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Nikitich [7]
3 years ago
11

Simplify (3k^4) (7k^5)

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

21 k^9

Step-by-step explanation:

(3k^4) (7k^5)

Multiply the coefficients

3*7 = 21

Add the exponents

k^(4+5) = k^(9)

Put back together

21 k^9

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Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of
labwork [276]

Answer:

<em>a)  </em>G(x)= \sin x + 2<em />

<em>b) The coordinates of P are</em>

<em />\displaystyle \left( \frac{3\pi}{2},1\right)

Step-by-step explanation:

<u>Translation</u>

The dashed line shows the graph of the function

y = \sin x

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

\boxed{G(x)= \sin x + 2}

b) The coordinates of P correspond to the value of

x = \frac{3\pi}{2}

The value of G is

\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2

Since

\sin \frac{3\pi}{2}=-1

\displaystyle G(\frac{3\pi}{2})= -1+ 2=1

The coordinates of P are

\displaystyle \left( \frac{3\pi}{2},1\right)

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Answer:

5.5

Step-by-step explanation:

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