-5x+10x+3=5x+6 how many solutions does this equation have?
2 answers:
Answer:
No solution
Step-by-step explanation:
Both of these equations simplify to the same slope. If two equations have the same slope that means they are parallel. Parallel lines never intersect so there will be no solution.
Lets simplify both equations:
1. (combine like terms, -5x and 10x)
(this is the simplest form)
2. (This is the simplest form it can get)
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Answer:
The standard form of the equation is 49t² - 75t + 3 = 0
The solution of the equations are 1.49 and 0.041
Step-by-step explanation:
* Lets explain how to solve the problem
- The standard form of the quadratic equation is ax² + bx + c = 0,
where a , b , c are constant and a can not be 0
∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1
- Lets make the left hand side equal to 0
∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides
∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10
∴ 49t² - 75t + 3 = 0
* The standard form of the equation is 49t² - 75t + 3 = 0
∵ ax² + bx + c = 0
∴ a = 49 , b = -75 , c = 3
- Lets use the formula to solve
the equation
∴
∴
* The solution of the equations are 1.49 and 0.041
Sold Last Month: 60 x = 40
Remaining from last month: 60 - 40 = 20
Sold This Month: 20 x = 8
Remaining from this month: 20 - 8 = 12
Answer: there are 12 houses left to be sold