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## Uzair Q.'s Resources

EASY WAY (graphing calculator): 1. graph the equation 2. find the roots (they are -3 -1/2, 2/3) 3. take the smaller two 4. you want a + b, a/b, and ab. these are -7/2, 6, and 3/2. 5. (x + 7/2)*(x - 6)*(x - 3/2) distribute it out and that's your answer     HARD...

To expand on below, for any quadratic equation:   ax^2 + bx + c = 0     The x-intercepts can be found using the formula:   x =  [-b ± √(b2 - 4ac)]         = -5 ± 0  = -5    ...

√36 = 6 √49 = 7 √50 = ?? √64 = 8   Therefore √50 = 7.something

step 1: figure out how many balloons were inflated total x represents the total balloons inflated    x/2 - 3 + 5 - 2 - 6 + 16 = x    simplify left hand side    x/2 + 10 = x                  ...

1. Find the slope of the line passing through the points (7, –4) and (–6, –7). Slope = rise/run = (y2 - y1)/(x2 - x1) = (-4 - -7)/(7 - -6) = (-4 + 7)/(7 + 6) = -3/13 2. |2x + 7| = 1   Split into 2 equations and solve for x: 2x...

1. y = mx + b   2. (12) = (5)(3) + b   3. 12 = 15 + b   4. 12 - 15 = 15 + b - 15   5. -3 = b   y = 5x - 3

Pop cans are made out of aluminum. [Fun fact: aluminum was more expensive than gold before we cheapened electrolysis in the late 1800s]   So you want to find metals with similar levels of malleability and ductility as aluminum. An obvious example would be tin, since many cans are also...

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1. The formula for Expected Return is P*R, where P = probability and R = return.    2. Investments with a lower probability of a  return are riskier. Example:   Case 1 Probability = .5 Return = 400% ------------------- Expected Return = .5*400%...

You just have to plug the numbers in and see if it is true.    (x, y) = (-8, -1)    0. Write out equation:                  x  -    y  > 10   1. Plug in values for x and y:  ...

(3/2) ÷ (1/4) = (3/2) * 4 = 12/2 = 6

(4/9)*y = 16. 1. Multiply each side by (9/4) to get the y by itself.  [9/4]*(4/9)*y = [9/4]*16 2. [9/4]*(4/9) = 1, so we can replace that with 1.  1*y = [9/4]*16 3. Simplify the right side and left side.  y = 144/4 = 36