Answer:
4th quadrant
Step-by-step explanation:
Sec in Cartesian form is
In order for sec to be positive, we must have a positive x value so we must be in Quadrant 1 or quadrant 4.
cot is negative so that menas y must be negative so.
The quadrant that has a positive x value and negative y value is 4th quadrant.
Answer:
B.
Step-by-step explanation:
Total number of students surveyed = 420
Of which only prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
The number of students that prefer rap is 105
So the equation is .
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.