Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37
/−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
51/3 is equal to 17 hope it helps
Answer:

And for this case the confidence interval is given by:

Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal
Step-by-step explanation:
Let p1 and p2 the population proportions of interest and let
and
the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

And for this case the confidence interval is given by:

Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal
a=adult tickets
s = senior tickets
a+s=465 a = 465-s
23a + 13s = 7145
substitute in a = 465-a
23 (465-s) + 13s = 7145
distrubute
10695 - 23s +13s =7145
combine like terms
10695 - 10s = 7145
subtract 10695 from each side
-10s = -3550
divide by -10
s = 355
senior tickets sold 355