University Algebra 10 Questions| Mathematics – Algebra
Student: _____________________ Date: _____________________
Course: College Algebra
Assignment: 4
1. Use the quadratic formula to find the exact solutions of the following equation.
x2 − 9x = 36
The solution(s) is/are .
(Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate answers as needed. Express complex numbers in terms of . Type each solution only once.)
2. Solve.
(Simplify your answers. Round to the nearest integer as needed.)
b) Find any horizontal asymptotes. Select the correct choice below, and if necessary, fill in the answer box to complete your choice.
A. The horizontal asymptote(s) is/are . (Type an equation.)
B. The graph has no horizontal asymptote.
Complete the following.
P(t) goes to as t goes to .
(Type an integer or a decimal.)
c) What does this indicate about the population? Choose the correct answer below.
A.
In
time,
the population of this community increases to
.
B.
In
time,
the population of this community decreases to
.
6
7
C.
In
time,
the population of this community decreases to
.
1
3
3
D.
In
time,
no one lives in this community
.
4. A oncepopular children’s doll is slowly declining in popularity. The quartic function f(x) = − 0.025×4 + 0.561×3 − 3.617×2 − 1.219x + 86.923, where x is the number of years since 1993, can be used to estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003. Estimate how many dolls were sold in 1998.
(
i
)(
i
)
3
+
2
3
−
2
=
(
Simplify
your answer
. T
ype your answer in the form
a
b
.)
+
The number of dolls sold in
was approximately
.
1
9
9
8
(
Round
to the nearest
thousand.)
5.
6.
Simplify
.
+
2
−
4
1
+
4
−
7
1
+
+
2
−
4
1
+
4
−
7
1
+
=
(
Simplify
your answer
. T
ype your answer in the form
a
b
.
Use integers or fractions for any numbers in the
expression.)
+
Solve.
,
for
W
=
−
5
P
C
C
C
=
7.
Find the domain of the following function.
f
(
x
)
=
7
4
x
2
−
x
−
2
0
The domain of
f(x)
is
.
(
T
ype
your answer in interval
notation.)
8. The diagonal of a TV set is 26 inches long. Its length is 14 inches more than the height. Find the dimensions of the TV set.
9.
10.
The height of the TV set is
inches.
The length of the TV set is
inches.
A
is dropped from the top of
.
Exactly
seconds
later
,
the sound of the
hitting bottom
is heard. How deep is the
?
r
u
b
b
e
r
b
a
l
l
a
h
o
l
e
3
.
5
r
u
b
b
e
r
b
a
l
l
h
o
l
e
The
is approximately
feet deep.
h
o
l
e
Round
(
to the nearest
tenth.)
Hint:
The distance that a dropped object falls in t seconds is
represented by the formula
s
16
t
.
The speed of sound is
1
100
ft/sec.
=
2
Perform the indicated operation.
(3 + 2i )(3 − 2i )
