Answer:
As a model for representing fractions, the number line differs from other models (e.g., sets, regions) in several important ways. First, a length represents the unit, and the number line model suggests not only iteration of the unit but also simultaneous subdivisions of all iterated units. That is, the number line can be treated as a ruler.
Step-by-step explanation:
His hourly rate is $13.75.
Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:
20x + 0.16(1500) = 515
20x + 240 = 515
Subtract 240 from both sides:
20x + 240 - 240 = 515 - 240
20x = 275
Divide both sides by 20:
20x/20 = 275/20
x = 13.75.
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs)
So the factored form would look like
<span>(x+4i)(x−4i).</span>
When multiplied out this gives the polynomial
<span><span>x2</span>+<span>16.</span></span>
Answer:

Step-by-step explanation:
The vertex form of an absolute function is
.... (1)
where, (h,k) is vertex.
The given function is

The vertex of the function is (-2,0).
It is given that graph of f(x) is translated 4 units to the right. So, the vertex of the function after translation is (2,0).
Substitute h=2 and k=0 in function (1).


Therefore, the required function is
.
A piece-wise function combines more than one functions of different input values.
<em>The value of f(-1) is -3</em>
From the graph, we have the following observations
- <em>When x = -1, y = -3</em>
- <em>When x = -1, y = -4</em>
Notice that there is a closed circle at the point where x = -1 and y = -3.
This means that y = -3 is inclusive of the values of y on that particular function
However, there is an open circle at the point where x = -1 and y = -3.
This means that y = -4 is exclusive of the values of y on that particular function
The correct corresponding value of y is when y is inclusive.
Hence, the value of f(-1) is -3
See attachment for the graph of the piece-wise functions
Read more about piece-wise functions at:
brainly.com/question/11547854