Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
Answer: The correct answer is option A; 78
Step-by-step explanation: The equation representing the line of best fit which is given as
y = 0.9x - 1
depicts the relationship between a player's practice results and actual game results. Whatever value is given as x which is the result from practice would be a good way of predicting a player's result when engaged in the real game.
For the question above, a player with a practice shooting percentage of 88 would have his game shooting estimated by simply inserting the value of his practice percentage into the equation showing the line of best fit shown as follows;
y = 0.9x - 1
Where x = 88
y = 0.9 (88) - 1
y = 79.2 - 1
y = 78.2
y ≈ 78
Therefore the approximate shooting percentage for a player with a practice shooting percentage of 88 would be 78 percent.
Answer:
Step-by-step explanation:
We first complete the square.
y=-x^2+2x+1
y=-x^2+2x-1+1+1
y=-(x-1)^2+2
The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.
The maximum point is (1,2) but the maximum value means the y value which is simply just 2.
Done!
Answer:
180 km
Step-by-step explanation:
3/5 times 300 is 180
