Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A.


cost is $16.50
B.

rearrange to solve for t:

C. This is the same as part B, only the rate changed

they ask for the greatest number of minutes, so we round down (take the floor of the value).
the answer is 105 minutes.
Multiply 80 by 14 to get how many total people they can feed.
80 times 14 is 1120.
Now, divide 1120 by 32 to get how many days the food will last if 32 people come every day.
1120/32 = 35.
The answer is B, 35 days