Answer:
Step-by-step explanation:
f(x) = -8x² + 7x³ + 2x - 5
= 7x³ - 8x² + 2x - 5 This meets the definition of a polynomial
Answer:
700.39cm
Step-by-step explanation:
For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope
Using the concept of cross multiplication
30cm=1 cm drop
700 cm=x
30x=700
X=700/30=70/3=23 ⅓
Utilizing pythagoras theorem, the length of pipe will be
L=√(23⅓)²+700²
L=700.38878092417 cm
Rounded off, the length is approximately 700.39 cm
Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
