Answer:
x = 6 and x = 11.
Step-by-step explanation:
sqrt(x - 2) + 8 = x
sqrt(x - 2) = x - 8
(sqrt(x - 2))^2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 16x + 64 = x - 2
x^2 - 17x + 66 = 0
We can use the discriminant to find whether there are solutions to the equation.
b^2 - 4ac; where a = 1, b = -17, and c = 66.
(-17)^2 - 4 * 1 * 66
= 289 - 264
= 25
Since the discriminant is positive, we know there are two valid solutions to the equation.
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
The solutions are when x - 6 = 0 and x - 11 = 0.
x - 6 = 0
x = 6
x - 11 = 0
x = 11
Hope this helps!
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
41,223.98
Step-by-step explanation:
Find the volume of the full sphere, then divide by 2 to get 1/2 of a sphere.
The answer for the full sphere is 82447.96 but divide by 2 and get 41,223.98.
Since it’s a square room, each side has length of 300ft. Simply use the Pythagorean Theorom to find the length from one corner to the opposing corner.
300^2 + 300^2 = c^2
90000 + 90000 = c^2
180000=c^2
Find the square root of 180000
C= 424.264069
The length from opposing corners is roughly 424.26ft
Answer:
Total no. of peppers delivered each day=72
Let the total no. of peppers delivered each day be x
5/8 of the peppers are green
