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...

4 - hundred thousands
0 - ten thousands
7 - thousands
6 - hundreds
5 - tens
3 - ones

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...

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

n - 3/8 = 1/8
+ 3/8 + 3/8
______________
n + 0 = 1/8 + 3/8
n = 4/8 = 1/2