Answer:
Step-by-step explanation:
1. Number of peoples available to choose from = 20
After selecting the captain number of people left among which co captain can be selected = 20 - 1 = 19
Hence, Number of ways a coach select the captain and co-captain of a team from a group of 20 people = 20 × 19 = 380
Therefore, The correct option is C. 380
2. Total number of players = 7
Number of players to be selected = 5
Therefore, The correct option is A. 21
3. Total number of outcomes = 20
The digits 1, 2, 3, 4, 5, 6 represent the student who make a C
Number of students who make a C at least 3 times = 13
Therefore, The correct option is D
p+13=25
p-13=25
p-25=13
Approximate the solution to the equation f(x)=g(x) using three iterations of successive approximation. Use this graph as a starting point. (It’s not x= -7/8)
In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x^3 + 3 and g(x) = x^2 + 2.
Adjust the zoom level of the graph so you can see the point where the two graphed functions intersect. Then, left-click on the point where the functions intersect. The values of the point you click on, rounded to the nearest hundredth, will appear for about 2 seconds.
Note: If you’re not using a mouse (or a mouse with left-click ability), perform the equivalent zoom-in action on your device to see the intersection point values rounded to the nearest hundredth.
Then, approximate (to the nearest hundredth) the solution of f(x) = g(x) from part A of this question.
15 points PLZZZZZ URGENTTT! Urgent maximum wait is 24 hours!
Answer:
(a) -3/4
(b) -0.75
(c) -0.75
Step-by-step explanation:
It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...
Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.
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(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.
For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.
For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.
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(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.
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(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.
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See the attached table for function values.
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Comment on bisection iteration
Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.
Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.
Answer:
1/2 *b *h = (9*18)/2 = 81
Step-by-step explanation:
Area of a triangle is 1/2 * B * H
B is 18
H is 9
162 / 2 = 81
Answer:
81
Step-by-step explanation:
Formula: 1/2BH
B = length of base
H = height
1/2(18)(9) = 81
A.
–21.6
B.
–12.4
C.
12.4
D.
21.6