Sorry for the hand writing. But you want to factor out a 4y^2 which will result in (9y^2-1). Then you will factor out the equation in parentheses to (3y-1)(3y+1). Don’t forget to put the 4y^2 out front!
Because a line always goes past the y-intercept and x-intercept. It's not always both, it can sometimes just be the x-intercept or the y-intercept.
When a line intersects these points, for example if a line was to intersect the x-axis then y would be equal to 0, and the opposite for the y-axis. If a line was to intersect the y-axis x would be equal to 0.
Therefore by using that knowledge, and the equation of the line [ y=mx+c or y-y1=m(x-x1) ], we can find the equation of our line. Of course you would need the gradient of that line (the value "m").
The maximum positive value that the correlation coefficient can have is 1.
Thus, 0.88 is pretty close, indicating a positive slope for the regression line and points lying close to that line.
Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue
Step-by-step explanation:
Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.
The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.
In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that
4x + (1.5 × 60) = 2.5(60 + x)
4x + 90 = 150 + 2.5x
4x - 2.5x = 150 - 90
1.5x = 60
x = 60/1.5
x = 40
