9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
__
Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer:
Confidence interval = [ 0.4432, 0.4968]
Step-by-step explanation:
Registered voters approved of the job Barack Obama was doing as president,
p = 47% = 0.47
Total sample size, n = 2,294
Confidence level = 99%
now,
confidence interval for the proportion of all registered voters who approved of the job Barack Obama was doing as president
= p ±
for 99% confidence level, z value is 2.58
= 0.47 ±
= 0.47 ± 0.0268
or
Confidence interval = [0.47 - 0.0268, 0.47 + 0.0268 ]
or
Confidence interval = [ 0.4432, 0.4968]
Equilatral
equi-equal
lateral-side
sides have to be equal
therefor
4n=2n+10=7n-15
minus 2n from everybody
2n=10=5n-15
2n=10
divide 2
n=5
see if that works
10=5n-15
10=5(5)-15
10=25-15
10=10
true
n=5
yha
Answer:
your answer would be 21x-49/7x^2+4
Step-by-step explanation:
21 x -49
-----------
7x^2+4