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tatuchka [14]
3 years ago
13

Erik spends $680 for cable television service. The cable company offers a deal that promises Erik 3 free months of cable if he s

igns a contract with them for $40 per month.
complete the equation below to find th number of months that Erik will have cable television service with his deal. use m to represent the number of months.​
Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer:

20

Step-by-step explanation:

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When doing polynomial long division, what is the first step to starting the problem?
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Answer:

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term

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2 years ago
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F(x)=x^3+3
lawyer [7]

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 ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

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.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

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.

5 0
3 years ago
The cost for a company to produce x t-shirts can be modeled by C(x)=21x-98 and the revenue for selling these shirts can be model
mixer [17]

Answer:

The Answer is C

Step-by-step explanation:

It's C for Apex

5 0
3 years ago
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Ms.acton spent 205.60 at target. If the sales tax is 6% what was her final bill
guajiro [1.7K]

Answer: just put c

Step-by-step explanation:

C is always correct

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3 years ago
Kyle went to the store to purchase a hat. The hat’s normal price is $50, but he used a coupon which allowed him to save $20. Wha
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Answer:

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50= 100

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30= 60

20= 40

10= 20

do what u will with that info I'm bad at wording things

4 0
2 years ago
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