Answer: ![0.9999](https://tex.z-dn.net/?f=0.9999)
Step-by-step explanation:
Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Answer:
![\large\boxed{\ln e^4=4}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cln%20e%5E4%3D4%7D)
Step-by-step explanation:
![Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4](https://tex.z-dn.net/?f=Use%5C%5C%5C%5C%5Clog_ab%5En%3Dn%5Clog_ab%5C%5C%5C%5C%5Clog_aa%3D1%5C%5C%5C%5C%5Cln%20a%3D%5Clog_e%20a%5Cto%5Cln%20e%3D1%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C%5C%5C%5Cln%20e%5E4%3D4%5Cln%20e%3D4%281%29%3D4)
These are vertical angles so they are equal so
6a + 11 = 2a + 83
now solve for a
So, we'll say Mia gets $4.50 a day, since a standard weekend is two days, therefore adding up to $9 a weekend. So if Mia were to do her chores for 4 weekends, she'd have a total of $36 but not $40. So if she were to work an extra weekend, so 5 weekends, she'd have a total of $45. So you can say 5 weekends in order to earn more than $40.