Answer:
k = 7
Step-by-step explanation:
Step 1: Write equation
-18 = 5 - (6k - 19)
Step 2: Solve for <em>k</em>
<u>Distribute negative:</u> -18 = 5 - 6k + 19
<u>Combine like terms:</u> -18 = -6k + 24
<u>Subtract 24 on both sides:</u> -42 = -6k
<u>Divide both sides by -6:</u> k = 7
Step 3: Check
<em>Plug in k to verify it's a solution.</em>
-18 = 5 - (6(7) - 19)
-18 = 5 - (42 - 19)
-18 = 5 - 23
-18 = -18
14 patients for each nurse
Answer:
The expression
represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of
is
in term of ![i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B4%7D%3Di%5E%7B2%7D%5Ctimes%20i%5E%7B2%7D)
Substituting the value,

Product of two negative numbers is always positive.

Now
in term of ![i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B3%7D%3Di%5E%7B2%7D%5Ctimes%20i)
Substituting the value,

Product of one negative and one positive numbers is always negative.

Now
can be written as follows,

Applying radical multiplication rule,


Now,
and 

Now substituting the above values in given expression,

Simplifying,

Collecting similar terms,

Combining similar terms,

The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a f<span><span>irst-quadrant graph showing a ray from the origin through the points
(2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis
label is Plant growth in inches.</span>
The rate of relationship A is given by the slope of the graph as follows:

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.
For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16
</span><span><span>

</span>
For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2
</span><span>
For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9</span>
<span>

</span>
Therefore, the table that could represent Relationship B is table A.