(9x^2+10x+c) = (3x+b)^2
= 9x^2 + 6b x+ b^2
1) 6b= 10
b+ 5/3
2) c=b^2
c= (5/3) ^2
c= 25/9
(9x^2+10x+25/9)=(3x+5/3)^2
I hope this helps:)
The answer is (6,-4). By the way, this was very hard to read.
Since the population of Guatemala follows an exponential
growth, therefore the equation describing the population over time should be in
the form:
p = p0 (1 + r)^t
where,
p = is the population at specified time t
p0 = is the initial population (measured starting year
2000) = 12.7 m
r = the growth rate
t = time in years
A. Calculating for the growth rate r when p = 30 and t =
20:
30 = 12.7 (1 + r)^20
1 + r = (30 / 12.7)^(1/20)
r = (30 / 12.7)^(1/20) – 1
r = 0.0440
So the equation is:
p = p0 (1.0440)^t
B. Calculating for the growth rate r when p = 30 and t =
125:
30 = 12.7 (1 + r)^125
1 + r = (30 / 12.7)^(1/125)
r = (30 / 12.7)^(1/125) – 1
r = 0.0069
So the equation is:
p = p0 (1.0069)^t
Answer:
Standard error for the distribution of means = 0.4474
Step-by-step explanation:
Standard error for the distribution of means is given as
σₓ = σ/√n
where σ = standard deviation = 2.237
n = sample size = 25
σₓ = (2.237/√25)
σₓ = 0.4474
Hope this Helps!!!