Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Answer:
1st . The shaded region of the graph ....
2nd. The graph line is solid.
4th. The ordered pair (2 ; 5) is part of the solution set.
Step-by-step explanation:
. Because y is <u>greater</u> or equal than the line, everything above the line is part of the solution.
. Since y is greater or<u> equal</u>, the line is solid. If y was only greater the line would have been dotted.
. The pair (2 ; 5) represent the x = 2 w/ y = 5, and reading the graph you can see the at this point the lines passes through it.
27.8 × 9.6 is equal to <span>266.88</span><span>
So, the closest would be A. 280.</span>
