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nlexa [21]
3 years ago
10

I need a justification for each line.

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
What is a justification ? Exactly
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Consider the equations y = √x and y = x^2 - 1
lord [1]
<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.

8 0
3 years ago
On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum
Ket [755]

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 1<u>0</u>7  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 1<u>5</u>7  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

<u>4</u>26 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

7 0
3 years ago
What is the area of these trapezoid
Assoli18 [71]

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

6 0
3 years ago
The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic units, of the shaded part of the sp
aleksandr82 [10.1K]

Answer:

it would be (10)- (4)

Step-by-step explanation:

7 0
2 years ago
Solve the system by substitution!
irga5000 [103]
When solving by substation the answer would be: X= 1 , y= 5
3 0
3 years ago
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