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MAXImum [283]
3 years ago
7

Anybody know the right answer?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

If we just have

y = \cos x

that's an amplitude of 1 and a period of 2\pi

Let's modify this step by step.

Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

y = 4 \cos x

Period of π. Double the period means a factor of 2 on the inside.

y = 4 \cos(2x)

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

y = 4 \cos(2(x + \frac \pi 2))

Vertical shift of 3:

y = 3 + 4 \cos(2(x + \frac \pi 2))

y = 3 + 4 \cos(2x +  \pi)

Depending on the interpretation of the phase shift, that pi may be a pi/2.

Answer: 3 + 4 \cos(2x +  \pi)

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Sedaia [141]

Answer:

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3 years ago
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Help with number one ASAP
mihalych1998 [28]
<h2>The answer is : </h2><h3>The unit  is staying constant all over because  the x -intecerpt ins +8 and the y is +1</h3>
8 0
4 years ago
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation
Kryger [21]

Answer:

y + x - 6 = 0

Step-by-step explanation:

Given

M(0,6) \ and \ N(6,0)

Required

Find the equation of the line

First, the slope of the line has to be calculated using the following formula;

m = \frac{y_2 - y_1}{x_2 - x_1}

where\  (x_1,y_1) = (0,6) \ and \ (x_2,y_2) = (6,0)

So, the equation becomes

m = \frac{0 - 6}{6 - 0}

m = \frac{-6}{6}

m = -1

The equation of the line can then be calculated using

m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}

Using \ m = \frac{y - y_1}{x - x_1}

-1 = \frac{y - 6}{x -0}

-1 = \frac{y - 6}{x}

Multiply both sides by x

-1 * x = \frac{y - 6}{x} * x

-x = y - 6

Add x to both sides

x -x = y - 6 + x

0 = y - 6 + x

Reorder

y + x- 6 = 0

Using \ m = \frac{y - y_2}{x - x_2}

-1 = \frac{y - 0}{x - 6}

-1 = \frac{y}{x - 6}

Multiply both sides by x - 6

-1 * (x-6) = \frac{y}{x - 6} * (x-6)

-1 * (x-6) = y

-x+6 = y

Add x - 6 to both sided

x - 6 -x+6 = y +x - 6

0 = y + x - 6

y + x - 6 = 0

Hence, the equation of the line is y + x - 6 = 0

3 0
3 years ago
-12 = -5(x - 3) ......​
Gnoma [55]

Answer:

x = 27/5

Step-by-step explanation:

Step 1: Write equation

-12 = -5(x - 3)

Step 2: Solve for <em>x</em>

  1. Distribute -5: -12 = -5x + 15
  2. Subtract 15 on both sides: -27 = -5x
  3. Divide both sides by -5: x = 27/5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-12 = -5(27/5 - 3)

-12 = -5(12/5)

-12 = -12

4 0
3 years ago
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Answer:

please correct me if im wrong

1: 200 more calories

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3: They're eating more carbs

4:B

Step-by-step explanation:

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