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Greeley [361]
3 years ago
13

*picture from last questions!!*

Mathematics
1 answer:
deff fn [24]3 years ago
5 0
1. Exponential Function
2. Quadratic Function
3. Piecewise Function
4. Absolute Value Function
5. Is choice 4
You might be interested in
13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
4/5 y = 8 , how do we solve pls help fast its urgent, I will mark u brainliest
Butoxors [25]

Answer:

y = 10

Step-by-step explanation:

4/5 y = 8

4/5 y * 5/4 = 8 * 5/4           multiply by reciprocal

y = 10

4 0
3 years ago
Read 2 more answers
Solve for e<br><br> 7(2e−1)−3=6+6e
creativ13 [48]

Answer:

there is no solution

Step-by-step explanation:

8 0
3 years ago
What is the perimeter of a square that is 3 inches on one side
blondinia [14]
Square has 4 sides if each side is 3 you multilpy 3x4= 12inches
8 0
3 years ago
Read 2 more answers
The lengths of four insects are 0.02 inch,1/8 inch,and 2/3 inch list the lengths in inches from least to greatest
Alex Ar [27]
0.02
1/8 = 0.125
2/3 = 0.667

least to greatest : 0.02, 1/8, 2/3....although, u have only listed 3 insects, not 4
3 0
3 years ago
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