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Nesterboy [21]
3 years ago
11

P L E A S E H E L P ! ! !

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

1) 6x = 21

2) x + y - 3

3) x/z = y

4) 2-x = p

Step-by-step explanation:

1. The product of a number x and 6 is 21

A product is a multiplication.  A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y  

The sum is an addition.  The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p

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Option 3

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Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: y = 3 \cos(10 (x -\pi))

We can assume the parent function to be:

y = \cos (x)

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y = A*\cos((\frac{2\pi}{B})(x-c))

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

y = A*\cos((\frac{2\pi}{B})(x-c)) to y = 3 \cos(10 (x -\pi))

A = 3

c = \pi

\frac{2\pi}{B} = 10

Solve for B

B = \frac{2\pi}{10}

B = \frac{\pi}{5}

Using the calculated values of A,\ B\ and\ c. This implies that, the following transformations occur on the parent function:

  • <em>Vertically stretched by </em>3<em />
  • <em>Horizontally compressed by </em>\frac{\pi}{5}<em />
  • <em>Right shifted by </em>\pi<em />
5 0
3 years ago
Read 2 more answers
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