Answer:
f
(
x
)
=
3
(
x
−
1
)
2
+
5
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
3
h
=
1
k
=
5
Find the vertex
(
h
,
k
)
.
(
1
,
5
)
image of graph
Answer:
5x+32=45;x=2.6
Step-by-step explanation:
5x+17+15=45
5x+32=45
5x=13
x=2.6
Answer:
![Pr = 0.6](https://tex.z-dn.net/?f=Pr%20%3D%200.6)
Step-by-step explanation:
Given
Let
![O \to Orange](https://tex.z-dn.net/?f=O%20%5Cto%20Orange)
So:
--- probability of O
--- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:
![P(O') = 1 - P(O)](https://tex.z-dn.net/?f=P%28O%27%29%20%3D%201%20-%20P%28O%29)
![P(O') = 1 - 25\%](https://tex.z-dn.net/?f=P%28O%27%29%20%3D%201%20-%2025%5C%25)
Express as decimal
![P(O') = 1 - 0.25](https://tex.z-dn.net/?f=P%28O%27%29%20%3D%201%20-%200.25)
![P(O') = 0.75](https://tex.z-dn.net/?f=P%28O%27%29%20%3D%200.75)
On two spins, the probability that it will not land on orange is:
![Pr = P(O') * P(O')](https://tex.z-dn.net/?f=Pr%20%3D%20P%28O%27%29%20%2A%20P%28O%27%29)
So, we have:
![Pr = 0.75* 0.75](https://tex.z-dn.net/?f=Pr%20%3D%200.75%2A%200.75)
![Pr = 0.5625](https://tex.z-dn.net/?f=Pr%20%3D%200.5625)
<em></em>
<em> --- approximated</em>
Answer:
x - 8
Step-by-step explanation:
Plug in -1 for x and you get x - 8
If the square has sides of 6 the circle has a radius of 3 so it's area is 9pi