Answer:
(2, 0)
Step-by-step explanation:
To solve this problem, we have to plot a graph. A graph was plotted using geogebra online graphing calculator. From the attached graph we can see the points that satisfy the constraints: (0,0), (2, 0), (2, 6), (6, 4). But since x,y > 0, this leaves us with B(2, 6), C(2, 0), D(6, 4)
The cost equation is C = 3x + 4y
At point B(2, 6): C = 3(2) + 4(6) = 30
At point C(2, 0): C = 3(2) + 4(0) = 6
At point D(6, 4): C = 3(6) + 4(4) = 34
Therefore the minimum cost is at C(2, 0)
When the ball hits the ground, the height is 0.
0 = 100 - 16t²
0 = (10 - 4t)(10 + 4t)
0 = 10 - 4t or 0 = 10 + 4t
4t = 10 or -4t = 10
t = or t =
Time cannot be negative (unless you have a time machine) so disregard
Answer: t = = 2.5 seconds
120 tennis racquets were sold for $ 18 each
<em><u>Solution:</u></em>
Let x = number that sell for $18 each
Then, 200 - x = number that sell for $33 each
<em><u>The total receipts form these sales were 4800 dollars</u></em>
Thus we frame a equation as:
number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800
Thus 120 tennis racquets were sold for $ 18 each