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alexandr1967 [171]
4 years ago
8

What structure was constructed for the fair of 1889

Mathematics
1 answer:
Korvikt [17]4 years ago
7 0

Answer:the Eiffel Tower


Step-by-step explanation:


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Which piecewise defined function is shown on the graph?
irakobra [83]

Answer:

it is the second choice

Step-by-step explanation:

7 0
4 years ago
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A model for the average price of a pound of white sugar in a certain country from August 1993 to August 2003 is given by the fun
Dovator [93]

Answer:

t = 0.811\,s contains the cheapest reference to sugar; t = 4.511\,s contains the most expensive reference to sugar.

Step-by-step explanation:

Let be s(t) = -0.00003237\cdot t^{5} + 0.0009037\cdot t^{4}-0.008956\cdot t^{3}+0.03629\cdot t^{2}-0.04547\cdot t + 0.4778, the times when sugar is the cheapest and the most expensive (absolute minimum and maximum) are determined with the help of first and second derivatives of this function (First and Second Derivative Tests):

First Derivative Test

s'(t) = -0.00016185\cdot t^{4}+0.0036148\cdot t^{3}-0.026868\cdot t^{2}+0.07258\cdot t - 0.04547

Let equalize the polynomial to zero and solve the resulting expression:

-0.00016185\cdot t^{4}+0.0036148\cdot t^{3}-0.026868\cdot t^{2}+0.07258\cdot t - 0.04547 = 0

t_{1} \approx 9.511\,s, t_{2}\approx 7.431\,s, t_{3}\approx 4.511\,s and t_{4}\approx 0.881\,s

Second Derivative Test

s''(t) = -0.0006474\cdot t^{3}+0.0108444\cdot t^{2}-0.053736\cdot t+0.07258

This function is now evaluated at each root found in the First Derivative section:

s''(9.511\,s) = -0.0006474\cdot (9.511\,s)^{3}+0.0108444\cdot (9.511\,s)^{2}-0.053736\cdot (9.511\,s)+0.07258

s''(9.511\,s) = -0.015 (A maximum)

s''(7.431\,s) = -0.0006474\cdot (7.431\,s)^{3}+0.0108444\cdot (7.431\,s)^{2}-0.053736\cdot (7.431\,s)+0.07258

s''(7.431\,s) = 6.440\times 10^{-3} (A minimum)

s''(4.511\,s) = -0.0006474\cdot (4.511\,s)^{3}+0.0108444\cdot (4.511\,s)^{2}-0.053736\cdot (4.511\,s)+0.07258

s''(4.511\,s) = -8.577\times 10^{-3} (A maximum)

s''(0.811\,s) = -0.0006474\cdot (0.811\,s)^{3}+0.0108444\cdot (0.811\,s)^{2}-0.053736\cdot (0.811\,s)+0.07258

s''(0.811\,s) = 0.036 (A minimum)

Each value is evaluated in order to determine when sugar was the cheapest and the most expensive:

Cheapest (Absolute minimum)

s(0.811\,s) = -0.00003237\cdot (0.811\,s)^{5}+0.0009037\cdot (0.811\,s)^{4}-0.008956\cdot (0.811\,s)^{3}+0.03629\cdot (0.811\,s)^{2}-0.04547\cdot (0.811\,s)+0.4778

s(0.811\,s) = 0.460

s(7.431\,s) = -0.00003237\cdot (7.431\,s)^{5}+0.0009037\cdot (7.431\,s)^{4}-0.008956\cdot (7.431\,s)^{3}+0.03629\cdot (7.431\,s)^{2}-0.04547\cdot (7.431\,s)+0.4778

s(7.431\,s) = 0.491

t = 0.811\,s contains the cheapest reference to sugar.

Most expensive (Absolute maximum)

s(4.511\,s) = -0.00003237\cdot (4.511\,s)^{5}+0.0009037\cdot (4.511\,s)^{4}-0.008956\cdot (4.511\,s)^{3}+0.03629\cdot (4.511\,s)^{2}-0.04547\cdot (4.511\,s)+0.4778

s(4.511\,s) = 0.503

s(9.511\,s) = -0.00003237\cdot (9.511\,s)^{5}+0.0009037\cdot (9.511\,s)^{4}-0.008956\cdot (9.511\,s)^{3}+0.03629\cdot (9.511\,s)^{2}-0.04547\cdot (9.511\,s)+0.4778

s(9.511\,s) = 0.498

t = 4.511\,s contains the most expensive reference to sugar.

4 0
4 years ago
The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.
aksik [14]

To reflect across the x axis, you would make the original equation negative.

The answer would be: g(x)=−2|x|

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3 years ago
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Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
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4 years ago
The linear combination method is applied to a system of equations as shown.
Vladimir79 [104]

Answer:

D (9,3)

Step-by-step explanation:

just did the quiz/test.

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