Match the equations of ellipses to their equivalent equations in standard form.
2522-150x+9y2 = 0
16x2 +2887+36y2 = 0
4972 +686 +36y2 = 0
4x2–36y+9y2 = 0
3612 +504x+49y2 = 0
922-54x+25y2 = 0
12 (y – 2)2
32
22
+
=1
(1 + 7)2, y2
t 1
72
12 (y + 4)2
=1
42
62%
(1 – 3)2, 32
32
+ 2 = 1

Afruit stand has to decide what to charge for their produce. they need $10 for 4 apples and 4 oranges. they also need $15 for 6 apples and 6 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

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).