A maximum of 2 and a minimum of 0
<span>-2b^2 -3b+14=0
(-2b - 7)(b - 2) = 0
hope it helps</span>
Answer:
6. 360 inches
Step-by-step explanation:
4n-5=3n+2
subtract 3n from each side
4n -5 -3n = 3n +2 -3n
n -5 = 2
add 5 to each side
n-5+5 = 2+5
n = 7
To solve a equation with a variable, you need to get the variable alone. I got the variable on the left hand side and the constants on the right hand side
0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives. 150 = 400 m/s * T + 0.5*9.80m/s^2 T^2 150 = 400 m/s * T + 4.9 m/s^2 T^2 Arrange as a quadratic formula 0 = 400 m/s * T + 4.9 m/s^2 T^2 - 150 4.9 m/s^2 T^2 + 400 m/s * T - 150 = 0 Now solve for T using the quadratic formula with a=4.9, b=400, and c=-150 The calculated value is 0.373 seconds. Is this value reasonable? Let's check. The initial downward velocity is 400 m/s. So 150/400 = 0.375 seconds. Since the actual time will be a bit less due to acceleration by gravity and since the total time is so short, there won't be much acceleration due to gravity, the value of 0.373 is quite reasonable.