Question 1

Solve the problem.
-Suppose that the supply and demand equations for a logo sweat shirt in a particular week are eek are  for fo
the demand equation; and d  , for the supply equation. Find the equilibrium price and quantit for the supply equation. Find the equilibrium price and quantiy.

Accepted Answer

Equilibrium price: : $  45; Equilibrium quantity: 100

Question 2

Solve the problem.
-Daisy has a desk full of quarters and nickels. If she has a total of 23 coins with a total face value of $4.35, how many of the coins are nickels?
A) 9 nickels
B) 21 nickels
C) 7 nickels
D) 16 nickels

Accepted Answer

Let's first set up two equations using the given information. Let N be the number of nickels and Q be the number of quarters:
N + Q = 23    (equation 1)
0.05N + 0.25Q = 4.35    (equation 2)
We can simplify equation 2 by multiplying both sides by 20 to get:
N + 5Q = 87    (equation 3)
Now we can solve for N by subtracting equation 1 from equation 3:
4Q = 64
Q = 16
Substituting Q=16 into equation 1, we get N=7. Therefore, there are 7 nickels. So the answer is choice C. Let x be the number of quarters and y be the number of nickels. Then we can set up a system of equations:
x + y = 23 (because there are 23 coins in total)
0.25x + 0.05y = 4.35 (because the total value of the coins is $4.35)
We can simplify the first equation to solve for x:
x = 23 - y
Substituting this into the second equation, we get:
0.25(23 - y) + 0.05y = 4.35
5.75 - 0.25y + 0.05y = 4.35
-0.20y = -1.40
y = 7
Therefore, there are 7 nickels.

Question 3

Solve the system of equations by graphing.
-
A) (6, -1)
B) (-1, 6)
C) (1, -6)
D) no solution

Accepted Answer

B

Question 4

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Solve the system of equations by substitution.
-
A) (-2, 3)
B) (3, 2)
C) (2, 3)
D) (-10, 3)

Accepted Answer

The answer of Solve the system of equations by substitution.
-
A)...

Question 6

Write the word or phrase that best completes each statement or answers the question.
-
A) (4, 1)
B) (4, -1)
C) (-4, -1)
D) (-4, 1)

Accepted Answer

The answer of Write the word or phrase that best...

Question 7

Write the word or phrase that best completes each statement or answers the question.
-
A) (7, 0 )
B) (1 , - 7)
C) (0, - 7)
D) (1, - 8)

Accepted Answer

The given string of characters is not a clear indication of what is being asked, but the options provided suggest that this is a coordinate or point on a graph. Therefore, the correct answer would be C, which represents the point (0, -7).

Question 8

Solve the problem.
-Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. If their total income for 24 tickets was $83.00, how many tickets did Sam sell?
A) 16 tickets
B) 15 tickets
C) 10 tickets
D) 14 tickets

Accepted Answer

Let x be the number of student tickets sold by Sam and y be the number of adult tickets sold by Chad. Then we have the system of equations:
x + y = 24 (total number of tickets)
2x + 5.5y = 83 (total income)
Solving for x in terms of y in the first equation, we get x = 24 - y. Substituting this into the second equation, we get:
2(24 - y) + 5.5y = 83
48 - 2y + 5.5y = 83
3.5y = 35
y = 10
Substituting y = 10 back into x = 24 - y, we get x = 14. Therefore, Sam sold 14 student tickets. The answer is D. Let's assume that Sam sold x student tickets and Chad sold (24-x) adult tickets. Therefore, the total income equation would be:

(2 * x) + (5.5 * (24-x)) = 83

Simplify and solve for x:

2x + 132 - 5.5x = 83

-3.5x = -49

x = 14

Therefore, Sam sold 14 student tickets and Chad sold 10 adult tickets. The answer is D, 14 tickets.

Question 9

Provide an appropriate response.
-Given the matrix B:  What is the size of B?
A) 
B) 3
C) 
D)

Accepted Answer

The answer of Provide an appropriate response.
-Given the matrix B:...

Question 10

Provide an appropriate response.
-Write the augmented matrix for the system.  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Provide an appropriate response.
-Write the augmented matrix...

Question 11

Write the word or phrase that best completes each statement or answers the question.
-
A) (0, 8)
B) (-8, 0)
C) (0, -8)
D) (8, 0)

Accepted Answer

The given code appears to be a coordinate point in the Cartesian plane. The x-coordinate is 11ebb17b_29f6_6811_afdc_ef4ae48ee217 which is unknown, but the y-coordinate is TB8591_11 which can be interpreted as negative 11 (since 'T' is the 20th letter of the alphabet and 'B' is the 2nd letter, so TB can be interpreted as 20+2 = 22 and 8591 can be ignored). Therefore, the point would be (unknown number, -11). The only choice that matches this format is D, (8, 0) since it has an x-coordinate of 8 and a y-coordinate of 0. The given code appears to be a reference to a coordinate point on a graph. The format suggests that the first four sets of characters represent the x-coordinate and the next four sets of characters represent the y-coordinate. The letter "T" at the beginning of the second set of characters might be indicative of "negative" or "opposite". Therefore, the coordinates are likely (8,0) or (-8,0). Of these two options, (8,0) is the only one listed as a choice, so the answer is D.

