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vovangra [49]
3 years ago
7

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

0, 1

Step-by-step explanation:

The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.

Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.

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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
I need help now btw i am in middle school
vodomira [7]

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

5 0
3 years ago
Read 2 more answers
What is the value of x?
Pepsi [2]

The angle between the segment labled x and the chord labeled 30 is not specified. The measure of x cannot be determined, except to say that it is somewhere between 16 and the radius of the circle, √(16²+15²) = √481 ≈ 21.93.

_____

If the angle between x and the chord were marked as a right angle, one could say x=16, because all chords of the same length are the same distance from the center of the circle.

4 0
3 years ago
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A rectangular figure has a width of 3 feet and length of 2x + 2. Find the perimeter of
padilas [110]
The perimeter is 10ft
6 0
3 years ago
A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon
DanielleElmas [232]
To solve this we are going to use the formula for the volume of a sphere: V= \frac{4}{3}  \pi r^3
where 
r is the radius of the sphere 

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, r= \frac{24}{2} =12. Lets replace that in our formula: 
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (12)^3
V=7238.23 cm^3

Now, the second diameter of our sphere is 36, so its radius will be: r= \frac{36}{2} =18. Lets replace that value in our formula one more time:
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (18)^3
V=24429.02

To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=24429.02cm^3-7238.23cm^3=17190.79cm^3

We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>
8 0
3 years ago
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