Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

Where:
r: It's the radio
h: It's the height
Substituting the values:

Round off:

Thus, the bottle contains 41.80 cubic centimeters of perfume
Answer:
Option C
The difference between consecutive integers is 1.
Let x = smaller integer.
Then x + 1 is the next greater consecutive integer.
x(x + 1) = 132
x^2 + x - 132 = 0
(x + 12)(x - 11) = 0
x + 12 = 0 or x + 11 = 0
x = -12 or x = -11
Since x is the smaller of the two integers, the answers are:
-12, -11
11, 12
There are two pairs of such integers.
Answer:
x≥-8
Step-by-step explanation:
domain of f(x) :
9(x+8)≥0
x+8≥0
x≥-8
Answer: See explanation
Step-by-step explanation:
Every day at work, Kay walks up 9 flights of stairs. If there are 13 steps in 1 flight of stairs, how many steps does Kay climb in 5 days at work?
The number of steps she walks in a day will be:
= 13 steps × 9
= 117 steps
Number from steps in 5 days will be:
= 117 steps × 5
= 585 steps
If you sleep 7 hours every night how many hours are you AWAKE in a year?
The number for hours awake in a day will be:
= 24 hours - 7 hours
= 17 hours
The number for hours awake in a year will then be:
= 17 hours × 365
= 6205 hours