Answer:
Domain = [1.5, 4.5]
Range = [4, ∞)
Step-by-step explanation:
The domain of the graph are the values along the input variable x while the range are the values of the output variable y;
From the figure the domain values falls with the range [-1.5, -4.5] while the range are with thin the values [4, ∞)
The correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given function:
h(x) = -(x+6)³-3.
The given function is cubic and cuts the x-axis at the point (-7.442,0) the graph is bending towards the left side in the second quadrant.
Therefore the correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
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Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
A square has all sides of the same length. This means that the length and width are both 14 miles. The area of a square is Length times width, or 14 times 14. This comes out to be 196 miles squared
Average speed=(total distance traveled)/(total time of travel)
average speed=(120+48)/3
average speed=56 mph