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n200080 [17]
3 years ago
8

2(4 + 2x) ≥ 5x + 5? please help

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
2(4 + 2x) ≥ 5x + 5

First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4. 
8 + 4x \ge 5x + 5

Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself. 
8 \ge 5x + 5 - 4

Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
8 \ge x + 5

Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3. 
3 \ge x

Fifth, we can switch sides now to get the result of this problem.
x \le 3

Answer: x \le 3
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Answer:

−11n + 10

Step-by-step explanation:

(4-n) + 2 (-5n+3)

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-11n+4+6

The answer:-11n+10

6 0
3 years ago
NECESITO AYUDA URGENTE...
Alborosie

Answer:

Step-by-step explanation:

1- Order in descending order the following polynomial with respect to the

variable n. Then identify the independent term:

6n^3 + 7n^4 - 2n^2 - 5 + 9n^5

The independent term is - 5.  

3- Look at the following polynomial and identify what the terms are

similar:

- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n

The similar terms are + 3m^3 n and - 11 nm^3 and

- 4 m^2 n and 6 m^2 n

4 0
3 years ago
A ____ should ALWAYS be representative of the general population.
neonofarm [45]
I believe the answer is D
7 0
3 years ago
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When investigating times required for drive-through service, the following results (in seconds) were obtained: Restaurant A 120
iris [78.8K]

Answer:

Step-by-step explanation:

Restaurant A data in ascending order : 67 68 72 89 96 97 120 124

Restaurant B data in ascending order : 49 56 76 78 95 98 115 126

                                    <em>Restaurant A</em>

  • Mean         = \frac{67+68+72+89+96+97+120+124}{8} =  91.625
  • Median      = Since there are even number of observations so,  

                           =   \frac{4^{th}obs + 5^{th}obs  }{2} = \frac{89+96}{2} = 92.5

  • Mid range  = \frac{Highest Value-Lowest Value}{2} = \frac{124-67}{2} = 28.5
  • Range         = Highest value - Lowest value = 124 - 67 = 57
  • Variance    = \frac{\sum (X_i - \mu )^{2}}{N-1} ,where Xi are sample values and \mu is mean

       Solving above equation we get, variance = 493.982

  • Standard Deviation = \sqrt{variance} = 22.226

                                     <em>Restaurant B</em>

  • Mean        = \frac{49+56+76+78+95+98+115+126}{8} = 74.375
  • Median    = Since there are even number of observations so,

                          = \frac{4^{th}obs + 5^{th}obs  }{2} = \frac{78+95}{2} = 86.5

  • Mid Range =  \frac{Highest Value-Lowest Value}{2} = \frac{126-49}{2} = 38.5
  • Range         = Highest value - Lowest value = 126 - 49 = 77
  • Variance     =  \frac{\sum (X_i - \mu )^{2}}{N-1} ,where Xi are sample values and \mu is mean

                            = 727.982

  • Standard Deviation = \sqrt{variance} = 26.981

Now comparing the results of two restaurants we conclude that:

  1. Restaurant A on an average takes more time for drive-through service than Restaurant B.
  2. Median time for Restaurant A is also more than Restaurant B.
  3. Restaurant B has more variation in time taken for drive through service as the variance & standard deviation of Restaurant B is more than A.
  4. There is more spread in the time data for Restaurant B as it has more range than A.
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4 years ago
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Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, y-y_{1} =m(x-x_{1}) where y_{1} and x_{1} are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

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