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: 8.3 ounces
Step-by-step explanation:
simple, there's a flat fee for 1 ounce, then 23 cents for each ounce following.
so $2 - $0.32 = $1.68
1.67 / 0.23 = 7.3 ounces
7.3 ounces + 1 ounces (from the flat fee we subtracted)
which equals 8.3
Angle A is 29 and Angle B is 61. It’s problem can be solved by written the equation X+X+32=90. This becomes 2X+32=90 subtract 32 from each side making 2X=58 divide by 2 X=29 and just plug x in to solve for both angle names.
Answer:
Slope = 67 - 68 / -43 + 49
= -1 / 6
= - 1/6
Hope this helps
Answer:
yes
Step-by-step explanation:
