Answer:
1,408 packs can be made, and 2 pens will be left out.
Step-by-step explanation:
Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:
5.634 / 4 = X
1,408.5 = X
5,634 - (1,408 x 4) = X
5.634 - 5.632 = X
2 = X
Therefore, 1,408 packs can be made, and 2 pens will be left out.
Answer:
Final answer is
and
.
Step-by-step explanation:
Given equation is
.
Now we need to solve that by factoring.






, 
, 
, 
, 
Hence final answer is
and
.
Are you looking to simplify it? If so I think the answer would be 1/2.
Move the figure 10 units to the right and then rotate it 90º
Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,

This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula (
). Traditionally, one would use a formula to find the slope of a line that is the following, (
). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.