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Ray Of Light [21]
2 years ago
7

The point (12.-5) is how many units away from the origin

Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer: it 13 units

Let M (-12, 5) be the given point and O (0, 0) be the origin. = 13 units.

Step-by-step explanation:

hope this helps have a nice night ❤️❤️❤️❤️

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Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Mademuasel [1]

We are given the function:

g(x) = 6 (4)^x

 

Part A.

To get the average rate of change, we use the formula:

average rate of change = [g(x2) – g(x1)] / (x2 – x1)

 

Section A:

average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) = 18

 

Section B:

average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) = 288

 

Part B.

288 / 18 = 16

Therefore the average rate of change of Section B is 16 times greater than in Section A.

 

<span>The average rate of change is greater between x = 2 to x = 3 than between x = 1 and x = 0 because an exponential function's rate of change increases with increasing x (not constant).</span>

8 0
3 years ago
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have betw
stealth61 [152]

Answer:

1. 2 ≤ n ≤ 4

2. 4 * 20

3. T < 80

4. (2 * 4) + (4 * 3)

5. 16 ≤ P ≤ 32

Note: The quantities described are as follows:

1) the allowable number of players on a team  

2) the number of points,  , Han's team earns in one round if every player earns a perfect score  

3) the number of points,  , Han's team earns in one round if no players earn a perfect score  

4) the number of players,  , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each

5) the possible number of players in a game with eight teams

Step-by-step explanation:

1. Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32

4 0
3 years ago
Find x<br><br> -x = 7x - 56
solmaris [256]

Answer:

the answer is 7

Step-by-step explanation:

Add the same term to both sides of the equation

-x=7x-56

−x=7x−56

−x−7x=7x−56−7x

3 0
2 years ago
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How much bigger is a 1 1/4-inch button than a 5/8-inch button
ruslelena [56]
I think it would be 5/8
4 0
3 years ago
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Solve for x : ax+v=3(x-c)
never [62]

Answer:

x=\frac{3c+v}{a-3}

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

3 0
3 years ago
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