Is the relation a function? Why or why not?

50 points please give step by step instruction

fenix001 [56]

Answer:

 x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

Change cos2x to 1 - 2sin^2x:

1 - 2sin^2x + 2 sinx = sin^2x

Shift the terms to make it a quadratic equation:

3 sin^2x - 2sinx - 1 = 0

Factorise the quadratic equation:

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

Solve for sin x = 1:

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

x = 90, 270 degrees

Solve for sin x = -1/3

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

x = 199.5, 340.5

Hence, x = 90, 199.5, 270, 340.5 degrees

[Sorry if I am wrong :( ]

8 0

4 years ago

The difference between two numbers is 2.5 . The product of those two numbers is 21. Provide the 2 equations needed to solve the

Licemer1 [7]

Answer:

x-y=2.5,xy=21

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

One of the numbers is x.

The other number is y.

The difference between two numbers is 2.5

This means that x - y = 2.5

The product of those two numbers is 21.

This means that xy = 21.

So the two equations are: x-y=2.5,xy=21

4 0

3 years ago

Question 39/50

KatRina [158]

Using it's concept, it is found that there is a 0.64 = 64% probability that neither flight is delayed.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 2 flights, each with a 0.8 probability of being on time. The flights are independent, hence the probability that both are on time is given by:

p = 0.8 x 0.8 = 0.64.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

3 0

2 years ago

leslies family is going on vacation. they pack 3 suit cases that each weigh less than 30 pounds. they pack 3 suitcases that each

faust18 [17]

50 because if she has 3 suit cases that 'could' weigh 50 pounds, then the average of those is also 50.

6 0

3 years ago

The graph shown is the solution set for which of the following inequalities?

Morgarella [4.7K]

Y≥|x-1|
The lines represented are the line y=x-1 and the line y=x-1 itself in the positive section of the graph (absolute value).

8 0

4 years ago

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