Which expressions are equivalent to the one below ? check all that apply : ) 21^x/3^x a- 7 b- (21-3)^x c- 3^x d- 7^x*3^x/3^x e- (21/3)^x d- 7^x

Option D and E are  equivalent to the given expression.

Step-by-step explanation:

Given :

Solution:

Using identity :

  -- Option E

Now this can be written as  

Identity :

 -- Option D

  -- Option D

Thus Option D and E are  equivalent to the given expression.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

4th option is correct xy=-10

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