Answer:
X = - 4
Step-by-step explanation:
Given in problem
- x -4x - 7 = 5 -2x
Or, -5x - 7 = 5- 2x
Or, -5x + 2x = 5 + 7
Or, -3x = 12
Or, x = - 
∴ X = - 4 Answer
Michael took the return trip at a velocity 33.75 miles per hour.
<h3>How fast did Michael drive in his return trip?</h3>
Let suppose that Michael drove in <em>straight line</em> road and at <em>constant</em> velocity. Therefore, the speed of the vehicle (v), in miles per hour, can be defined as distance traveled by the vehicle (d), in miles, divided by travel time (t), in hours.
First trip
45 = s / 3 (1)
Second trip
v = s / 4 (2)
By (1) and (2):
45 · 3 = 4 · v
v = 33.75 mi / h
Michael took the return trip at a velocity 33.75 miles per hour.
To learn more on velocities: brainly.com/question/18084516
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Answer:
- S(t) = 149999(1.06)^t
- $225543
Step-by-step explanation:
- Initial value is $149999
- Increase rate is 6% per year = 1.06 times
<u>The model of the growth is:</u>
- S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year
<u>Annual sales after 7 years:</u>
- S(7) = 149999(1.06)^7 = $225543
The given functions are


Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is

Option D) is the right answer
Answer: I believe the answer would be 1/9 ?