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3 years ago

Is 17/2 rational or irrational?

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Answer:

it's a Rational number

Step-by-step explanation:

because it repeats and stops

Katyanochek1 [597]3 years ago

5 0

Hi, I'm happy to help!

A number is rational if it repeats itself, or stops. This number, both in fraction and decimal form (8.5), stops. This means that the number is rational.

I hope this was helpful, keep learning! :D

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Zach has 3/4 hour to play video games. It takes him 1/12 hours to set up the system. Each round of his favorite game takes 1/6 h

tiny-mole [99]

1/12 + 1/6x = 3/4...multiply everything by common denominator of 12
1 + 2x = 9
2x = 9 - 1
2x = 8
x = 8/2
x = 4 <== he can play 4 rounds

5 0

3 years ago

Read 2 more answers

Measure the length of the top of your desk in centimeters.describe how you found the length

kobusy [5.1K]

Simply take a ruler with centimeters on it and measure your desk.Tell the teacher you counted how many centimeters.

4 0

3 years ago

Can someone please help me

Marrrta [24]

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

<h3>How to find the value of a trigonometric function</h3>

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

$\sin \theta = -\sqrt{1 - \cos^{2}\theta}$

$\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}$

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

7 0

2 years ago

Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)

lions [1.4K]

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0

3 years ago

Read 2 more answers

Work out the formula of the nth term in the following quadratic sequence: 19, 15, 9, 1...

Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference. Let's verify that.

n 1 2 3 4

f(n) 19 15 9 1

1st diff -4 -6 -8

2nd diff 2 2

We see that we got a constant second difference. We could just extend that and work back up to get more values.

n 1 2 3 4 5 6 7

f(n) 19 15 9 1 -9 -21 -35

1st diff -4 -6 -8 -10 -12 -14

2nd diff 2 2 2 2 2

That's just an aside; we're after the general formula. We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an² + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c = 9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly. Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0

3 years ago