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dimulka [17.4K]

3 years ago

8

Select the simplified expression for 8(x - 4) - 4(x - 3) + 7x. 11x + 4411x - 711x - 4411x - 20

1 answer:

zhannawk [14.2K]3 years ago

4 0

$8(x - 4) - 4(x - 3) + 7x=8x-32-4x+12+7x=11x-20\\\\Ans.\ 11x-20$

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A movie theater charges $5 for an adult ticket and $2 for a child's ticket. One Saturday, the theater sold 785 tickets for $3280

Nadya [2.5K]

Answer:

5x + 2y = 3280

x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

3925 - 3280 - 3y = 0

645 = 3y

y=645/3=215

x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280

570 adult and 215 child and 3,280 in total

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6 0

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Which of the following illustrates a phase shift?

Natasha_Volkova [10]

<u>Answer:</u>

A. y = -2 - cos(x-π)

<u>Explanation:</u>

<u>The general form of the trig equation is:</u>

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

<u>Now, let's check the choices:</u>

<u>A. y = -2 - cos(x-π)</u>

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

<u>B. y = 3 cos(4x)</u>

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

<u>C. y = tan(2x)</u>

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

<u>D. y = 1 + sin(x)</u>

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

<u>Based on the above,</u> the correct answer is A

Hope this helps :)

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Answer:

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Step-by-step explanation:

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2 years ago

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What is the absolute value for 3.45?

Lady bird [3.3K]

Answer:

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Step-by-step explanation:

8 0

2 years ago

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Find the real numbers x and y.<br> 27+yi= 11-x + 4i

Korvikt [17]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:x = -16$

$\qquad \tt \rightarrow \: y =4$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: 27 + yi = 11 - x + 4i$

$\qquad \tt \rightarrow \: yi + x = 11 + 4i - 27$

$\qquad \tt \rightarrow \: x + yi = - 16 + 4i$

By equating both equations we get :

$\qquad \tt \rightarrow \: x = - 16$

$\qquad \tt \rightarrow \: y = 4$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

1 year ago