We will use the substitution:
t = x² ;
t² + 21 x - 100 = 0
t² + 25 t - 4 t - 100 = 0
t ( t + 25 ) - 4 ( t + 25 ) = 0
( t + 25 ) ( t - 4 ) = 0
t 1 = - 25, t 2 = 4
x = √t
Answer:
The roots are:
x 1 = 5 i
x 2 = - 5 i
x 3 = - 2
x 4 = 2
The equation is non linear because it doesn’t have a constant rate of change.
The table represents a non linear function, as the x values increase the y values increase at different rates.
1st job $8.50 per hour
if h hours is worked per week in the restaurant, hence the total amount in the restaurant
= 8.5*h = 8.5h
For cleaning the house once a week to earn $25
Total from the two jobs = (8.5h + 25)
(h) = (8.5h + 25)
if 12 hours and 45 minutes was scheduled for the week.
h =12 hours 45 minutes; 45 minutes = 3/4 hour = 0.75 hour
h =12 hours 45 minutes = 12 + 0.75 = 12.75 hours.
(h) = (8.5h + 25) h = 12.75
(h) = (8.5*12.75 + 25)
(h) = (8.5*12.75 + 25) = 108.375 + 25 = 133.375 <span>≈ $133.38
So the answer is option
</span>
<span>d. (ℎ) = 8.5ℎ + 25; $133.38</span>
Hope this explains it.
