Answer:
2.5e-0.04x = 1.2 + 0.2x
Step-by-step explanation:
Given that:
Insect A:
Initial population, Po = 2.5 million
Rate of decline = 4%
Insect B:
Initial Population (Po) = 1.2 million
Yearly increase = 200,000 = (200,000/1,000,000) = 0.2
For insect A:
P(t) = Po(1 - r)^t = Po*e^-rt
Po*e^-rt = 2.5e^-0.04t ----(1)
For Insect B:
P(t) = Po + (yearly increase) * t
P(t) = 1.2 + 0.2t - - - - - (2)
Equating (1) and (2)
2.5e^-0.04t = 1.2 + 0.2t
-10v^9+8v^6+2v^5
10=5*2
8=2^3
2=2
The common factor is 2 and its least exponent is 1
The least exponent for the variable v is 5
Then, the GFC of the polynomial is 2v^5
Factoring:
2v^5 [ -(10v^9)/(2v^5)+(8v^6)/(2v^5)+(2v^5)/(2v^5) ] =
2v^5 (-5v^(9-5)+4v^(6-5)+1) =
2v^5 (-5v^4+4v+1)
2-1 reversed is turning it around : 1-2 which equals -1 because there is one left over. B is your answer and hoped I helped!
9x^2+t+25=(ax+b)^2
9x^2+t+25=a^2*x^2+2abx+b^2 so
a^2=9 so a=3
b^2=25 so b=5 then
t=2ab using a and b from above
t=2*3*5=30
So the missing term is 30x
Answer:
1) y=(-1/4)x+(11/4)
2) y=(4)x-33
3) y=(2/3)x-11/3
4) y=(5)x-2
5) y=(3)x-7
6) y=(-1/4)x+(6)
Step-by-step explanation:
1) y=mx+b 3=(-1/4)(-1)+b b= 11/4
2) y=mx+b -5=(4)(7)+b b= -33
3) y=mx+b -5=(2/3)(-2)+b b= -11/3
4) y=mx+b 3=(5)(1)+b b= -2
5) y=mx+b -1=(-3)(-2)+b b= -7
6) y=mx+b 7=(1/4)(4)+b b= 6
