Step-by-step explanation:
f(x)=3x3−21x2+36xf(x)=3x3-21x2+36x
Set 3x3−21x2+36x3x3-21x2+36x equal to 00.
3x3−21x2+36x=03x3-21x2+36x=0
by Solving for x
x=0,4,3
So after one month, FE (fitness explosion) costs $26 and Fitquest is $70; two months it's FE = $52, FQ = $85; three months it's FE = $78, FQ = $100; four months FE = $104, FQ = $115; five months FE = $130, FQ = $130. So answer C. 5 months is correct.
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for doing clerical be y
we are told that Carson would like to earn $96 weekly
She babysits for $6 per hour
and earned $8 per hour doing clerical work
6x+8y=96---------------1
Carson cannot work more than a total of 15 hours per week
5x+y≤15-------------2
The system of equation for the situation is
6x+8y=96
5
x+y≤15
y=15-5
x
put y=15-5
x in eqn 1
6x+8(15-5
x)=96
6x+120-40x=96
collect like terms
6x-40x=96-120
-34x=-24
x=24/34
x=0.7
Approximately 1 hour babysitting
put x= 0.7 in 5x+y≤15
5(0.7)+y≤15
3.52+y≤15
y≤15-3.52
y=11.4
Approximately 11 hours doing clerical work
Answer:
69.02
Step-by-step explanation:
Mrs Davis is at point a, and the bobcat is at point c.
The tree makes a right angle with the ground.