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3 years ago

Explain how you can determine whether or not a number is rational

2 answers:

8 0

The easiest way to tell if a number is rational or not is to attempt to express it as a fraction. If you can, then the number is rational. If not, then the number is irrational. All integers are rational numbers, because they can be written as a fraction (for example, the integer 8 = 8/1). But numbers like pi or sqrt(2) cannot be written as a fraction and are not rational.

monitta3 years ago

6 0

Rational #s

(Terminating and repeating decimals)

Decimals
Fractions
Whole #s
Natural#s

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Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).

scoray [572]

Use pythagorean theorem:
sin^2 + cos^2 = 1

(-1/3)^2 + cos^2 = 1
1/9 + cos^2 = 1
cos^2 = 8/9
cos = +- sqrt(8)/sqrt(9) = +- 2sqrt(2)/3

Determine whether cos is positive or negative by looking at which quadrant the angle is in.
pi < theta < 3pi/2 ---> this is 3rd quadrant where x or cos is negative

Therefore cos(theta) = -2sqrt(2)/3

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2 years ago

Read 2 more answers

I need help plz, i will give brainliest for the correct answer

DanielleElmas [232]

Answer:

f'(1) exists: f'(1) = -2
f'(0) DNE

Step-by-step explanation:

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

f'(1) = -2(1)

f'(1) = -2

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

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1 year ago

Find the value of X.

Vesna [10]

Answer:

x = 3

Step-by-step explanation:

First set up the problem like this:

14x-17 = 8x + 1

Now we subtract 14x from each side. This leaves us with:

-17 = 6x+1

Now we need subtract 1 from each side, leaving us with:

-18 = -6x

And now we divide each side by 6x, leaving us with.

3 = x.

And if you insert three into both of the equations, it will result in 25.

(Hope this helped!)

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Answer:

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