53-56 Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
53. x4 + x - 3 = 0, (1, 2)
54. In x = x - VF, (2, 3)
55. et = 3 - 2x, (0, 1)
56. sin x = x2 – x, (1, 2)
Prove that the equation has at least one real root​

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

What is the y-intercept of the line given by the equation

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec