Answer:
Step-by-step explanation:
Triangle proportionality theorem,


notice the picture of the graph added here
low and behold, x = -17, y is 0, and x= 15, y is 0
the graph is touching the x-axis, an x-intercept
or so-called, a "solution"
To express a function of the form

in vertex form

where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:

, and

will be the function evaluated at

.
We can infer from our function that

and

. So lets find

:




Now that we have

, we can evaluate the function at 1 to find

:




We have the vertex (1,3) of our parabola, so we can use its vertex form:



We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information:
First three hours of typhoon: rate of Rainfall. = 25mm per hour
Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours
Piecewise function which models Rainfall ad a function of time
Amount of Rainfall as a function of time = f(t)
f(t) = 25t ; if t≤ 3
When typhoon slowed down for an hour :
f(t) = 0;
f(t) = 25*3 ; for t ∈ (3, 4)
Then Rainfall at a constant rate of 20mm for another 2 hours
f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)
Answer: B. 9.9 hours
Step-by-step explanation:
Given : Paul can install a 300-square-foot hardwood floor in 18 hours.
We consider whole job as 1.
Rate of work per hour for Paul = 
Matt can install the same floor in 22 hours.
Rate of work per hour for Matt = 
Now , when they both work together , the rate of work =
, where t is time taken by both together.
Since , 


Hence, it would take 9.9 hours to install the floor working together.
Therefore , the correct answer is B. 9.9 hours .