-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
Answer:
Step-by-step explanation:
<u>The function in vertex form:</u>
<u>x- intercepts are 15 and 35:</u>
- 0 = a(15 - 25)² + 32 or 0 = a(35 - 25)² + 32
- 0 = a*100 + 32
- 100a = - 32
- a = -32/100
- a = -8/25 or -0.32
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Subtract 1:
x/4=2
multiply by 4:
x=8 which is the answer
Answer:
Option B.
Step-by-step explanation:
(f-g)(x) = f(x)-g(x)
= (5x²-3) - (x²-4x-8)
=5x²-3 -x² +4x +8 ( - sign outside will multiply each sign inside)
=4x² +4x + 5
