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erik [133]
3 years ago
7

6m+5-3m=7(m-1) help with equation.

Mathematics
2 answers:
Paraphin [41]3 years ago
3 0
6m + 5 - 3m = 7 (m-1)
6m + 2m = 7m - 7
8m = 7m - 7
m = -7

Levart [38]3 years ago
3 0
6m + 5 - 3m = 7m-7 
3m +5 = 7m-7 
-3m       -3m
       5 = 4m -7 
     +7          +7 
      12= 4m 
divide both sides by 4 
answer should be 3
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A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Rom4ik [11]

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

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13

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x

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5 0
3 years ago
An English teacher has 6 short stories, 4 novels, and 23 poems to choose from. How many ways can he assign one of each to his cl
Karolina [17]

Answer:

552

Step-by-step explanation:

This is a problem of permutation which can be solved by rule of fundamental counting principle.

This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.

example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.

_____________________________________________

The given problem is on similar concepts.

here  6 short stories, 4 novels, and 23 poems have to be assigned to his class.

Thus it can be done in 6*4*23 = 552 ways.

5 0
3 years ago
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