1) Find whether the function, f(x) has a local or absolute maximum or minimum.
Calculate the first derivative: f '(x) = 3x^2 + 8
Maximum or minimum => f '(x) = 0 => 3x^2 + 8 = 0 => 3x^2 = -8
Which has not a real solution because x^2 is always positive.
Then there is not maximum or minimum.
Then that function is or increasing or decreasing in all the domain and it can have maximum one real root.
Yet we have to show if there is one root or none root.
if you make x = 1 you find f(x) = 1^3 + 8(1) -19 = 1 +8 - 19 = -10
If you make x =2, you find f(x) = 2^3 + 8(2) -19 = 8 + 16 - 19 = 5
Then f(x), given that it is continuos, will have a zero between x =1 and x = 2, which corresponds to the only root of the function.
I think you would put 5 since there are 5 dots.
Answer:
Average speed is 48 km per hour
Step-by-step explanation:
A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr
Distance traveled is 16 km and the time taken is 20 minutes
convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes
so time = 1/3 and distance = 16
Average speed = distance by time
Average speed is 48 km per hour
Answer:
<h2>
y=6.25x+8.5</h2>
Step-by-step explanation:
Step one:
Given data
amount of money earned per hour= $6.25
amount of money made in tips= $8.5
if x represents the number of hours worked and
y represents the total amount earned
The linear function for the total is expressed as
y=mx+c
Step two:
Hence for the situation given the expression for the total is
y=6.25x+8.5
Say Kayla worked for 2 hours
that is x=2, the total she would have earned is
y=6.25(2)+8.5
y=12.5+8.5
y=21
For a 2 hour work, Kayla will make $21
Answer:
That is already at its simplest form.
Step-by-step explanation:
(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for <em>x</em>.