Math (Absolute Value Inequality)
Let a and b be the maximum and minimum value of x, respectively, satisfying the inequality |x+19|+|x−22|≤137, then what is a−b?
Math (Absolute Value Inequality)
Find the maximum value of a such that the following statement is true: If ∣x−8∣<a, then x^2−11x−210<0.
Math (Algebra)
If the ratio of the roots of the quadratic equation x^2−28x+A=0 is 2:5, what is the product of the roots of the quadratic equation x^2+Ax+2A+3=0?
Math (Algebra)
For real numbers a and b, if f(x)=x^2−ax+b satisfies f(5+7i)=2a, what is the product of the two roots of the equation f(x)=0?
Probability
Bret and Shawn are playing a game where each turn the players roll a 20-sided die fair and then add the number they get to their score. The winner is the player with the highest score at the end of the game (there may be a tie). Before the last turn, Shawn is winning by 10 poi...
Trigonometry
The quadratic equation x^2−9x+10=0 has roots tanα and tanβ, where 0∘<α+β<180∘. What is the measure of α+β (in degrees)?
Trigonometry
Γ is the circumcircle of triangle ABC with radius 12√2. If 9cos(∠B+∠C)cos∠A=−1, what is the value of BC?
Math (Algebra)
f(x)=x^4+ax^3+bx^2+cx+d and has real coefficients. If two of the roots are 4−i and 2+3i, what is the value of a+b+c+d?
Math (Algebra)
thanks a lot steve
Math (Algebra)
One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?
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