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3 years ago

PLEASE HELP! See image. Which relation is a function?

Mathematics

1 answer:

stira [4]3 years ago

7 0

Answer:

The answer to this is the lower right option.

Step-by-step explanation:

Just remember that no two points can share the same x.

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Find all the solutions in there interval (0,2pi) for cos5x=-1/2

oee [108]

Answer:

$\frac{2\pi}{15},\frac{4\pi}{15},\frac{8\pi}{15},\frac{2\pi}{3},\frac{14\pi}{15}, \frac{16\pi}{15}, \frac{4\pi}{3},\frac{22\pi}{15}, \frac{26\pi}{15}, \frac{28\pi}{15}$

Step-by-step explanation:

Solving trigonometric equations.

We are given a condition and we must find all angles who meet it in the provided interval. Our equation is

$cos5x=-\frac{1}{2}$

Solving for 5x:

$5x=\frac{2\pi}{3}+2n\pi$

$5x=\frac{4\pi}{3}+2n\pi$

The values for x will be

$x=\frac{\frac{2\pi}{3}+2n\pi}{5}$

$x=\frac{\frac{4\pi}{3}+2n\pi}{5}$

To find all the solutions, we'll give n values of 0, 1, 2,... until x stops belonging to the interval $(0,2\pi)$

For n=0

$x=\frac{\frac{2\pi}{3}}{5}=\frac{2\pi}{15}$

$x=\frac{\frac{4\pi}{3}}{5}=\frac{4\pi}{15}$

For n=1

$x=\frac{\frac{2\pi}{3}+2\pi}{5}=\frac{8\pi}{15}$

$x=\frac{\frac{4\pi}{3}+2\pi}{5}=\frac{2\pi}{3}$

For n=2

$x=\frac{\frac{2\pi}{3}+4\pi}{5}=\frac{14\pi}{15}$

$x=\frac{\frac{4\pi}{3}+4\pi}{5}=\frac{16\pi}{15}$

For n=3

$x=\frac{\frac{2\pi}{3}+6\pi}{5}=\frac{4\pi}{3}$

$x=\frac{\frac{4\pi}{3}+6\pi}{5}=\frac{22\pi}{15}$

For n=4

$x=\frac{\frac{2\pi}{3}+8\pi}{5}=\frac{26\pi}{15}$

$x=\frac{\frac{4\pi}{3}+8\pi}{5}=\frac{28\pi}{15}$

For n=5 we would find values such as

$x=\frac{\frac{2\pi}{3}+10\pi}{5}=\frac{32\pi}{15}$

$x=\frac{\frac{4\pi}{3}+10\pi}{5}=\frac{34\pi}{15}$

which don't lie in the interval $(0,2\pi)$

The whole set of results is

$\frac{2\pi}{15},\frac{4\pi}{15},\frac{8\pi}{15},\frac{2\pi}{3},\frac{14\pi}{15}, \frac{16\pi}{15}, \frac{4\pi}{3},\frac{22\pi}{15}, \frac{26\pi}{15}, \frac{28\pi}{15}$

6 0

4 years ago

In what decade was hip-hop music developed?<br> A. 1960<br> B. 1970<br> C. 1980<br> D. 1990

snow_lady [41]

Answer:

b 1970s

Step-by-step explanation:

3 0

2 years ago

erica takes a cab to meet her grandmother at a musuem. her grandmother wiill giive her a ride hime. she only has$25.05 to spend

Contact [7]

The maximum miles that she can travel 63 miles before she can walk.

7 0

3 years ago

How to anwer this queation his goona be hard

Anna71 [15]

11. AA 39/13= 3 14/7 = 2 not similar

12. SSS 15/12=1.25, 12/9= 1.33, 10/7= 1.43 not similar

13. Not similar

14.SSS 50/25= 2, 40/20=2, 20/10=2 similar

15. Exterior angle

16. Vertical angle

17. AA Q=C, B=N similar QBX= CNA by AA

18. SSS 22.5/18=1.25, 15/12=1.25, 18/0=18 Not enough information/ not similar

19.SAS 20/15=1.33, I=S, 15/9= 1.67 not similar

20. SAS 13/12=1.08, S=U, 10/8= 1.25 not similar

4 0

3 years ago

Solve the equation for a k=4a

nata0808 [166]

Answer: a = $\frac{K}{4+9b}$

Step-by-step explanation:

Rewrite the equation as 4a + 9ab=K

Factor out a of 4a + 9b

a (4 + 9b) = K

divide each term by 4 + 9b and simplify

= $\frac{K}{4+9b}$

7 0

3 years ago