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Mathematics
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Mathematics Its Power and Utility
Quiz 11: Graphs
Path 4
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Question 321
Essay
Graph the inequality.
y
>
2
x
ā
3
y > 2 x - 3
y
>
2
x
ā
3
Question 322
Essay
Andrea is on a business trip and must rent a car for the day. The car rental agency has the following options on the car she wants to rent: Option A: $40 per day plus $0.40 per mile; Option B: Flat $80 with unlimited mileage.
Which Line, I or II, is a graph of Option A? How do you know?
Question 323
Short Answer
Find the price that maximizes the profit if the demand for a product varies from 100 at a price of $800 each to 400 at a price of $200 each. Also, 100 could be supplied at a price of $500 each, whereas 900 could be supplied for $1,300 each. Assume that supply and demand are linear. $__________
Question 324
Short Answer
Is
(
ā
2
,
0
)
( - 2,0 )
(
ā
2
,
0
)
a solution to the inequality
y
>
ā
2
x
ā
2
y > - 2 x - 2
y
>
ā
2
x
ā
2
? Use the given graph of the inequality to answer the question.
Question 325
Short Answer
Solve the system by graphing.
{
3
x
ā
y
=
ā
3
3
x
+
y
=
9
\left\{ \begin{array} { l } 3 x - y = - 3 \\3 x + y = 9\end{array} \right.
{
3
x
ā
y
=
ā
3
3
x
+
y
=
9
ā
Enter your answer as an ordered pair,
(
x
,
y
)
( x , y )
(
x
,
y
)
.
Question 326
Short Answer
Decide whether the graph of each linear inequality includes the boundary line. Answer yes or no .
y
>
ā
x
y > - x
y
>
ā
x
__________
2
x
ā
5
y
ā„
ā
3
2 x - 5 y \geq - 3
2
x
ā
5
y
ā„
ā
3
__________
Question 327
True/False
When graphing a line, you only need to find and connect two points.
Question 328
Short Answer
Is
(
2
,
4
)
( 2,4 )
(
2
,
4
)
a solution to the system
{
x
+
y
=
6
2
x
+
y
=
8
\left\{ \begin{array} { l } x + y = 6 \\2 x + y = 8\end{array} \right.
{
x
+
y
=
6
2
x
+
y
=
8
ā
? Use the given graph of the system to answer the question.
Question 329
Short Answer
Solve the system by graphing.
{
x
+
y
=
5
x
ā
y
=
3
\left\{ \begin{array} { l } x + y = 5 \\x - y = 3\end{array} \right.
{
x
+
y
=
5
x
ā
y
=
3
ā
Enter your answer as an ordered pair,
(
x
,
y
)
( x , y )
(
x
,
y
)
.
Question 330
Short Answer
The test point (0, 0) __________ ( does or does not ) satisfy the given inequality.
3
y
ā
5
x
>
4
3 y - 5 x > 4
3
y
ā
5
x
>
4
Question 331
Short Answer
Is
(
6
,
0
)
( 6,0 )
(
6
,
0
)
a solution to the system
{
x
ā
3
y
=
6
x
+
y
=
ā
2
\left\{ \begin{array} { l } x - 3 y = 6 \\x + y = - 2\end{array} \right.
{
x
ā
3
y
=
6
x
+
y
=
ā
2
ā
? Use the given graph of the system to answer the question.
Question 332
True/False
Every parabola opens upward.
Question 333
Essay
Graph the inequality.
y
ā¤
4
y \leq 4
y
ā¤
4
Question 334
Essay
Graph the inequality.
y
ā¤
ā
x
+
3
y \leq - x + 3
y
ā¤
ā
x
+
3
Question 335
True/False
When graphing a parabola, you only need to find and connect two points.
Question 336
Short Answer
Suppose you can rent a pressure washer for $7.00 per hour or $63.00 per day. Determine the equations for each option and graph them on your own paper. From the graph, estimate the number of hours for which both rates are the same. __________ hours