Answer:
g(0) = -8
Step-by-step explanation:
When you plug in a zero for the x the equation will look like
g(0) = -2(0) - 8
-2 times 0 = 0 so g(0) = -8
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
16 will go where the question mark is located
So 3/6 = 8/16
Think of it like this: if you had three slices of pizza out of 6 total, then you had half the pizza. The same goes for if you had 8 slices out of 16 total
You can use the cross multiplication rule to find x
3/6 = 8/x
3*x = 6*8
3x = 48
3x/3 = 48/3
x = 16
The teacher has to take 10 questions at a time from 12 questions.
Total ways = 12C10 = 12!/(10!)(12-10)! = 12 x 11 / 2 = 66
The teacher can make 66 different exams
Answer:

Step-by-step explanation:
We have to express the given radical using imaginary unit.

We know that, imaginary unit:

We may solve the radical as:
