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3 years ago

10

Function : y=4 sin(3x)-2

1 answer:

STatiana [176]3 years ago

4 0

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

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12.) Write y = 1/6 x + 7 in standard form using integers.

Trava [24]

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write $y = \frac{1}{6}x+7$ in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

$y = \frac{1}{6}x+7$

Let us convert the above equation into standard form

$y = \frac{x}{6} + 7$

$y = \frac{x}{6} + \frac{7}{1}$

Make the denominator same in R.H.S

$y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}$

Solve the above equation

$y = \frac{x}{6} + \frac{42}{6}$

$y = \frac{x+42}{6}$

Move 6 from R.H.S to L.H.S

$6y = x + 42$

Bring all the terms to one side, leaving only constant on R.H.S

$-x + 6y = 42$

The above equation is of form Ax + By = C

Thus option A is correct

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3 years ago

Customers can pick their own blueberries at blueberry hill. They pay $5 to enter the patch and $4 per round for the blueberries

Pavlova-9 [17]

Y=5+4x
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2 years ago

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?

olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

$\displaystyle y=\frac{k}{x}$

Where <em>k</em> is the constant of variation.

We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:

$\displaystyle (48)=\frac{k}{(3)}$

Solve for <em>k: </em>

<em /> $k=3(48)=144$ <em />

<em />

Hence, our equation is:

$\displaystyle y=\frac{144}{x}$

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

$\displaystyle \frac{24}{1}=\frac{144}{x}$

Cross-multiply:

$24x=144$

Divide both sides by 24. Hence:

$x=6$

Our answer is C.

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3 years ago

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lora16 [44]

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