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3 years ago

Classify the system correctly Y = 5x +2 10x - 2y = 12

Mathematics

2 answers:

givi [52]3 years ago

7 0

<h3>Answer: Inconsistent System</h3>

Explanation:

If you solve 10x-2y = 12 for y, you get

10x = 12+2y

10x-12 = 2y

2y = 10x-12

y = (10x-12)/2

y = 5x-6

The equation 10x-2y = 12 is the same as y = 5x-6.

The system of equations consists of y = 5x+2 and y = 5x-6. Both have the same slope (m = 5) but different y intercepts (2 and -6). This means the graphed lines will be parallel. Parallel lines never intersect, so there are no solutions. A system is considered inconsistent if it has no solutions.

s344n2d4d5 [400]3 years ago

5 0

Answer:

It's a simultaneous equation because it as two solution

Step-by-step explanation:

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Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can

lesya [120]

Answer:

The set A={(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(1,(2,6),(3,6),(4,6),(5,6),(6,6)}

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

C={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,5),(3,3),(3,5),(3,4),(3,6),(4,1),(4,3),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,3),(6,5)}.

A∩B:{(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6)}

A∪B={(1,2),(2,2),(4,2),(6,2),(2,4),(2,6),(4,4),(4,6),(6,4),(6,6),(3,2),(5,2),(1,4),(3,4),(5,4),(1,6),(3,6),(5,6),(1,3),(1,5),(1,1)(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)}

A∩C={(1,2),(1,4),(1,6),(3,2),(3,4),(3,6),(5,2),(5,4),(5,6)}

Step-by-step explanation:

6 0

2 years ago

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Hcf of two numbers is 2 and lcm is 54 if one of the number is 27 find the other number

anyanavicka [17]

Answer:

Step-by-step explanation:

Given that:

Let the two numbers = a and b

H. C. F of the two numbers = 2

L.C.M of the two numbers = 54

If a = 27 ; b =?

The product of a and b = product of their L. C. M and H. C. F ;

HENCE ;

27 * b = 2 * 54

27b = 108

b = 108/27

b = 4

Hence, second number is 4

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3 years ago

chloe is sorting items at a thrift store. She finds a box of tiny blocks that has 1,344 written on the outside. She can see that

babymother [125]

There is 21 layers in the box.

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3 years ago

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I have $11.60 in dimes and quarters. I have 32 more dimes than quarters. How many dimes and how many quarters do I have?

Kazeer [188]

D=dimes
Q=quarters

D=32+Q
Q=?
D+Q=$11.6
D=(32*10)+Q=
$3.2+Q
$11.6-$3.2=$8.4
Each quarter must include 1 dime from now on because there’s 32 MORE dimes than quarters. $8.4/$0.35=24. (Divide 8.4 dollars by 1quarter+1dime, which is 35 cents.)

35 cents goes into $8.4 dollars 24 times. This means there’s 24 quarters and 24 more dimes. Returning to our original equations,
D=32+24
D=56
Q=24

This follows the rule of having 32 more dimes than quarters and the two add up to the correct amount, $11.60

There’s 56 dimes and 24 quarters

8 0

3 years ago

How do you know if two line segments are parallel?

Annette [7]

D is correct.This is because these lines will never intersect
<span>Their slopes are equal
</span>Their slopes are the same!

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3 years ago

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