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lord [1]
3 years ago
10

How would you do this problem? :

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
L = 3 + w

2(L+w) < 52.  Substitute the first equation into inequality

2(3 + w +w) < 52
2(3+2w) < 52      Divide both sides by 2
3 + 2w  < 26
2w < 26-3
2w < 23
w < 23/2
w < 11.5

Recall, L = 3+w.
w < 11.5  Add 3 to both sides.
w+3 < 11.5 +3
L < 14.5.

The width is less than 11.5, and the length is less than 14.5.
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By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i &lt; ji
Dafna11 [192]

Answer:

There are a total of  { 6 \choose 3} = 20 functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

{6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20  

3 0
3 years ago
Pls help me with this​
timofeeve [1]

Answer:

B?

Step-by-step explanation:

I think it's B because that has the x and y flipped but that's just my guess so do what u want with that info lol

5 0
2 years ago
Read 2 more answers
What is the solution to the system of equations graphed below? <br> (2,0)
zysi [14]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Can someone help me out with this question?
adelina 88 [10]
3x/4 - x/3

To simplify this, we need to first find a common denominator, or the Greatest Common Factor (GCF) of the two denominators (4 and 3).  The GCF of 3 and 4 is 12. 

Now, we have to multiply the numerator AND denominator of each individual term by the same factor such that the denominator equals 12.

So for the first term, 3x/4, we know that 12/4 = 3, therefore we need to multiply the fraction by 3/3, which is equivalent to 1.

3x/4 * 3/3 = 9x/12

Now, let's do the same for the other term x/3.  We know that 12/3 = 4, therefore we need to multiply the fraction by 4/4, which is equivalent to 1.

x/3 * 4/4 = 4x/12

Now, lets substitute these equivalent fractions back into the original expression.

3x/4 - x/3 = 9x/12 - 4x/12 = 5x/12

Thus, your answer is #4, or 5x/12
7 0
3 years ago
Which ordered pair is a solution to the system of inequalities {y &lt;3x-1<br> y&gt;|x-2|
saul85 [17]

Answer:

(4, 4)

Explanation:

  • I have solved it using graph.

(4, 4) is the only point which lies inside both of the inequalities.

3 0
2 years ago
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