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valkas [14]
1 year ago
15

The equation of the line with slope = 3, going through point (2, 4) is:

Mathematics
2 answers:
Marina86 [1]1 year ago
7 0

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10

Readme [11.4K]1 year ago
7 0
Y=3x-2 the slope is 3 and it goes through (2,4)
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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.

__

(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.

__

(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
Brad is putting up a 14 foot diameter circular flower garden in his yard. What is the area of brads garden ?
Lapatulllka [165]

Answer:

The area is about 153.938

Step-by-step explanation:

To find the area of a circle, you have the equation

πr squared

the diameter is 14, so the radius is 7.

pi 7 squared is equal to about 153.938

Please Thank me, Rate, And mark as brainliest if you want!

;)

4 0
3 years ago
Use prime factorization to find the greatest common factor of 56 and 84​
sdas [7]

Answer:

28

Step-by-step explanation:

Hope this helped.

6 0
2 years ago
14570.7 to 3 significant figures​
NemiM [27]

Answer:

what

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help. Due soon.
Orlov [11]
The function represents exponential growth (since the exponent is positive).

The percentage increase is, if I'm not mistaken, 181.3% (since 710 is just a constant, we don't need to worry about that - it won't affect the growth rate of the function)
4 0
3 years ago
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