First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
y=6/5x+2
Step-by-step explanation:
1.find the slope(m)
m=y2-y1/x2-x1
m=14-(-4)/10-(-5)
m=14+4/10+5
m=18/15
m=6/5
y-y1=m(x-x1)
y-(-4)=6/5(x-(-5))
y+4=6/5(x+5)
y+4=6/5x+30/5
y=6/5x+30/5-4
y=6/5x+10/5
y=6/5x+2
Answer:
0.81
Step-by-step explanation:
Herd immunity or community immunity is the immunity seen after vaccination of a population wherein the large portion of the population becomes immune to the pathogen. It depends on vaccine efficacy and vaccination rate.
The reproduction number R_o is a factor indicating the number of people that can be infected by the person with the disease. If Ro=5 then one infected person can infect 5 people with Polio virus.
V_c= q_c/E
V_c= Vaccine coverage
q_c= herd immunity threshold
E= Vaccine efficacy= 99%=0.99
V_c= q_c/E
V_c= 0.8/0.99= 0.808= 0.81
Thus, 81% coverage or vaccination for Polio is required to stop spread of Polio in the population.
Step-by-step explanation:
The equation has 100, which represents the cost of the printer, then you add to .05p which stands for each page is .05 and you multiply it by p which would be the amount of pages, so when you do .05p it stands for the equation to to calculate the total cost of pages. Then .25p is the cost times the amount of pages.
Hope this helps, you understand it more.
Answer:
30%
Step-by-step explanation:
