Posted: September 14th, 2017

Solve thefollowing quadratic equation by factoring

Solve thefollowing quadratic equation by factoring

a)
0
27
6
2
?
?
?
x
x
Answers:
Show your work here:
b
)
Solve
the quadratic equation
3
x
2
+
2
x
–
1
6
= 0 u
sing the quadratic formula.
Read the information in the assignment list to learn more about how to type math
symbols, such as the square root.
Answer
s
:
Show your work
here:
2
)
Use the graph of
y
=
x
2
+ 4
x
–
5
to answer the following:
a)
Without solving the equation or factoring, determine
the solution(s) to the
equation
,
0
5
4
2
?
?
?
x
x
, u
s
ing only
the graph
.
Answer:
Explain how you obtain
ed
your answer(
s) by looking at the
graph
in a brief sentence
:
b)
Does this function have a maximum or a minimum?
Answer:
Explain how you obtain
ed
your answer by looking at the graph
in a brief sentence:
:
c)
What are the coordinates of the vertex in (
x
,
y
) form?
Answer:
d)
Wh
at is the equation
of
the line of symmetry for this parabola?
Answer:
3
)
The
profit
function
for Wannamaker Trophies is P(x) =
–
0.
4
x
2
+ fx
–
m,
where
f
represents the design fee for a customer’s awards and m
represents the
monthly office
rent
.
Als
o, P represents the monthly profit in dollars of the small business where x is
the number of awards designed in that month.
a)
If
$
8
0 is charged for a design fee, and the monthly studio rent is $1,
6
00; write an
equation for the profit, P, in terms of x
.
Ty
ping hint: Type
x
–
squared as
x
^2
Answer:
b)
How much is the profit when 50 award designs are sold in a month
?
Answer:
Show your work here:
c)
How many award designs must be sold in order to maximize the profit
?
Show
your work algebraically. Trial and
error is not an app
ropriate method of solution
–
use methods taught in class.
Answer:
Show your work here:
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