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Veronika [31]
3 years ago
11

What is the greatest integer that satisfies $6 - x > -9$ ?

Mathematics
1 answer:
g100num [7]3 years ago
6 0

Hi :)

6 - x > -9

6 - 16 > -9

-10 > -9

What I did was substitued an integer for x that would just break even and then be more than -9.

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ANSWER QUICK!! 75 PTS!!!
iogann1982 [59]

Answer:

2) x = -2 , y = 2

3) no solution exists

Step-by-step explanation:

Solve the following system:

{-2 x - 3 y = -2

y = 2 x + 6

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the first equation:

{-2 x - 3 (2 x + 6) = -2

y = 2 x + 6

Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.

-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Isolate terms with x to the left hand side.

Add 18 to both sides:

{-8 x = 16

y = 2 x + 6

Hint: | Solve for x.

Divide both sides by -8:

{x = -2

y = 2 x + 6

Hint: | Perform a back substitution.

Substitute x = -2 into the second equation:

Answer: {x = -2 , y = 2

4 0
3 years ago
The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
Gnoma [55]
Z=Xk228=12kk=228/12k=19Z=18*19Z=342 57=3k57/3=k19=k again Z=8*19Z=152
hope i could help :)
6 0
2 years ago
3x - 5 = 1/2x + 2x solve the equation and please show your work im confused
Monica [59]

Answer:I searched it up on go

Step-by-step explanation:and I got 5x-5+ x/2

8 0
2 years ago
The night watchman in a factory cannot guard both the safe in back and the cash register in front. The safe contains $6000, whil
Zolol [24]

Answer:

The guard should be positioned at the safe

Step-by-step explanation:

The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.

The expected value of robbing the safe is:

EV_{s} = \$ 6000*0.2\\EV_{s} = \$ 1200

The expected value of robbing the cash register is:

EV_{r} = \$ 1000*0.8\\EV_{r} = \$ 800

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.

7 0
3 years ago
Three coins are flipped. What is P(heads, heads, heads)?
pshichka [43]
1/8

Each time the probability for landing on heads in 1/2 or 50% so do 1/2*1/2*1/2=1/8.
5 0
2 years ago
Read 2 more answers
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