What is the value of x in the equation 5(3x + 4) = 23?
2 answers:
Answer:
![x = 0.2](https://tex.z-dn.net/?f=x%20%3D%200.2)
Step-by-step explanation:
<u>Step 1: Distribute</u>
![5(3x + 4) = 23](https://tex.z-dn.net/?f=5%283x%20%2B%204%29%20%3D%2023)
![(5 * 3x) + (5 * 4) = 23](https://tex.z-dn.net/?f=%285%20%2A%203x%29%20%2B%20%285%20%2A%204%29%20%3D%2023)
![(15x) + 20 = 23](https://tex.z-dn.net/?f=%2815x%29%20%2B%2020%20%3D%2023)
<u>Step 2: Subtract 20 from both sides</u>
![(15x) + 20 - 20 = 23 - 20](https://tex.z-dn.net/?f=%2815x%29%20%2B%2020%20-%2020%20%3D%2023%20-%2020)
![15x = 3](https://tex.z-dn.net/?f=15x%20%3D%203)
<u>Step 3: Divide both sides by 15</u>
![\frac{15x}{15} = \frac{3}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B15%7D%20%3D%20%5Cfrac%7B3%7D%7B15%7D)
![x = \frac{1}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
![x = 0.2](https://tex.z-dn.net/?f=x%20%3D%200.2)
Answer: ![x = 0.2](https://tex.z-dn.net/?f=x%20%3D%200.2)
Answer:
x = 1/5
Step-by-step explanation:
5(3x + 4) = 23
Distribute
15x+20 = 23
Subtract 20 from each side
15x+20-20 = 23-20
15x = 3
Divide by 15
15x/15 = 3/15
x = 1/5
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Step-by-step explanation:
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Answer:
![P(x) = -0.25x^2 + 42x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2042x%20-%2090)
Step-by-step explanation:
Given
![C(x) = -17x + 90](https://tex.z-dn.net/?f=C%28x%29%20%3D%20-17x%20%2B%2090)
![R(x) =- 0.25x^2 + 25x](https://tex.z-dn.net/?f=R%28x%29%20%3D-%200.25x%5E2%20%2B%2025x)
Required
Determine the profit function.
Profit function is calculated as thus:
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
So, we have:
![P(x) = -0.25x^2 + 25x -(-17x + 90)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2025x%20-%28-17x%20%2B%2090%29)
![P(x) = -0.25x^2 + 25x + 17x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2025x%20%2B%2017x%20-%2090)
![P(x) = -0.25x^2 + 42x - 90](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.25x%5E2%20%2B%2042x%20-%2090)