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igomit [66]
3 years ago
14

For what values of X are the statements below true

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

See solutions below

Step-by-step explanation:

For what values of X are the statements below true

A. 1x>x+1

x >x+1

x-x>1

0x > 1

x > 1/0

X >∞

B) |1-x|>3

The fucntion can both be positive and negative

For the negative function

-(1-x) > 3

-1+x > 3

x > 3+1

x > 4

For the positive function

1-x > 3

-x > 3 - 1

-x > 2

x < -2

Hence the required solutions are x > 4 and x < -2

c) For the equation

|x-15| < 0

-(x - 15) < 0

-x + 15 < 0

-x < -15

x > 15

Also x-15 < 0

x < 0+15

x < 15

Hence the required solution is x > 15 and x < 15

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Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the poss
NISA [10]

Answer:

X = {0, 1, 2, 3, 4}

Step-by-step explanation:

If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.

Let's see some examples:

If the PIN is 0000 then X = 4

If the PIN is 2045 then X = 3

If the PIN is 7546 then X = 0

From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.

Thus X = {0, 1, 2, 3, 4}

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3 years ago
Approximately how many times greater is 1.2×10^3 than 4×10^−1 ?PLZ HELP!!!
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3000 times

First answer is 1200 and second is 0.4 so answer is 3000
5 0
4 years ago
Write the equation 2 x + 3y = 12 in slope intercept form
kicyunya [14]

Answer:

y = -2/3x + 4

Step-by-step explanation:

2x + 3y = 12

3y = -2x+12

y = -2/3x + 12/3

y= -2/3x + 4

6 0
2 years ago
What is 3 1/8 - 1 7/8=
photoshop1234 [79]

Answer:

1  1/4

Step-by-step explanation:

3 1/8 - 1 7/8

I like to line them up vertically

3 1/8

- 1 7/8

---------------

We need to borrow from the 3

Take 1 from the 3 and make it 8/8

 2 (1/8+8/8)

- 1 (7/8)

---------------------

2 (9/8)

- 1 (7/8)

---------------------

1  2/8

Simplify the fraction by dividing by 2 on the top and bottom

1 1/4

6 0
3 years ago
A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it
Gemiola [76]

Answer:

The maximum height it reaches is 20 meters

The time taken by it to reach the height is 2 seconds

Step-by-step explanation:

The formula of the height of the stone is h = u t - \frac{1}{2} g t², where

  • t is the time to reach the height h
  • u is the initial velocity
  • g is the acceleration of gravity

∵ A stone is thrown vertically upwards with an initial velocity of 20 m/s

∴ u = 20 m/s

∵ g = 10 m/s²

→ Substitute them in the equation above

∴ h(t) = 20t - \frac{1}{2} (10) t²

∴ h(t) = 20t - 5t²

→ Arrange the terms of the right side according to the greatest power of t

∴ h(t) = -5t² + 20t

To find the maximum height and the time of it find the vertex of the quadratic function (m, k), where m = \frac{-b}{2a} and k is the value of h at t = m, a is the coefficient of t² and b is the coefficient of t

∵ The coefficient of t² is -5

∴ a = -5

∵ The coefficient of t is 20

∴ b = 20

→ Use them to find h

∵ m = \frac{-20}{2(-5)} = \frac{-20}{-10} = h

∴ m = 2

→ Substitute it in the equation above to find k

∵ h(m) = k

∵ k = -5(2)² + 20(2)

∴ k = -5(4) + 40

∴ k = -20 + 40

∴ k = 20

∴ The coordinate of the vertex of the function are (2, 20)

→ m represents the time of the maximum height and k represents

  the maximum height

∴ The maximum height it reaches is 20 meters

∴ The time taken by it to reach the height is 2 seconds

5 0
3 years ago
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