Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
The half-life of the given exponential function is of 346.57 years.
<h3>What is the half-life of an exponential function?</h3>
It is the value of t when A(t) = 0.5A(0).
In this problem, the equation is:
.
In which t is measured in years.
Hence the half-life is found as follows:
![0.5A(0) = A(0)e^{-0.002t}](https://tex.z-dn.net/?f=0.5A%280%29%20%3D%20A%280%29e%5E%7B-0.002t%7D)
![e^{-0.002t} = 0.5](https://tex.z-dn.net/?f=e%5E%7B-0.002t%7D%20%3D%200.5)
![\ln{e^{-0.002t}} = \ln{0.5}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B-0.002t%7D%7D%20%3D%20%5Cln%7B0.5%7D)
![0.002t = -\ln{0.5}](https://tex.z-dn.net/?f=0.002t%20%3D%20-%5Cln%7B0.5%7D)
![t = -\frac{\ln{0.5}}{0.002}](https://tex.z-dn.net/?f=t%20%3D%20-%5Cfrac%7B%5Cln%7B0.5%7D%7D%7B0.002%7D)
t = 346.57 years.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
ok cool?
Step-by-step explanation:
A = L x W
![8624 = 98 \times w \\ 8624 \div 98 = w \\ 89.83 = w](https://tex.z-dn.net/?f=8624%20%3D%2098%20%5Ctimes%20w%20%5C%5C%208624%20%5Cdiv%2098%20%3D%20w%20%5C%5C%2089.83%20%3D%20w)
so the with is 89.83 yards.
The answer is A>794 just multiply the total number by 0.32