Math 55
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Section4.8SuggestedHomework-NatalieBanks.pdf
11/22/2020 Section 4.8 Suggested Homework-Natalie Banks
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Student: Natalie Banks Date: 11/22/20
Instructor: Sam Pearsall Course: Math 55, Oct-Dec F20
Assignment: Section 4.8 Suggested Homework
Solve.
t2 + 6t = 27
t = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
c2 + 25 = 10c
c = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
012r + r2 + 27 =
r = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
0a2 + 4a =
The solution(s) is/are = .a (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
0c2 − 16 =
c = (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once.)
Solve.
c2 = 25
c = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
20a2 + 20 = 41a
The solution(s) is/are .a = (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once.)
Solve.
03r − r2 =
= r (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
07r2 − 28 =
= r (Simplify your answer. Use a comma to separate answers as needed.)
Solve the following equation.
0 7 − 26w − 8w2 =
w = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Solve.
35t2 = 5t
The solution(s) is/are = .t (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
( )36 = c c − 5
c = (Simplify your answer. Use a comma to separate answers as needed.)
11/22/2020 Section 4.8 Suggested Homework-Natalie Banks
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Solve.
2r3 − 8r2 = 64r
r = (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once.)
Solve.
10a3 = 10a
a = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
0x − 13x + 364 2 =
x = (Simplify your answer. Use a comma to separate answers as needed.)
Solve.
(x − 4)(x + 4) = 48
x = (Simplify your answer. Use a comma to separate answers as needed. Type each solution only once.)
Solve the following equation.
( )v 21 + 9v = 8
v = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Let f(x) x .= x2 + 14 + 50
Find a so that f(a) . = 2
If f(a) , then a .= 2 = (Use a comma to separate answers .)
Let g(x) x.= 2x2 + 3
Find a so that g(a) .= 20
If g(a) , then a .= 20 = (Use a comma to separate answers. Type an integer or a fraction.)
Find the domain of the function.
f(x) = 6
x2 − 100
What is the domain of f?
A. { }x | x > 10 B. {x | x 0}≠ C. {x | x is a real number} D. { }x | x ≠ 10 and x ≠ − 10
11/22/2020 Section 4.8 Suggested Homework-Natalie Banks
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Find the domain of the function f given below.
f(x) = x − 4
49x2 − 14x + 1
What is the domain of the function f(x) ?= x − 4
49x2 − 14x + 1
A. {x|x is a real number} B.
x|x is a real number and x ≠ 1 7
C. x =
1 7
D. 1 7
, ∞
Find the domain of the function f.
f(x) = 7
3x3 − 39x2 + 120x
Choose the correct domain of f.
A. { }x | x ≠ 0 B. { }x | x ≠ 3 and x ≠ 8 C. { }x | x ≠ 0 and x ≠ 3 D. { }x | x ≠ 0 and x ≠ 5 and x ≠ 8
Use the graph of f(x) to find the x-intercepts of the graph and the solutions of the equation.
0x − 3x − 102 =
The x-intercepts are . (Type an ordered pair. Use a comma to separate answers as needed.)
The solutions are x .= (Use a comma to separate answers as needed.)
f(x) = x − 3x − 102
-10 -8 -6 -4 -2 2 4 6 8 10
-20
-16
-12
-8
-4
4
8
12
16
20
x
y
(1)
(2)
An envelope is cm longer than it is wide. The area is cm . Find the length and the width.4 77 2
The shorter side, or width, of the envelope is (1)
The longer side, or length, of the envelope is (2)
cm .3
cm. cm .2
cm. cm .2
cm .3
11/22/2020 Section 4.8 Suggested Homework-Natalie Banks
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A wire is stretched from the ground to the top of an antenna tower. The wire is feet long. The height of the tower is ft greater than the distance d from the tower's base to the end of the wire. Find the distance d and the height of the tower.
35 7
The distance from the wire to the tower is ft.
The height of the tower is ft.
Find three consecutive even integers such that the square of the third is more than the square of the second.60
The smallest integer is . The middle integer is . The largest integer is .
(1)
(2)
The length of the top of a workbench is m greater than the width. The area is m . Find the length and the width.6 91 2
The width of the workbench is (1)
The length of the workbench is (2)
m .3
m .2
m.
m .2
m. m .3
(1) ft. ft/sec. sec.
A ball is thrown upward with an initial velocity of ft/sec from a height ft. Its height h, in feet, after t seconds is given by h(t) 16t t . After how long will the ball reach the ground?
96 640
= − 2 + 96 + 640
0 12 0
1200
t
y
t
h(t) 640
The ball will reach the ground in (1)
