Answer:
2
Step-by-step explanation:
![\frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%7D%7B4x%20-%207%7D%20%20-%20%20%5Cfrac%7B14%7D%7B4x%20-%207%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B8x%20-%2014%7D%7B4x%20-%207%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%20%5Ccancel%7B%284x%20-%207%29%7D%7D%7B%5Ccancel%7B%284x%20-%207%29%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%202)
Yes 3/6 is greater than 0/6.
0/6 is equal to 0
Answer:
hope that help for you.....
Answer:
![t=-20ln\left(\dfrac{1}{3}\right)](https://tex.z-dn.net/?f=t%3D-20ln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29)
Step-by-step explanation:
The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:
![A=45e^{-0.05t}](https://tex.z-dn.net/?f=A%3D45e%5E%7B-0.05t%7D)
We want to determine the value of t for which the area, A(t)=15 square kilometers.
![15=45e^{-0.05t}\\$Divide both sides by 45\\\dfrac{15}{45} =\dfrac{45e^{-0.05t}}{45}\\\dfrac{1}{3}=e^{-0.05t}\\$Take the natural logarithm of both sides\\ln\left(\dfrac{1}{3}\right)=ln\left(e^{-0.05t}\right)\\ln\left(\dfrac{1}{3}\right)=-0.05t\\$Divide both sides by -0.05$\\t=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05} \\=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05}\\t=-20ln\left(\dfrac{1}{3}\right)](https://tex.z-dn.net/?f=15%3D45e%5E%7B-0.05t%7D%5C%5C%24Divide%20both%20sides%20by%2045%5C%5C%5Cdfrac%7B15%7D%7B45%7D%20%3D%5Cdfrac%7B45e%5E%7B-0.05t%7D%7D%7B45%7D%5C%5C%5Cdfrac%7B1%7D%7B3%7D%3De%5E%7B-0.05t%7D%5C%5C%24Take%20the%20natural%20logarithm%20of%20both%20sides%5C%5Cln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3Dln%5Cleft%28e%5E%7B-0.05t%7D%5Cright%29%5C%5Cln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3D-0.05t%5C%5C%24Divide%20both%20sides%20by%20-0.05%24%5C%5Ct%3D-%5Cdfrac%7Bln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%7D%7B0.05%7D%20%5C%5C%3D-%5Cdfrac%7Bln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%7D%7B0.05%7D%5C%5Ct%3D-20ln%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29)
Therefore, the time for which the area will be 15 sqyare kilometers is:
-20 ln(1/3) years.
Answer:
Step-by-step explanation:
(-4,-8)...x = -4 and y = -8
slope = 3/2
in y = mx + b form, the m is ur slope
now sub ur info into y = mx + b......we need to find b, the y intercept
y = mx + b
-8 = 3/2(-4) + b
-8 = -6 + b
-8 + 6 = b
-2 = b
so ur equation is : y = 3/2x - 2.....but u need it in another form
y = 3/2x - 2.....subtract 3/2x from both sides
-3/2x + y = -2 ....then u can multiply by -2 and get 3x - 2y = 4....just in case u dont want fractions