Answer:
5050
Step-by-step explanation:
Your formula for this is
and
. Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Answer:
40 mph
Step-by-step explanation:
One hour includes 60 minutes
8/60=0.13(3 repeating)
You only need 15 minutes of time
0.13(3 repeating)*15=2
8+2=10 miles
15 minutes is 1/4 of an hour
10*4=40 mph
Answer:
18.84 meters.
Step-by-step explanation:
The formula for a circle is πr^2.
πr^2 = 28.26
3.14 * r^2 = 28.26
r^2 = 9
r = plus or minus 3.
But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.
The formula for the circumference is 2πr.
2 * 3.14 * 3 = 6 * 3.14 = 18.84.
So, the circumference of the circle is 18.84 meters.
Hope this helps!
