max is at vertex
in form 
the x value of the vertex is 
given, 
a=6, b=0
the x value of the vertex is -0/(2*6)=0
the y value is 
so vertex is at (0,-1)
since the value of a is positive, the parabola opens up and the vertex is a minimum value of the function
therefore that value is the smallest value the function can be
domain=numbesr you can use for x
range=numbesr you get out of inputting the domain
domain=all real numbers
range is {y | y≥-1} since y=-1 is the minimum
Answer:
ratio of hours lisa works to hours lisa sleeps= 3:8
Step-by-step explanation:
lisa goes to school for 7 hours per day lisa works 3 hours per day
Lisa sleeps 8 hours per day.
For the ratio of hours lisa works to hours lisa sleeps
ratio of hours lisa works to hours lisa sleeps= hours Lisa works/hours Lisa sleeps
ratio of hours lisa works to hours lisa sleeps= 3/8
ratio of hours lisa works to hours lisa sleeps= 3:8
Answer:
no
Step-by-step explanation:
1 4/5 = 1 8/5 if you make a common denominator
2^2x=5^x−1
Take the log pf both sides:
ln(2^2x) = ln(5^x-1)
Expand the logs by pulling the exponents out:
2xln(2) = (x-1)ln(5)
Simpligy the right side:
2xln(2) = ln(5)x - ln(5)
Now solve for x:
Subtract ln(5)x from both sides:
2xln(2) - ln(5)x = -ln(5)
Factor x out of 2xln(2)-ln(5)x
x(2ln(2) - ln(5)) = -ln(5)
Divide both sides by (2ln(2) - ln(5))
X = - ln(5) / (2ln(2) - ln(5))
Answer:
N = 4
Step-by-step explanation:
