The distance between the two points is -12
Answer:
it means To raise a power to a power means to raise one exponent to another. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all you have to do is multiply the exponents together. Hope this helps
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
<h3>
Answer: 62</h3>
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Explanation:
18 people get off, and 21 get on
We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.
The net change is -18+21 = +3 or simply 3.
After the first stop, 3 more people are on the train compared to before reaching this stop.
If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.
x+3 = 65
x = 65-3
x = 62 people were on the train to begin with.
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Check:
62 people to start off
62-18 = 44 people after the 18 people get off
44+21 = 65 people after the 21 new people get on
The answer is confirmed.
9514 1404 393
Answer:
- graph is shown below
- absolute max and min do not exist
- local max: 0 at x=0
- local min: -500/27 ≈ -18.519 at x=10/3
Step-by-step explanation:
The function is odd degree so has no absolute maximum or minimum. It factors as ...
g(x) = x^2(x -5)
so has zeros at x=0 (multiplicity 2, meaning this is a local maximum*) and x=5.
Differentiating, we find the derivative of g(x) is zero at x = 0 and x = 10/3.
g'(x) = 3x^2 -10x = x(3x -10) ⇒ x=0 and x=10/3 are critical points
The value of g(10/3) is a local minimum. That value is ...
g(10/3) = (10/3)^2((10-15)/3) = -500/27 ≈ -18.519
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The local maximum is (0, 0); the local minimum is (10/3, -500/27). The graph is shown below.
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* When a root has even multiplicity, the graph does not cross the x-axis. That means the root corresponds to a local extremum. Since this is the left-most root of an odd-degree function with a positive leading coefficient, it is a local <em>maximum</em>. (The function is <em>increasing</em> left of the left-most turning point.)