The solution to the problem is as follows:
2x² - 7x = 3 can be re-written as 2x² - 7x - 3 = 0
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Either by completing the square or using the quadratic formula this can be solved . </span>
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Let's complete the square. </span>
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2x² - 7x - 3 = 2(x² - 3.5x - 1.5) = 2(x - 1.75)² - 9.125....then we can put </span>
2(x - 1.75)² = 9.125 : (x - 1.75)² = 9.125/2 = 4.5625
x - 1.75 = √4.5625 ≈ ± 2.14
<span>x = 1.75 ± 2.14 .....thus x ≈ 3.89 and x ≈ - 0.39
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Answer:the number of student tickets that were sold is 85
the number of adult tickets that were sold is 65
Step-by-step explanation:
Let x represent the number of student tickets that were sold.
Let represent the number of adult tickets that were sold.
MCHS sold 150 tickets at the last basketball game. This means that
x + y = 150
Student tickets cost $3 and adult tickets cost $5. If they sold $580 worth of tickets, it means that
3x + 5y = 580 - - - - - - - - - - -1
Substituting x = 150 - y into equation 1, it becomes
3(150 - y) + 5y = 580
450 - 3y + 5y = 580
- 3y + 5y = 580 - 450
2y = 130
y = 130/2 = 65
Substituting y = 65 into x = 150 - y, it becomes
x = 150 - 65 = 85
Not sure what shape it is I’m assuming triangle. With what you have the answer should be 10.7mi
The first two numbers are rational, because they are rational numbers with a finite number of decimal digits.
The third number is also rational, because 
, which is integer, and thus rational as well.
We can't say that the fourth number is rational, because we don't know how the number continues. A decimal number is rational if its decimal digits are finitely many, or if they show some periodicity. This doesn't seem the case, so the number may be irrational.
The last number is rational, because it is a periodic decimal number, and as such it admits a fraction that generates it.
