Answer:
x = 
Step-by-step explanation:
Given
- 
= 
← factor denominator
- = 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x =
However, x ≠ - 1 for reason given above, then
solution is x =
Answer:
<u>The equation would be:</u>
<u>p = 10,000 * (1 + 0.2)∧ t</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Current population of a town = 10,000 inhabitants
Growth rate of the population = 20% annually
2. Which equation could be used to find the population after T years?
p = Population of the town after t years
t = Number of years
We will use the following equation:
<u>p = 10,000 * (1 + 0.2)∧ t</u>
For example, let's calculate the population after 6 years, replacing with the real values, we have:
p = 10,000 * (1 + 0.2)⁶
p = 10,000 * 2.986
p = 29,860 inhabitants
Step 1: -4(3x-1) becomes -12x+4
step 2: -12x+4=12-8x
step 3: add 12x to both sides, 4=12+4x
step 4: subtract twelve from both sides -8=4x
step 5: divide by 4, x=-2
Y is 15 and x is 14 mark me as brainless
