9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
Answer:
Step-by-step explanation:
to find the dollars multiply 22.50 by the hour and to find the hour divide the dollars with 22.50.
Answer:

Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)

Take n as 1


From the table:



Take n as 2

From the table:



The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)

Take n as 1


From the table:



Take n as 2

From the table:



The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula

Substitute values for g(0) and r

Hence:
The explicit formula is: 
Answer:

Step-by-step explanation:
Set builder notation-
It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.
The given set is,

This set is comprised of all negative integers. So symbol Z should be used in this case.
The set builder notation for this set is,

Answer:
17+28i
Step-by-step explanation:
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