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Marina CMI [18]

3 years ago

12

The system of equations graphed below has how many solutions?

1 answer:

Artist 52 [7]3 years ago

5 0

Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0

3 years ago

What is the ratio of water to mixed energy drink?

dedylja [7]

Answer:

?:?

Step-by-step explanation:

The number of water would be on the left,

The number of mixed energy drink would be on the right

If you give me numbers I will revise y answer and show you.

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2 years ago

Inverse cosine of square root of 3 over 2? cos-1(square root of 3/2)

Amiraneli [1.4K]

Cos(x°) = (√3)/2
cos⁻¹[(√3)/2] = x°, that means x° = 30°

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3 years ago

Mikayla wants to buy a dress that is on sale for 25% off. The original price was $84 and sales tax is 5%. What is the total pric

Feliz [49]

Answer:

$67.20

Step-by-step explanation:

84 x .05

4.2

84 x .25

21

84-21

63

63 + 4.2

67.20

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Find the value of x round to the nearest tenth

wolverine [178]

Answer:

sin 76 = 13/x

x=13/sin 76

x=13.3979771816

x=13.4

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3 years ago