Response:
Detailed explanation:
The function
features a horizontal asymptote which is 
The function
presents a horizontal asymptote which is 
One function
lacks a horizontal asymptote because the degree of its numerator surpasses that of the denominator,
The function
displays a horizontal asymptote which is 
Answer:
When point M (h, k) is rotated 180° around the origin O, its new position becomes M' (-h, -k). The signs of the coordinates are inverted.
In the graph provided, point H' is located at (-3,-2). Its corresponding pre-image, point H, will have coordinates that are the opposite signs of point H'.
Thus, coordinates of point H will be (3,2).
Step-by-step explanation:
Answer: d. AB = CD and BC = AD
Step-by-step explanation:
A parallelogram is defined as a four-sided figure with the following characteristics:-
- Opposite sides are equal (AB = CD and BC = AD
).
- Opposite angles are equal (∠A=∠C and ∠D=∠B).
- Consecutive angles are supplementary (∠A + ∠D = 180°).
- The diagonals bisect one another.
- If one angle is a right angle, then all angles are right angles.
Utilize the details to create inequalities that reflect each limitation or requirement.
2) Label the
variables.
c: count of color copies
b: count of black-and-white copies
3)
Define each constraint:
i) <span>Printing a color copy requires 3 minutes while a black-and-white copy takes 1 minute.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He must print
a minimum of 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) Moreover, he must finish the prints within
12 minutes at most ⇒</span>
3c + b ≤ 12<span />
4) Additional limits include
c ≥ 0, and
b ≥ 0 (meaning
only non-negative counts are valid for each type of copy)
5) Here’s how to
illustrate that:
i) For 3c + b ≤ 12: draw the line representing 3c + b = 12 and shade the area above and to the right of this line.
ii) For c + b ≥ 6: draw the line c + b = 6 and shade the area below and to the left of this line.
iii) Given that c ≥ 0 and b ≥ 0, the relevant region is located in the
first quadrant.
iv) The concluding area is the
overlap of the previously mentioned shaded regions.v) The graph can be viewed in the attached figure.