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PLEASE HELP ME ....... Which of the following statements describe the system

PLEASE HELP ME ....... Which of the following statements describe the system {y=3x+2y=y−2x−1? Select two answers. A.consistent B.inconsistent C.infinite solutions D.one solution

2 months ago

Solution 1

Guest Guest #2392666
2 months ago

Answer:

A.consistent

D.one solution

Step-by-step explanation:

Assuming the system has equations

y=3x+2\\y=2x-1

Then we can examine the gradients to make our choice without necessarily solving the equations.

Interestingly, both equations are in slope-intercept form. (y=mx+c) where m=3 is the slope of the first equation and m=2 is the slope of the second equation.

Since the slopes are not the same the lines are not parallel.

Non-parallel lines in the same plane will meet at only one point, there is only one solution.

The system is consistent because there exist a solution.

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What would be my steps to solving this problem: x-2y=10 x+3y=5
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(8, - 1 )

Step-by-step explanation:

One way is as follows

Given the 2 equations

x - 2y = 10 → (1)

x + 3y = 5 → (2)

Subtracting (2) from (1) term by term will eliminate the x- term

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Answer:

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Given\ p(p+2)=0\\\\If\ the\ product\ of\ two\ numbers\ is\ zero.\ one\ of\ the\ number\ must\ be\ zero\ ab=0\Rightarrowa=0\ or\ b=0\\\\p(p+2)=0\\\\p=0\ or\ (p+2)=0\\\\p=0\\\\when\ (p+2)=0\\\\\Rightarrow\ p=-2\\\\Zeros\ are\ p=0\ and\ p=-2

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Answer:

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Step-by-step explanation:

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Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follow: Put the following events in order from least likely to most likely. P(Erin wins) = 0.3 P(Anna wins) = 1/2 P(Elizabeth wins) = 20%
Solution 1

Elizabeth wins, Erin wins and Anna wins is the order from least likely to most likely.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Erin, Elizabeth, and Anna are playing a game.

The probability of winning the game are:

P(Erin wins) = 0.3

P(Anna wins) = 1/2

P(Elizabeth wins) = 20%

Let us convert all to the decimal values.

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The ascending order of these will be 0.2,0.3,0.5.

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So, Elizabeth wins, Erin wins and Anna wins is the order from least likely to most likely.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Solution 2

Answer:

I got this answer correct on khan academy

Step-by-step explanation:

Elizabeth wins, Erin wins, Anna wins.

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