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3 years ago

HELP ME ASAP THIS IS TIMED. DO NOT GUESS, EXPLAIN YOUR ANSWER.

Mathematics

2 answers:

yuradex [85]3 years ago

7 0

The third one is correct. You cannot figure it out from the parent function, |x|, because they are all the same. As a result, you have to figure it out from the y-intercept. The y-intercept of a function most of the time is the constant of the function. The y-intercept here is 0.5. Using this, you can find the corresponding graph. That would be the third  option.

Hope I helped! Happy New Year!

Deffense [45]3 years ago

3 0

Answer:

Option C.

Step-by-step explanation:

If we consider a graph f(x) = |x| then the graph will start from origin (0, 0).

Since it's a parent function of g(x) = |x| + 0.5

When the parent function is shifted 0.5 units upward on y-axis then the new function g(x) = |x| +0.5 is formed.

Therefore, option C. will be the answer which has the y-intercept of 0.5 units.

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11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

Additional comment

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

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Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

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