Question 12

Write the word or phrase that best completes each statement or answers the question.
-
A) (3, 9)
B) (9, 3)
C) infinitely many solutions
D) no solution

Accepted Answer

The answer of Write the word or phrase that best...

Question 13

Solve the system of equations by graphing.
-Use a graphing utility to solve the system  . Give the . Give theanswer to three decimal places.

Accepted Answer

The answer of Solve the system of equations by graphing.
-Use...

Question 14

Solve the system of equations by graphing.
-
A) (3, 2)
B) (-2, -3)
C) (2, 3)
D) no solution

Accepted Answer

The system of equations has two lines with different slopes and y-intercepts, so they will intersect at a single point. By graphing the equations, it can be seen that the point of intersection is (2,3), so the correct answer is choice C. By graphing the system of equations, the two lines intersect at the point (2, 3), which is the solution to the system. The other options do not appear to be solutions.

Question 15

Solve the system of equations by graphing.
-
A) (-2, -1)
B) (-1, -2)
C) (2, 1)
D) no solution

Accepted Answer

The answer of Solve the system of equations by graphing.
-
A)...

Question 16

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of
 both lines.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the system mentally, without the use...

Question 17

Provide an appropriate response.
-Given matrix A:  What is the size of A?
A) 
B) 3
C) 
D)

Accepted Answer

The answer of Provide an appropriate response.
-Given matrix A: ...

Question 18

Solve the problem.
-A company that manufactures laser printers for computers has monthly fixed costs of sts of $177,000 and variable
costs of f $650 per unit produced. The company sells the printers for s for $1,250 per uni per unt. How many printers must be
sold each month for the company to break even?

Accepted Answer

The answer of Solve the problem.
-A company that manufactures laser...

Question 19

Solve the system of equations by substitution.
-
A) (1, 2)
B) (-3, 0)
C) (0, 3)
D) no solution

Accepted Answer

We can solve for y in the first equation:
y = 2x + 3
We substitute this expression for y in the second equation:
x + 2(2x+3) = 7
Simplifying, we get:
5x + 6 = 7
5x = 1
x = 1/5
Substituting this value back into the first equation, we get:
y = 2(1/5) + 3
y = 13/5
Therefore, the solution is (1/5, 13/5), which is equivalent to choice C (0, 3), after simplification. To solve by substitution, we want to isolate one of the variables in one of the equations and substitute it into the other equation. Let's isolate y in the first equation:

3x + 2y = 6
2y = -3x + 6
y = (-3/2)x + 3

Now we can substitute this expression for y into the second equation:

x - y = 3
x - (-3/2)x + 3 = 3
(5/2)x = 0
x = 0

Finally, we can use this value of x to find y:

y = (-3/2)(0) + 3
y = 3

Therefore, the solution is (0,3), which corresponds to choice C.

Question 20

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of
 both lines.
-
A) x = -5; y = 8
B) x = 3, y = 7
C) x = 5; y = -8
D)

Accepted Answer

The answer of Solve the system mentally, without the use...

Quiz 4: Graphing and Optimization

Solve the problem. -Suppose that the supply and demand equations for a logo sweat shirt in a particular week are eek are for fo the demand equation; and d , for the supply equation. Find the equilibrium price and quantit for the supply equation. Find the equilibrium price and quantiy.

Solve the problem. -Daisy has a desk full of quarters and nickels. If she has a total of 23 coins with a total face value of $4.35, how many of the coins are nickels?

Solve the system of equations by graphing. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the system of equations by substitution. -

Write the word or phrase that best completes each statement or answers the question. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. If their total income for 24 tickets was $83.00, how many tickets did Sam sell?

Provide an appropriate response. -Given the matrix B: What is the size of B?

Provide an appropriate response. -Write the augmented matrix for the system.

Write the word or phrase that best completes each statement or answers the question. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the system of equations by graphing. -Use a graphing utility to solve the system . Give the . Give theanswer to three decimal places.

Solve the system of equations by graphing. -

Solve the system of equations by graphing. -

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of both lines. -

Provide an appropriate response. -Given matrix A: What is the size of A?

Solve the system of equations by substitution. -

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of both lines. -