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Ksenya-84 [330]
3 years ago
12

There are 4 children in Maria’s family. In how many ways can you list the children in all possible age orders?

Mathematics
2 answers:
DIA [1.3K]3 years ago
6 0

Answer: u can do 1234 2341 2134 4321

Step-by-step explanation:

g100num [7]3 years ago
3 0

Answer:

you can arrange the children 24 different ways

Step-by-step explanation:

permutations have 6 times as many possibilites. (Another example: 4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24)

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8 0
3 years ago
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Seven times the difference of some number and 1 gives the quotient of 70 and 10, find the number
Agata [3.3K]
7(x-1)=70/10
7x-7=7
7x=14
x = 2

The number is 2.
6 0
3 years ago
Simplify (4x^2+2)÷(2x^2-9x-5)​
frosja888 [35]

Answer:

4.1     Pull out like factors :

   4x2 + 2  =   2 • (2x2 + 1) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2

 of the Trailing Constant :  1

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      3.00        -1     2      -0.50      1.50        1     1      1.00      3.00        1     2      0.50      1.50   

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

 4.3     Factoring  2x2 - 9x - 5 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10   +   1   =   -9   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1 

                     2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (x-5)

              Add up the last 2 terms, pulling out common factors :

                     1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                    (2x+1)  •  (x-5)

             Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

5 0
2 years ago
Describe the pattern of decay for the sequance.
Georgia [21]
256-192= 64

192-144=48

144-108=36

108-81=27

 81- 60.8=20.2

60.8-45.6=15.2

45.6-34.2= 11.4

34.2-25.6=8.6

25.6-19.2= 6.4

19.2-14.4= 4.8

4 0
3 years ago
An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y
nikdorinn [45]
The slope would be 2/3 because that would leave pounds when multiplied by cups.

add 0.5 for the weight of the water jug

y = (2/3)x + 0.5
3 0
3 years ago
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