Homework 2.1
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School
Casper College *
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Course
2355
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
4
Uploaded by MasterIronSeal58
Section 2.1
Resume
Exit
Score: 100%
8 of 8 pts
Score List
Review Questions
Question 1
1/1 pt
b
a
a. Graph A
b. Graph B
Consider the following system of equations and its graph:
2
4
6
8
-2
-4
-6
-8
2
4
6
8
10
12
14
16
18
20
22
-2
-4
-6
-8
-10
-12
-14
-16
-18
-20
-22
A
B
A) What is the solution of the system?
Answer: (
-4
,
-4
)
B) In the boxes below, enter either the letter A or B to match the equation to the graph shown.
Question Help: {
−
4
x
−
y
=
20
−
3
x
+
y
=
8
(
x
,
y
) =
C
C
−
3
x
+
y
= 8
−
4
x
−
y
= 20
C
Q
Video
1
Question 2
1/1 pt
Question 3
1/1 pt
Question 4
1/1 pt
Question 5
1/1 pt
Solve the following system of equations with the substitution method:
Answer: (
−
2
,
4
)
Preview : Preview : Question Help: {
x
+ 5
y
=
18
−
2
x
−
3
y
=
−
8
(
x
,
y
) =
C
C
x
y
Q
Video
1
Solve this system of equations
-2
-5
Question Help: {
−
x
+ 3
y
=
−
13
−
4
x
−
3
y
=
23
x
=
C
y
=
C
Q
Video
1
Solve this system of equations
0
0
Question Help: {
3
x
−
4
y
=
0
3
x
−
y
=
0
x
=
C
y
=
C
Q
Video
1
Question 6
1/1 pt
Question 7
1/1 pt
When hired at a new job selling jewelry, you are given two pay options:
Option A: Base salary of $17,000 a year, with a commission of 7% of your sales
Option B: Base salary of $23,000 a year, with a commission of 2% of your sales
In order for option A to produce a larger income, you would need sell at least $
120,000
of jewelry each year.
Question Help: C
Q
Video
1
In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after
adding the chain. When I weighed the chain, its mass was 65.3 grams.
I believe the chain is solid metal (not gold plated), but is probably a blend of gold and other
metals. I looked up that gold has a density of 19.3 g/ml, while the other metals like silver and
copper usually blended with gold have a combined density of about 9.7 g/ml.
Determine what percentage of the chain is gold, by mass, to at least 1 decimal place?
51.7
%
Measuring density of a gold chain
C
Your preview ends here
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Question 8
1/1 pt
Below are three systems of equations. Determine the type of solutions to that system of equations
No solution (inconsistent system)
Infinitely many solutions (dependent system)
One unique solution
Question Help: {
−
2
x
+
y
= 7
−
6
x
+ 3
y
= 23
C
{
−
2
x
+
y
= 7
−
6
x
+ 3
y
= 21
C
{
−
2
x
+
y
= 7
−
6
x
−
3
y
= 3
C
Q
Video
1
Solve the System. Give your answer as .
1
,
-2
,
-3
Question Help: (
x
,
y
,
z
)
⎧
⎨
⎩
−
x
−
3
y
+ 2
z
=
−
1
−
2
x
+ 3
y
−
6
z
=
10
4
x
+ 3
y
+ 6
z
=
−
20
(
x
,
y
,
z
) = (
C
C
C
)
Q
Video
1