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3 years ago

Which of the following has a finite solution for a three-variable system of equations?

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Answer:

A. three planes intersecting at a point

Step-by-step explanation:

Whenever three planes intersect at a point, then we have an ordered triplet (x,y,z) that is a solution to the associated system of equation.

This is a unique solution and it is finite.

However three planes intersecting at a line gives infinitely many solutions.

Three or two parallel planes may have no solution or or infinitely many solutions when they coincide.

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What is 1 fifth divided by 6

IgorC [24]

1/5 divided by 6

6 = 6/1

When dividing fractions, we follow a rule called "Keep, change, flip."

It then becomes: 1/5 * 1/6 = 1/30

1 fifth divided by 6 equals 1/30

7 0

3 years ago

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What is -5/8 times 2/3 equal in fraction form

anastassius [24]

Answer: -5/12

Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.

So in this problem, the 2 and 8 cross-cancel to 1 and 4.

Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.

Now we can multiply across the numerators and across the denominators.

So we have 5 · 1 which is 5 and 4 · 3 which is 12.

So our answer is -5/12.

Be very careful with your signs!

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3 years ago

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Which graph shows data whose r-value is most likely closest to 0?

Alexxandr [17]

Answer:

D) A graph shows both axes unnumbered. Points are scattered all over the graph.

Step-by-step explanation:

The value of "r" tells you how strong the correlation is between the independent and dependent variables. If its close to 0, then there will be hardly any correlation, so a good example of this is the 4th option where there's no pattern in the data set.

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2 years ago

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My question is ''If this stack of magazines is about 1m tall, how much magazines do you thinkg would be in there'' please tell m

natita [175]

A meter is about 3 feet and a magazine is about 1 inch thick. so 36 inches would mean 36 magazines

5 0

3 years ago

X-y+z=-4 3x+2y-z=5 -2x+3y-z=15 How do I solve this?

Lera25 [3.4K]

$1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\\\\2)\ \ \ 3x+2y-z=5 \\.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \\.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \\.\ \ \ \ \Rightarrow\ \ 4x+y=1\\\\3)\ \ \ -2x+3y-z=15\\.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\\.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\\.\ \ \ \ \Rightarrow\ \ -x+2y=11\\--------------------\\$

$z=-4-x+y\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\\ \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \\\\\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \\-------\\y+8y=1+44\\9y=45\ /:9\\y=5\\\\-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\\\\z=-4-x+y=-4-(-1)+5=-4+1+5=2\\\\Ans.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2$

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3 years ago