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2 years ago

What is the period of the function f(x) shown in the graph? Enter your answer in the box.

Mathematics

1 answer:

Anni [7]2 years ago

6 0

period (T): the time it takes to travel one wave

= 2π - (-10π)

= 12π

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sineoko [7]

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Step-by-step explanation:

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2 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

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

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

Solve for x. Each figure is parallelogram

Dima020 [189]

Answer:

-1+2x= 17

2x=18

x=9

Step-by-step explanation:

ans. 9

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3 years ago

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Fudgin [204]

Use point slope form to answer this
Y = x - 10

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3 years ago

State how many imaginary and real zeros the function has.

myrzilka [38]

Hello,
Degre 5==> even number of imaginary roots and odd number of reals.

Real roots must be a divisor of 7.
Using Excel, we find

 x P(x)
-7 0 
 -6 1369
 -5 1352
 -4 867
 -3 400
 -2 125
 -1 24
0 7
1 32
2 225
3 1000
4 3179
5 8112
6 17797
7 35000

So: one real root: 7 and 4 imaginary roots.

Answer B

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3 years ago