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4 years ago

15

Stephanie's graduation picnic costs $7 for every attendee. Write an equation that shows the relationship between the attendees,

a,and the cost, c. Complete the table to represent this scenario. Then graph the function. Be sure to label your table and graph.

1 answer:

Serjik [45]4 years ago

4 0

Are you studied on his work

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Find all solutions in the interval from [0,2pi)<br> 2cos(3x)= -sqrt{2}

algol [13]

Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

<u>Step-by-step explanation:</u>

Find all solutions in the interval from [0,2pi)

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

⇒ $2cos(3x)= -\sqrt{2}$

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

⇒ $cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-2}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-1}{{\sqrt{2}}}$

⇒ $cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})$

⇒ $3x=\pm \frac{\pi}{4}$

⇒ $x=\pm \frac{\pi}{12}$

Cosine General solution is :

$x = \pm cos^{-1}(y)+ 2k\pi$

⇒ $x = \pm \frac{\pi}{12}+ 2k\pi$ , k is any integer .

At k=0,

⇒ $x =\frac{\pi}{12}$ ,

At k=1,

⇒ $x = - \frac{\pi}{12}+ 2\pi$

⇒ $x = \frac{23\pi}{12}$

Therefore , Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

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3 years ago

Trey and his mom stopped at a railroad crossing to let a train pass. As the train began to pass, Trey counted 6 cars in the firs

netineya [11]

Find how many times 10 seconds is in 2 minutes and 45 seconds (16 times) and then multiply that my 6 (96) Then find what half of 6 is to compensate for the leftover 5 seconds (Half of 10 - so therefore the remaining amount of cars will be half of 6) to get 99 cars.

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4 years ago

deb is searching online for tickets two weeks ago the cost wass 200 now the cost is 280 what is the percent increase wha would i

Tasya [4]

Answer:

Step-by-step explanation:

200 = 100%

80 = x%

200x = 8000

x = 40% (percentage increase)

400 = 200%

100 = 50%

500 = 200% + 50%

500 = 250% (the other percentage increase)

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3 years ago

3x - 7x =4<br> I need you to help me solve and work it out

djyliett [7]

3-7 is -4 so it becomes -4x=4 divide both sides by 4 to get -x=-1 a lot of teachers dont like that negative x so you can also divide by -1 again to make it x=1
hope it helps

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3 years ago

11. What is the value of y when 10y-5=20

ella [17]

Answer:

y = 2.5

Step-by-step explanation:

Given

10y - 5 = 20 ( add 5 to both sides )

10y = 25 ( divide both sides by 10 )

y = 2.5

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3 years ago

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