Answer:
![g(x)=5x+21](https://tex.z-dn.net/?f=g%28x%29%3D5x%2B21)
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
![g(x)-1=5(x+4)](https://tex.z-dn.net/?f=g%28x%29-1%3D5%28x%2B4%29)
Rearranging for slope intercept form:
![g(x)-1=5x+20\\g(x)=5x+21](https://tex.z-dn.net/?f=g%28x%29-1%3D5x%2B20%5C%5Cg%28x%29%3D5x%2B21)
Answer:
8x^2-2x+4x+1=0
2x(4x-1)-1(4x-1)=0
(2x-1)(4x-1)
x=1/2,1/4
Step-by-step explanation:
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Using the expected value, it is found that you should charge $4 to have a fair game.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The expected value is the <u>sum of each outcome multiplied by it's respective probability</u>.
- When you roll two dice, there are
possible outcomes. - We suppose a cost of x.
- In 6 of them, the sum is 7: (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1).
- Thus,
probability of earning a profit of 12 - x.
- 2 of them have sums of 2 or 12, which are (1,1) and (6,6).
- Then,
probability of earning a profit of 36 - x.
- If the outcome is any of the remaining 28, the player loses, thus
probability of losing x.
- The game is fair if the <u>expected value is 0</u>, then:
![\frac{6}{36}(12 - x) + \frac{2}{36}(36 - x) - \frac{28}{36}x = 0](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B36%7D%2812%20-%20x%29%20%2B%20%5Cfrac%7B2%7D%7B36%7D%2836%20-%20x%29%20-%20%5Cfrac%7B28%7D%7B36%7Dx%20%3D%200)
![\frac{6(12 - x) + 2(36 - x) - 28x}{36} = 0](https://tex.z-dn.net/?f=%5Cfrac%7B6%2812%20-%20x%29%20%2B%202%2836%20-%20x%29%20-%2028x%7D%7B36%7D%20%3D%200)
![72 + 72 - 36x = 0](https://tex.z-dn.net/?f=72%20%2B%2072%20-%2036x%20%3D%200)
![36x = 144](https://tex.z-dn.net/?f=36x%20%3D%20144)
![x = \frac{144}{36}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B144%7D%7B36%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
A value of $4 should be charged.
A similar problem is given at brainly.com/question/24855677