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University of South Florida Algebra Questions

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Solve the equation by the zero-factor property.
The solution set is (
(Use a comma to separate answers as needed.)
w2 – 5w + 6 = 0
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Write an equation for the line described.
REVIEW & COMPLETE
slope 0, y-intercepto,
(o
The equation of the line is y=
y=
(Simplify your answer. Use integers or fractions for any numbers in the equation. Type your answer in
slope-intercept form.)
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17 questions, questions uploaded after accepting bid. Simple algebra
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Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them
to paint the room if they worked together?
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It would take hours.
(Simplify your answer. Type an integer or a fraction.)
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17 questions, questions uploaded after accepting bid. Simple algebra
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Graph the line containing the point P and having slope
m.
1014
10
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P = (3, -6); m=0
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Use the graphing tool to graph the line.
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Solve the equation.
Select the correct choice below and, if necessary, fill in
the answer box to complete your choice.
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VX-10 = 5 – Vx+5
A.
The solution set is {}.
(Simplify your answer. Use a comma to
separate answers as needed.)
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B. There is no solution.
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I FORMATTING
T
у
Give ordered pairs that are solutions and graph the
equation.
109
B
I U
E
GIF
8
5y = 2x – 10
6
Complete the ordered pairs so they are solutions to the
given quation.
х
y
2
0
х
0
-10
-8
-6
-4
-2
8
10
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I FORMATTING
T
Determine whether the equation is a conditional
equation, an identity, or a contradiction. Give the solution
set.
Is the equation a conditional equation, an identity, or a
contradiction?
Β Ι Ο
E
GIF
A. conditional equation
10(v + 3) – 2v = 4(2v+ 1) – 5
B. contradiction
C. identity
Select the correct choice below and fill in any answer
boxes present in your choice.
A.
The solution set is { }
(Type an integer or a fraction. Use a comma to
separate answers as needed.)
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B. The solution is all real numbers.
O C. The solution is the empty set.
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Decide whether f is even, odd, or neither.
f(x) = x4 – 2x² +9
B
I U
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Choose the correct statement.
A. The function is even.
B. The function is odd.
O C. The function is neither even nor odd.
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Miguel Rodriguez borrowed $500 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6
months with simple annual interest at 6.8%.
B
B
I U
E
GIF
a) How much will the interest amount to?
b) What amount must Miguel pay Julio at the end of 6 months?
The simple interest is $
The final balance is $
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Let f(x) = 5x² – 3x and g(x)=x²-x +3. Find (f + g)(x), (f-9)(x), (fg)(x), and
6)
(x). Give the domain of each.
B
I U
E
GIF
(f+g)(x) =
(Simplify your answer.)
(f-g)(x) =
(Simplify your answer.)
(fg)(x) =
(Simplify your answer.)
0
(x)=(Simplify your answer.)
The domain of (f+g)(x) is .
(Type your answer in interval notation.)
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The domain of (f-g)(x) is
(Type your answer in interval notation.)
The domain of (fg)(x) is
(Type your answer in interval notation.)
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The domain of — -(x) is
g
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Add and simplify.
(8 + 5i) + (5 – 4i) =
(Simplify your answer. Type your answer in the form
a + bi.)
F.
(8 + 5i) + (5 – 4i)
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Solve the equation.
8[1 – (- 9x – 8)] = 144x + 136
The solution set is {}. (Simplify your answer.)
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Use the quadratic formula to solve the equation.
y2 – 12y = – 31
The solution set is {|}.
(Simplify your answer. Type exact answers, using radicals as needed. Use a comma to separate answers as
needed.)
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Determine the domain of the relation.
{(8,4), (7,8), (13,14)}
The domain is { }
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What is the distance?
For the point P(-9,20) and QI – 4,23), find the distance
d(P,Q) and the coordinates of the midpoint M of the
segment PQ.
(Simplify your answer. Type an exact answer, using
radicals as need.)
What are the coordinates of the midpoint M?
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PLAGIARISM CHECKER
il FORMATTING
T
0
Match the following equation with its solutions.
B I U = G
I U =
GIF
x? – 35 = 0
Choose the correct answer below.
O A. V35
B. +5i 6
D.
+ 35
O c. #in 35
O E. 1516
O G. 35
OF.
– 35
H.
+ 35 i
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PLAGIARISM CHECKER
il FORMATTING
T
Graph the following piecewise function.
B I U = G+
GIF
-3 if xs -2
f(x) =
– 1 if x> -2
Choose the correct graph below.
O A.
B.
C.
OD.
y
y
у
5
у
5
5
5
X
X
X
X
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il FORMATTING
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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,4) and
parallel to x + 2y = 7.
B I U = G+
GIF
a) The equation of the line in slope-intercept form is
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
b) The equation of the line in standard form is
(Type your answer in standard form.)
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