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3 years ago

2m + 14 − 15 − 15m simplified

Mathematics

2 answers:

VMariaS [17]3 years ago

4 0

-13m - 1 is the simplified equation !

Tju [1.3M]3 years ago

3 0

Answer:

-13m-1

Step-by-step explanation:

You want to combine all like terms

In this case, that would be 2m, -15m and 14, -15

When you add 2m to -15 m, it gets you to -13. Similarly, you can subtract 15 from 2, and get -13 as well. It depends on which method you prefer.

Then, you want to combine 14 and -15 using addition or subtraction. Add 14 to -15 and that gets you to -1. You can also subtract 15 from 14 and get -1 as well.

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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

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Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

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

Step-by-step explanation:

Translation

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.

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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