Answer:
-24 a^2 b^7
Step-by-step explanation:
Simplify the following:
-8×3 a^2 b^4 b^3
Hint: | Combine products of like terms.
3 a^2 b^4 (-8) b^3 = 3 a^2 b^(4 + 3) (-8):
-8×3 a^2 b^(4 + 3)
Hint: | Evaluate 4 + 3.
4 + 3 = 7:
-8×3 a^2 b^7
Hint: | Multiply 3 and -8 together.
3 (-8) = -24:
Answer: -24 a^2 b^7
Answer: 460.6 miles South of Chicago
Explanation:
1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and
travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.
Scheme:
→to south ←to north
|----------------------|---------------------|
A x X 930.0 - x B
6:00 am 6:00 am
→ ←
v = 79.0 mi/h v = 81.1 mi/h
=> x = 79.0 mi/h * t
2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The
train travels the 930.0 miles to Chicago at an average speed of 81.1
miles per hour.
930.0 - x = 81.1 mi/h * t
3) How many miles south of chicago do the two trains pass
each other?
Divide the two equations:
930.0 - x 81.1*t
------------- = ----------
x 79*t
t cancels out =>
930.0 - x 81.1
------------- = --------
x 79.0
Solve:
81.1x = 79.0(930.0 - x)
81.1x = 79.0 * 930.0 - 79.0x
81.1x + 79.0x = 73,470
=> 160.1x = 73,470
=> x = 73,470 / 160.1
=> x = 460.6 mi
4) Answer 460.6 miles South of Chicago.
</span>
The answer is [ all real numbers ]
The domain are the input values which makes the function defined and real.
Since we don't have any constraints or any undefined points, the domain could be literally anything. Thus proves out answer.
Best of Luck!
