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musickatia [10]
3 years ago
15

Solve the inequality 2(x-6)<1/2 (12x-8) neeed help

Mathematics
1 answer:
Rudiy273 years ago
5 0
Hi there...

2( x - 6) < 1/2(12x - 8)
2x - 12 < (12x- 8)/2
2x - 12 < 6x - 4
2x - 6x < -4 + 12
-4x < 8
Divide both sides by -4
-4x/-4 < 8/-4
x > - 2 
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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
3 years ago
Which transformation on the coordinate plane is a dilation?
Kaylis [27]

Answer:

It is the third one

Step-by-step explanation:

if that was the question even, I chose this as dilation is basically just getting bigger or smaller but without rotation,sliding, and none of the sides should be changing

6 0
2 years ago
The cost of renting a video game is $4 per
Leya [2.2K]

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Step-by-step explanation:

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3 years ago
Solve the system of equations.
Ksenya-84 [330]

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

  • Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

3 0
2 years ago
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