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2 years ago

Luke says you can always add and always multiply to join groups. Is he correct?

Mathematics

2 answers:

sergeinik [125]2 years ago

7 0

Suppose G is a finite group having elements natural numbers.

→→→ If you add any two members of the group, you will get member of the group,because a group satisfy closure property with respect to addition.

For example, 2 ∈N,3∈N→2+3=5∈N

→→Similarly, if you multiply any two members of the group, you will get member of the group,because a group satisfy closure property with respect to multiplication.

For example,: 2 ∈N,3∈N→2×3=6∈N

Yes, He is Correct.

dezoksy [38]2 years ago

5 0

Yes, because only equal groups can be multiplied

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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

2 years ago

X=3y-11, 4x-3y=-26 Substitution

Bad White [126]

=3y-11, 4x-3y=-26 Substitution

3 0

3 years ago

X<9.7 on a line graph

fiasKO [112]

The inequality x < 9.7 tells us x needs to smaller than 9.7.
A number like 5 will be fine. Because 5 < 9.
But someone like 10 won't be fine.
Because 9 < 10.

Even 9.7 won't be suffice.

Because 9.7 < 9.7 does not make sense. If it was 9.7 <= 9.7 then it would be fine.

4 0

2 years ago

In right triangle ABC, the measure of A is 25° and AB = 1. What is the length of AC?

gregori [183]

The answer will ve
1)0.9063

6 0

2 years ago

Vaughn Manufacturing has three product lines. Its only unprofitable line is Corn Nuts, the results of which appear below for 201

elena-14-01-66 [18.8K]

Answer: The relevant costs are $18000 in the decision to eliminate this product line.

Step-by-step explanation:

Since we have given that

Sales = $1530000

Variable expenses = $1040000

Fixed expenses = $600000

Net loss = $110000

If product line is eliminated, 30% of the fixed expenses can be eliminated.

So, it becomes,

30% of $600000 is given by

$0.3\times 600000\\\\=\$18000$

Hence, the relevant costs are $18000 in the decision to eliminate this product line.

6 0

2 years ago