MATHEMATICS COLLEGE

Joe solved this linear system correctly. 6x + 3y =6
y = -2x + 2
These are the last two steps of his work.
6x - 6x + 6 = 6
Which statement about this linear system must be true?

A: x must equal 6
B: y must equal 6
C: There is no solution
D: There are infinitely many solutions to this system

Answers

Answer 1

Answer: Since 6x-6x = 0, any number could be used as x to equal 0. The answer is D

Answer 2

Answer:

Answer:

the answer will equal d

Step-by-step explanation:

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A business student at Nowledge College must complete a total of 65 courses to graduate. The number of busi-ness courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non-business courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.

Answers

Based on the constraints and objective function that apply to the business student at Nowledge College, the set of linear equations are:

60x + 24y ≤ 3,000
x + y ≥ 65
x ≥ 23
y ≥ 20

What set of linear equations describe the constraints?

Assume the number of business courses to be x and the number of nonbusiness courses to be y.

The total cost of both need to be less than $3,000 so the inequality is:

60x + 24y ≤ 3,000.

Both courses need to be at least 65 if the student wants to graduate so:

x + y ≥ 65

Business courses should be equal to or more than 23 and nonbusiness courses should be greater than or equal to 20 so:

x ≥ 23

y ≥ 20

Find out more on linear equations at brainly.com/question/12788590.

Answer:

Step-by-step explanation:

A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening with fll ttendance, there were combined. The receipts totaled $3450. How many children attended the show?

Answers

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

$C+S+A=750$

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

$3C+5S+7A=3450$

This equation represents the totaled receipts.

The system :

$C+S+A=750\n3C+5S+7A=3450$

has the following associated matrix :

$\left[\begin{array}{cccc}1&1&1&750\n3&5&7&3450\end{array}\right]$

By performing elementary matrix operations we find that the matrix is equivalent to

$\left[\begin{array}{cccc}1&0&-1&150\n0&1&2&600\n\end{array}\right]$

The new system :

$C-A=150\nS+2A=600$

Working with the equations :

$C = 150 + A\nS = 600-2A$

Our solution vector is :

$\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]$

For example :

If 0 adults attended ⇒ A = 0

$C = 150 + 0 \nC = 150\nS = 600 - 2A\nS = 600$

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

$S = 600 -2A$

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

What is the equation of this line in slope intercept from?

Answers

The correct answer should be B: y = -3x + 2.

Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1. Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.

Which equation could have been used to create this function table? A.
y = 4x

B.
y = 5x

C.
y = x + 7

D.
y = x + 2

Answers

A : for x = 4 y = 16 not 6 FALSE
B : for x = 4 y = 20 not 6 FALSE
C : for x = 4 y = 11 not 6 FALSE
D : for x = 4 y = x + 2 = 6 is
6 The Last one verifying the first row of the table

pls mark as brainliest

The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour

Answers

Did that help

The total length of both tours is 3.25 miles the crystal palace toward his a half mile less than twice the distance of the horseshoe Lake tour

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.