Which of these equations has a graph that is tangent to the x-axis at one of its intercepts? choose all the polynomials that have this property.
y = x^2 + 6x + 9
y = –x^3
y = (x + 2)(x + 6)^2
y = (x – 5)(x + 3)(x + 1)(x – 5)
y = x^4

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

What is the ratio of the length of an object in yards to the length of the same object in miles?