The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1
The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1
20^2-12^2=x^2
400-144=x^2
256=x^2
x=16
Answer:
180
Step-by-step explanation:
2^6*3^6*5^3= 2⁶× 3⁶×5³
=64×729×125
=5832000
cube root of 5832000= 180
Answer:
99% Confidence interval: (1196,1973)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 20
Mean, μ = 1584
Standard Deviation, σ = 607
99% Confidence interval:
Putting the values, we get,
Thus, there is a 99% chance that it will break in approximately 1196 to 1972
Answer: x+5/8 = 1 is the equation where x is the remaining coffee.
Step-by-step explanation:
he drank = 5/8
whole coffee = 1
so
let coffee remaining be x
1-5/8 = x
x+5/8 = 1
