Let
A(4,5) B(8,7) C(12,9) D(16,11)
1) Find the slope AB
m=(y2-y1)/(x2-x1)
m=(7-5)/(8-4)=0.5
2) Find the slope BC
m=(9-7)/(12-8)=0.5
3) Find the slope CD
m=(11-9)/(16-12)=0.5
The points represent a linear function
so
<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>
we know that
y-y1=m*(x-x1)
y-5=0.5*(x-4)
y=0.5*x-2+5
y=0.5*x+3
therefore
<u>the answer is</u>
The equation is equal to y=0.5*x+3
The answer is 6.75 hope that helped
Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
Answer:
1/2 and 2/4 because 2/4 can be simplified to 1/2
C : a car can travel 80 miles on 2 gallons of gasoline