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Anettt [7]
3 years ago
14

When do you use a solid line for graphing a linear inequality?

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too

Step-by-step explanation:

A dotted line is there to represent that the equation your graphing is either grater than or less than

So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.

I hope this helps!

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
2 years ago
I need a good joke :D
horrorfan [7]

Answer:

My life

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of t
BARSIC [14]
Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft

Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side

We are given that:
area = 120 ft²

Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft

Hope this helps :)
3 0
3 years ago
Read 2 more answers
Based on the information below, choose the correct answers.
lozanna [386]

Since there are 120 payment and the total interest paid was $ 14,644.95. so the average monthly interest can be calculated by:

Average monthly interest = $ 14,644.95 / 120

Average monthly interest = $ 122.04

 

% total interest = ($ 14,644.95) / $ 39,644.95 x 100

% total interest =36.94 %

8 0
2 years ago
A teacher gives a test with questions that fall into 3 levels of difficulty (easy, moderate, and hard).
Tpy6a [65]
When a teacher gives a test with questions that fall into 3 levels of difficulty (easy, moderate, and hard) The scoring method that would best allow her to identify the students who need help is: 
B. weight each question by its difficulty: 1 for easy, 2 for moderate, and 3 for hard.
4 0
3 years ago
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