Step-by-step explanation:
cubing both sides (p+1)^3= (7)^3
=> p^3+1/p^3+ 3(p+1/p) = 343
=> p^3+ 1/p^3 + 3(7)= 343
=> p^3+1/p^3= 343-21
=> p^3+1/p^3= 322
hope it helps
In the equation D = rt, the r stands for rate. The equation is saying that distance equals the rate at which you traveled multiplied with the time you traveled. In other words, r is the speed traveled. Example: If the rate at which you travel is 35 miles per hour and you traveled for 2 hours, then you have traveled 35 miles times 2 or 70 miles.
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
Answer:
23x+y=-16
Step-by-step explanation:
