Answer:
Step-by-step explanation:a = m + (p-1)*d
b = m + (q-1)*d
c = m + (r-1)*d
p(b-c) = p*(q-r)*d
q(c-a) = q*(r-p)*d
r(a-b) = r*(p-q)*d
p(b-c)+q(c-a)+r(a-b)
= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d
= (pq-pr+qr-pq+rp-qr)*d
= 0*d = 0
So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull
Answer:
(a) P(t) = 12100*(1.04^t)
(b) in 2008, estimate of population is 16560 (to the nearest integer)
Step-by-step explanation:
Population in 2000, P(0) = 12100
Growth rate = 4% each year
(a) function model for the t year after 2000 (exponential model)
P(t) = 12100*(1.04^t)
(b) for 2008,
P(2008-2000)
= P(8)
= 12100*(1.04^8)
= 12100 * 1.368569
= 16559.7
= 16560 (nearest integer)
3:2
the greatest common factor amongst 9 and 6 is 3
Answer:
c = (b+3a)/2
Step-by-step explanation:
<u>Solve for c:</u>
<u>Multiply both sides by abc:</u>
- abc/ac = 2abc/ab - 3abc/bc
- b = 2c - 3a
- b + 3a = 2c
- 2c = b + 3a
- c = (b + 3a)/2
3. The simplest form of √42 is √42
4. √75
Rewrite 75 as 5^2 * 3
Now you have √(5^2*3)
Pull squared terms out from the radical to get 5√3
