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By the what amount does the product of the solutions of `3x^(2)-10x+13=0` exceed the sum of its solutions?

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ENGLISH SAT-PASSPORT TO ADVANCED MATH-EXERCISE
  1. By the what amount does the product of the solutions of 3x^(2)-10x+13=...

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  2. Let leftrightarrow be an operation on p and q defined as p leftrightar...

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  3. The number of units sold, N, of a product follows the realtion N= 120-...

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  4. The graph of f(x)=(3)/(x-5) is shown above: (##VIB343SATMATC04E0100...

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  5. For all non-negative x, let f(x)=x^(3)-8 and g(x)=x-2. For how many in...

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  6. If a^(6)b^(3)=4816 and (a^10)/(b)=301, what is the value of (a^(2))/(b...

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  7. Let ~= be an operation on a and b defined as a ~= b=ab+b^(2). If p ~= ...

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  8. If x^(2)>x^(3)>x , which of the following statements must be correct? ...

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  9. A man puts $P in a bank which offers n% interest compounded annually. ...

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  10. After multiplying by 5, each of the following numbers will have the sa...

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  11. How many two-digit numbers exist such that the difference of the squar...

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  12. If p and q are the roots of x^(2)-4x+1=0 , choose from the options be...

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  13. The graph of a quadratic expression ax^(2)+bx+c is shown beside. Which...

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  14. If f(x)=x^(3)-kx^(2)+2x and f(-x)= -f(x), the value of k is

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  15. Joe throws a ball upwards from a height of 12 feet from ground level. ...

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  16. Which of the following correctly shows the range of the function f(x)=...

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  17. The graphs of f(x) and g(x) are shown below. Which option is true?

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  18. If f(x+2)=3x+11 and g(f(x))=2x, find the value of g(5).

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  19. If a and b are positive integers satisfying (a+3)^(2)+(b+1)^(2)=85 , w...

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  20. Joe throws a ball upwards from a certain height above the ground level...

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  21. If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1, then the value of (a+b) is

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