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navik [9.2K]
3 years ago
10

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x+12y=−2x+2 Select the correct answer f

rom the drop-down menu.
Mathematics
2 answers:
Dmitriy789 [7]3 years ago
6 0

Answer: A consistent system has at least one solution. ... y = 7/3 * x - 2/3 is the slope intercept form of the equation 7x - 3y = 2 m = 7/3 b = -2/3 a line parallel to the line created by this equation.




defon3 years ago
5 0

Answer:

The system of equations is a consistent system

Step-by-step explanation:

we have

y=-x+12 ----> equation A

y=-2x+2 ----> equation B

Multiply by -1 equation A

-y=-(-x+12) -----> -y=x-12 -----> equation C

Adds equation B and equation C

y=-2x+2\\-y=x-12\\--------\\0=-2x+x+2-12\\0=-x-10\\x=-10

Find the value of y

y=-(-10)+12=22

the solution is the point (-10,22)

The system has one solution

therefore

The system of equations is a consistent system

You might be interested in
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
Minchanka [31]

Answer:

A) 1/2197

B) 1/5525

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome.

Since there are 52 random cards in a deck of card, the total outcome will be 52.

a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.

Pr(drawing an ace) = 4/52

Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52

Pr(drawing 3 aces and replacing it) = 64/140,608

Pr(drawing 3 aces and replacing it) = 1/2197

b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.

Pr(picking the first ace) = 4/52

Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)

Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)

Pr(drawing 3 aces without replacement) =  4/52*3/51*2/50

Pr(drawing 3 aces without replacement) =  24/132,600

Pr(drawing 3 aces without replacement) = 1/5525

5 0
3 years ago
HELP PLZ RN&lt;3<br> which graph displays a rate of change of 2.5?
Ilya [14]

Answer:

The second graph.

Step-by-step explanation:

The first graph has a negative slope, so that can't be the right answer.

The last graph isn't steep enough to show a rate of 2.5.

This leaves us with the middle graph which is correct.

3 0
3 years ago
Hich statement about the student's answer is correct?
jeka94
D.The answer should be about $10,000.The students answer is not correct.
7 0
3 years ago
Help ASAP CLICK THE PIC
Jet001 [13]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A x 4 = E
lana [24]
A * 4 = E........A = E / 4
B / 4 = E........B = 4E
C + 4 = E......C = E - 4
D - 4 = E.......D = E + 4

A + B + C + D = 100
(E/4) + (4E) + (E - 4) + (E + 4) = 100
E/4 + 6E = 100 ....multiply by 4
E + 24E = 400
25E = 400
E = 400/25
E = 16 <===


7 0
3 years ago
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