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lukranit [14]
3 years ago
6

Find two consecutive numbers with a product of 121

Mathematics
1 answer:
Crank3 years ago
6 0
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
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Can someone please solve
pentagon [3]

Answer:

78

Step-by-step explanation:

Evaluate 6 (2 x^2 - 5) where x = -3:

6 (2 x^2 - 5) = 6 (2×(-3)^2 - 5)

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

6 (2×9 - 5)

Hint: | Multiply 2 and 9 together.

2×9 = 18:

6 (18 - 5)

Hint: | Subtract 5 from 18.

| 1 | 8

- | | 5

| 1 | 3:

6×13

Hint: | Multiply 6 and 13 together.

6×13 = 78:

Answer:  78

7 0
2 years ago
An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
3 years ago
If a right triangle has a hypotenuse of length 20 units and one leg of length 16 units, find the length of the other leg. A. 12
xxTIMURxx [149]

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

a^2 + 16^2 = 20^2

a^22 + 256 = 400

then subtract 256 from 400

a^2 = 144

square root 144

= 12

5 0
3 years ago
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Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represen
user100 [1]

Answer:

The slope of the function is 4040 which represents the monthly fee to remain a member.

Step-by-step explanation:

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3 years ago
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This is my last question can someone help me with my homework.
shutvik [7]

9514 1404 393

Answer:

  C, A, A

Step-by-step explanation:

In general, you ...

  • identify the coefficients of one of the variables
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In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:

  multiply equation 2 by -4 . . . (eliminates x)

Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:

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3 years ago
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