All categories

3 years ago

Find two consecutive numbers with a product of 121

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

You might be interested in

Can someone please solve

pentagon [3]

Answer:

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:

$n= 75, 582$

$n= 2300$

$n = 253$

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:

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

Read 2 more answers

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:

i promise its right

5 0

3 years ago

Read 2 more answers

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
swap them, and negate one of them
multiply the corresponding equations by the "adjusted" coefficients.

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:

multiply equation 1 by 3 . . . (eliminates y)

These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.

The other problems are worked in a similar fashion.

8 0

3 years ago