Answer:
domain is (xo ≤ x ≤ 0.45 )
range is (xo ≤ y ≤ 8.1 )
Step-by-step explanation:
given data
constant speed = 18 miles per hour
total time = 27 minutes = 0.45 hour
solution
we consider here Domain number of hours = x and Range distance traveled = y
we apply here distanace formula that is
Distance = speed × time .........................1
put here value
Distance = 18 × 0.45 = 8.1 miles
and no of hours x = 0 to 0.45 hours
so here
So domain is (xo ≤ x ≤ 0.45 )
and
Distance is 0 to 8.1 miles
So range is (xo ≤ y ≤ 8.1 )
Circumference is diameter times pi, diameter is radius times 2. The answer should be 57 inches.
Answer:
3 5/9
Step-by-step explanation
you flip 9/8 to 8/9 and multiply... you get 32/9=3 5/9
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).