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1. Find the slope of the line passing through the points (7, โ4) and (โ6, โ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

# what is an alternate metal that will make the same as pop cans? (answer)

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...

# If these two assets are in the same portfolio, would that be better or worse for the portfolio return? Can you tell by a quick examination, and how (answer)

You didn't include the two assets.

# calculate the expected return (answer)

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%...

# will the point (-8,-1) satisfy the inequality of x-y>10? yes or no? (answer)

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 divided by 1/4 (answer)

(3/2) รท (1/4) = (3/2) * 4 = 12/2 = 6

# what is 4/9 y=16 (answer)

(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