × 1/100

5 0
2 years ago
Help meee pleasee!!!<br><br><br><br><br> thank you &lt;3
julsineya [31]

The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and  C(300) = 150

<h3 /><h3>How to determine the newsletter function?</h3>

From the question, the given parameters are

Initial charge = $75.00

Rate per copy = $0.25 per copy

The equation of the newsletter function is then calculated as

Total = Initial charge + Rate per copy x Number of copies

Let x represents the number of copies

So, we have

Total = Initial charge + Rate per copy x x

This gives

C(x) = 75 + 0.25x

<h3>The function values for x = 0, 100, 200 and 300</h3>

When x = 0, we have

C(0) = 75 + 0.25 x 0 = 75

When x = 100, we have

C(100) = 75 + 0.25 x 100 = 100

When x = 200, we have

C(200) = 75 + 0.25 x 200 = 125

When x = 300, we have

C(300) = 75 + 0.25 x 300 = 150

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

7 0
1 year ago
What is this I need to know now
katen-ka-za [31]
3x2 is six. If you do that across, you would get 6/6 for both. 6/6 - 6/6 is how much?
7 0
3 years ago
Read 2 more answers
Algebraically determine if the relation x = – y2 – 0.1 is symmetrical with respect to the x-axis, y-axis, or the origin.
Nata [24]
I think that It will be symmetric about x axis
8 0
3 years ago
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