Answer:
60 watts i believe double check my work
Step-by-step explanation:
Answer:
Option c. x<14
Step-by-step explanation:
Please, see the attached file.
Thanks.
F
(
x
)
=
x
2
−
2
x
−
15
f
(
x
)
=
x
2
-
2
x
-
15
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
1
,
−
16
)
(
1
,
-
16
)
Focus:
(
1
,
−
63
4
)
(
1
,
-
63
4
)
Axis of Symmetry:
x
=
1
x
=
1
Directrix:
y
=
−
65
4
y
=
-
65
4
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.
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x
y
−
1
−
12
0
−
15
1
−
16
2
−
15
3
−
12
x y -1 -12 0 -15 1 -16 2 -15 3 -12
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
1
,
−
16
)
(
1
,
-
16
)
Focus:
(
1
,
−
63
4
)
(
1
,
-
63
4
)
Axis of Symmetry:
x
=
1
x
=
1
Directrix:
y
=
−
65
4
y
=
-
65
4
x
y
−
1
−
12
0
−
15
1
−
16
2
−
15
3
−
12
x y -1 -12 0 -15 1 -16 2 -15 3 -12
image of graph
Answer: 12 = r
Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.
First, let's put our variables on the right side by subtracting 3r from both sides of the equation. That gives us 5 = 2r - 19.
Now we can move our numbers to the left by adding 19 to both sides of the equation and we get 24 = 2r.
Divide both sides by 2 and 12 = r
Note:
Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.
Answer:
1)
2)
3)
4)
5)
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
Simplifying both sides by 5
Question 2:
Simplifying both sides by 20
Simplifying by 3
Simplifying by 2
Question 3:
Simplifying both sides by 7
Simplifying both sides by 3
Question 4:
Question 5:
Simplifying by 2, both sides
Simplifying by 8, both sides