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harina [27]
3 years ago
7

Consider the equations y = √x and y = x^2 - 1

Mathematics
1 answer:
lord [1]3 years ago
8 0
<h3>Answer:</h3>

(x, y) ≈ (1.49021612010, 1.22074408461)

<h3>Explanation:</h3>

This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.

_____

Setting the y-values equal and squaring both sides of the equation gives ...

... √x = x² -1

... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides

... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.

By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.

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Which of these ordered pairs is a solution to the inequality
bezimeni [28]

Answer:

(1, -1)

Step-by-step explanation:

If you replace y and x with (1 and -1) you have -1 - 2^1 < -3

And that equals -3 if solved. The sign says equal to or less than, so you answer is (1, -1)

7 0
3 years ago
What divided by 8 to equal 3
blsea [12.9K]

Answer:

Nothing

Step-by-step explanation:

You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.

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5 0
2 years ago
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice​
Korolek [52]

Answer:

4l of icecream

Step-by-step explanation:

10÷3=3.33

12÷4=3

3 0
2 years ago
Beth won 45 lollipops. She gave away some and now she has 28 remaining. How many did she give away?
lapo4ka [179]
Just subtract 45 - 28 = 17 lollipops

Hope this helps!!!
4 0
3 years ago
Read 2 more answers
How do you estimate 175.32 ÷ 3 =
geniusboy [140]

Answer:

  ≈ 58

Step-by-step explanation:

Estimation usually means you want an answer good to one or maybe two significant figures. That usually means you want to round the numbers involved to one or two significant figures.

Doing that here transforms the problem to 180/3 = 60, an answer with one significant figure.

You can improve the estimate a bit by recognizing that it is a little high (the numerator is higher than 175.32, but the denominator is the same). Since the numerator is high by about 5, the estimate is high by about 5/3 or a little less than 2. A closer estimate will be 60 - 2 = 58.

_____

The degree to which you refine the estimate will depend on the error requirements you have. Certainly an estimate of 60 is within 10% of the true value, so is "close enough" for many purposes.

7 0
3 years ago
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