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nirvana33 [79]
3 years ago
15

The coughlin family discovered they can stand in a row for their family portrait in 720 diferent ways. How many members are in t

he coughlin family
Mathematics
1 answer:
Alex3 years ago
6 0

There are <em>six</em> (6) members of the family.

The first person in the row can be any 1 of the 6.  For each choice . . .
The 2nd person in the row can be any 1 of the other 5.  For each choice . . .
The 3rd person in the row can be any 1 of the other 4.  For each choice . . .
The 4th person in the row can be any 1 of the other 3.  For each choice . . .
The 5th person in the row can be any 1 of the other 2.  For each choice . . .
The 6th person in the row is the 1 who is left.

Total number of ways to line up = (6 x 5 x 4 x 3 x 2 x 1) = 720 ways .

This number is called " six factorial ", and it's written ' 6! ' .


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I really need help, can someone please help me on both questions​
cupoosta [38]

Answer:

See attached

Step-by-step explanation:

In the questions, find the equation of the dash line then apply the appropriate inequality sign.

In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.

slope of line, m=Δy/Δx

Δy=1-2=-1

Δx= 0--3=3

m= -1/3

Finding the equation of the line;

y-1/x-0 = -1/3

3y-3 =-x

3y=-x+3

y=-1/3 x+1

The inequality can be ;

y> -1/3 x +1 or y<-1/3 x +1  depending on the shaded region as attached

In 2.

You have two graphs that provide the solution of the inequality.

In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)

The slope will be,

m=-5--4/-5--3

m=-5+4/-5+3

m=-1/-2 = 1/2

The equation will be;

y--4/x--3= 1/2

y+4/x+3= 1/2

2y+8=x+3

2y=x+3-8

2y=x-5

y=1/2x -2.5

In the line with points (-3,-4) and (1,-6)

m=-6--4/1--3

m=-6+4/1+3

m=-2/4 = -1/2

Finding the equation of the line

y--4/x--3 = -1/2

2(y+4) = -1 (x+3)

2y+8 =-x-3

2y=-x-3-8

2y=-x-11

y= -1/2x-5.5

The inequality can be ;

y>1/2x + 2.5

y> -1/2x -5.5

or

y< 1/2 x +2.5

y< -1/2x-5.5

Depending on the area shaded as show in the attached graphs

Learn more

  • Solve inequality using graphs https://brainly.in/question/5768234
  • Solution of inequality using graphs brainly.com/question/11234618

Keywords : Inequalities, graph solutions

#LearnwithBrainly

3 0
3 years ago
Give an example of an absolute value inequality whose answers falls between two values. Give an example of an absolute value ine
mel-nik [20]

Answer:

A) Suppose we have an onedimensional situation.

in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:

x ∈(-6ft, 6ft)

we can write this as: IxI < 6ft

b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:

x ∉  [-6ft, 6ft].

or IxI > 6ft.

So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).

8 0
2 years ago
Which expression gives the closest estimate of 268 + 524?
Schach [20]

Answer:

250+500=750 , 268+524=792 so therefore 250+500 is the answer

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Sont au
Sonbull [250]

Answer:

4

Step-by-step explanation:

5

3 0
3 years ago
Combining like term 6k+7k
Nadya [2.5K]
13k is the answer :)
8 0
3 years ago
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