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denis23 [38]
2 years ago
8

George is solving the equation below by finding successive approximations. He started from a graph where he found the solution t

o be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero. Step 2 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference. Step 3 Take the average of the lower and upper bounds from the graph. Step 4 Evaluate the rewritten equation at . Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, . So, the bounds are now and . In what step, if any, did George make his first mistake? A. In step 1, George should have subtracted in the opposite order to set the equation equal to 0. B. In step 5, George should have used as the new lower bound. C. George made no mistakes, and his work is correct. D. In step 3, George should have averaged the two differences instead of the two bounds.
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
6 0

The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

<h3>How to Solve Successive Approximations?</h3>

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

Read more about Successive Approximations at; brainly.com/question/25219621

#SPJ1

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3 years ago
Can someone explain 5. please ?
GuDViN [60]

Both denominators are 4, so we can add the numerators to place over the common denominator. The numerators are -3 and -3, which add to -6. One way to think of negative numbers is to think of IOUs, which are a way of expressing debt in money. For instance, if you go into a store and buy a $10 item, but only have $3 in your pocket, then you would have to owe the owner $7. This can be represented with -7. If you repeat the process, then you'd have 7+7 = 14 in IOUs total. This would be represented with -14

In short, adding negative numbers is really the same as adding positives, but the final result is negative

So that's why -3+-3 turns into -6. We add the two threes like normal but then make the final result negative. All throughout this process, the denominator stays at 4.

So we end up with -6 over 4 which reduces to -3 over 2. How is this reduction happening? We are simply dividing each piece by the greatest common factor 2.

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3 years ago
Plzz help me with this question
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Answer:

x = 5

Step-by-step explanation:

We need to find the value of x in this case.

For this, we need to consider that the triangles are similar. Now, we can find it as follows :

\dfrac{12}{3}=\dfrac{20}{x}\\\\x=\dfrac{20\times 3}{12}\\\\x=5

So, the value of x is equal to 5.

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3 years ago
Explain how you can use absolute value to tell wether the sum of two integers is positive or negative
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Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

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3 years ago
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Answer:

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All you have to do is plug in the numbers!

3 0
3 years ago
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