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garik1379 [7]
2 years ago
14

Which system of linear inequalities has the point (3, -2) in its solution set?

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

None of the given system of linear inequalities

Step-by-step explanation:

Given

(x,y) =(3,-2)

Required

The line inequalities with the above solution

The first set of linear inequalities, we have:

y < -3

y \ge \frac{2}{3}x - 4

y < -3 implies that the values of y is -4,-5.....

While (x,y) =(3,-2) implies that y = -2

Hence, the first set is wrong

The second set of linear inequalities, we have:

y > - 2

y \ge \frac{2}{3}x - 4

y > - 2 implies that the values of y is -1,0.....

While (x,y) =(3,-2) implies that y = -2

Hence, the second set is wrong

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A ray is a line has one endpoint and a line that goes on forever.
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3 years ago
What is 2 2/5×2 7/9 in simplest mixed number form?
Scorpion4ik [409]

Answer:

6 2/3

Step-by-step explanation:

2 2/5 * 2 7/9

Change each number to an improper fraction

2 2/5 = (5*2+2)/5 = 12/5

2 7/9 = (9*2+7) = 25/9

12/5 * 25/9

Rewriting

25/5  * 12/9

5/1 * 4/3

20/3

Now changing to a mixed number

3 goes into 20 6 times with 2 left over

6 2/3

7 0
3 years ago
After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number in the class be
Vadim26 [7]

Answer:

n+4=32

Step-by-step explanation:

The initial number n gets additional 4 students making the new total number of students to be 32. Therefore, this situation can be represented as

n+4=32

To get the actual number of students before the additio, we make n the subject of formula hence

n=32-4

n=28

Therefore, the initial number was 28 and the equation is n+4=32

Since no choices were provided, the equation that can be modified is n+4=32

8 0
2 years ago
Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5
Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

log  \: {x}^{3}  + log \: 5x = 5log \: 2 - log \:  \frac{2}{5}  \\  \\  \therefore \: log( {x}^{3}  \times 5x) = log  {2}^{5} - log \:  \frac{2}{5}  \\  \\ \therefore \: log( 5{x}^{4}) = log 32 - log \:  \frac{2}{5} \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(32  \times  \frac{5}{2}  \bigg) \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(16  \times  5) \\  \\ \therefore \: 5{x}^{4}=  16  \times  5 \\  \\ \therefore \: {x}^{4}=   {2}^{4}   \\  \\  \huge \purple{ \boxed{\therefore \: {x} = 2}}

4 0
3 years ago
Two fair dice are rolled<br> What is the SAMPLE SPACE of the possible outcomes?<br> SHOW YOUR WORK!
serg [7]

ANSWER

See sample space below

EXPLANATION

The sample space refers to the set of all the possible outcomes.

When two fair dice are rolled, the possible by outcomes are:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

The total number of outcomes is 36.

3 0
3 years ago
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