Solving Linear Systems Graphically Answers

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Which function has an inverse that is also a function?

A
g(x) = 2x – 3
B
k(x) = –9x2
C
f(x) = |x + 2|
D
w(x) = –20
2
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If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
4

Eight less than four times a number is less than 56. What are the possible values of that number?

A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D
5

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A
x less-than negative 5
Option A
B
x greater-than negative 5
Option B
C
x greater-than negative 1
Option C
D
x less-than negative 1
Option D
6

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
7

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

Question illustration
A
b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction
Option A
B
b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h
Option B
C
b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction
Option C
D
b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)
Option D
8

Given the equation what is the value of x?

Question illustration
A
x = y w + y minus 1
Option A
B
x = 2 y w + y minus 1
Option B
C
x = 2 y w + y minus 2
Option C
D
x = 4 y w + 2 y minus 2
Option D
9

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

Question illustration
A
w = StartFraction 8 x squared + 2 y Over y EndFraction
Option A
B
w = StartFraction 8 x squared minus 2 y Over y EndFraction
Option B
C
w = 8 x squared minus 3 y
Option C
D
w = 8 x squared minus y
Option D
11

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

A
(negative infinity, negative 21)
Option A
B
(negative infinity, negative 21 right-bracket
Option B
C
Left-bracket negative 21, positive infinity)
Option C
D
(21, positive infinity)
Option D
12

Which is the solution set of the compound inequality and

Question illustration
A
Negative 2 less-than x less-than 3 and three-quarters
Option A
B
Negative 2 less-than x less-than 6
Option B
C
2 less-than x less-than 6
Option C
D
2 less-than x less-than 3 and three-quarters
Option D
13

If , what is ?

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
Option B
C
f Superscript negative 1 Baseline (x) = one-ninth x + 2
Option C
D
f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth
Option D
14

The formula for the volume of a sphere is . What is the formula solved for r?

Question illustration
A
r = 3 uppercase V + 4 pi
Option A
B
r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot
Option B
C
r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot
Option C
D
r cubed = 3 uppercase V minus 4 pi
Option D
16

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
17

Given the equation , which equation is solved for t?

Question illustration
A
t = p (s Subscript 1 Baseline minus s Subscript 2 Baseline)
Option A
B
t = p minus s Subscript 1 Baseline minus s Subscript 2
Option B
C
t = StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction
Option C
D
t = StartFraction p Over s Subscript 1 Baseline + s Subscript 2 Baseline EndFraction
Option D
18

Which represents the solution set of the inequality

Question illustration
A
x less-than-or-equal-to twelve-fifths
Option A
B
x greater-than-or-equal-to twelve-fifths
Option B
C
x greater-than-or-equal-to 6
Option C
D
x less-than-or-equal-to 6
Option D
19

Gavin wrote the equation to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Question illustration
A
s = StartFraction p minus 100 Over 3 EndFraction
Option A
B
s = StartFraction 4 p minus 300 Over 3 EndFraction
Option B
C
s = StartFraction 4 p Over 300 EndFraction
Option C
D
s = StartFraction 400 p Over 3 EndFraction
Option D
20

Which is the solution set of the inequality

Question illustration
A
y greater-than nine-fifths
Option A
B
y less-than nine-fifths
Option B
C
y less-than 3
Option C
D
y greater-than 3
Option D

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