2(4x+1)<3(2x-3) solve the inequality

9514 1404 393

Answer:

  x ≈ 2.367796

Step-by-step explanation:

There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.

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One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.

Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.

Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.

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We assume you want the solution to ...

  x^2 -5 = √(x -2)

This is conveniently reformulated to ...

  x^2 -5 -√(x -2) = 0

so that we're seeking a zero of the function on the left.

The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.

Our final guess at x is ...

  x ≈ 2.367796 . . . . secant method

which gives an error less than 10^-5 between the left- and right-sides of the equation.

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Additional comments

At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.

Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

Answer:

40x8 is 320. 320x6 is 1,920 that's your answer

Answer:

0.2 pounds of rice

Step-by-step explanation:

To find how much rice was used by each person, divide 22 by 110

22/110

= 0.2

So, each person used 0.2 pounds of rice

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

Now we have to,

Write a word problem for the equation,

→ 2/6 × 3/4

Let's write a word problem,

Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?

Answer:

c=p*0.99

you gonna multiply the amt of patatoes by the cost of one to get the total like if you were buying 5 you would multiply  5 by 99 to get the total    

P = $0.99

C = [tex]P * x[/tex]

[Note: x is how many pounds of potatoes you buy.]

Hope this helped, I'm not too good with relations.

Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Important information:

The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

It is clear that,[tex]81&lt;85&lt;100[/tex]

Taking square root on each side, we get

[tex]\sqrt{81}&lt;\sqrt{85}&lt;\sqrt{100}[/tex]

[tex]9&lt;\sqrt{85}&lt;10[/tex]

The value [tex]\sqrt{85}[/tex] lies between 9 and 10.

Therefore, the smallest integer greater than the radical value square root of 85 is 10.

Find out more about 'Radical' here:

https://brainly.com/question/8243233

Answer:

The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,

Answer:

369

Step-by-step explanation:

* = Multiply

5*229=1145
Lakes * Average = Total Average Depth of Five Lakes

(1145-369)/4=194 (it worked)
4 is the other lakes, 369 would be considered the largest lake.
Answer is 369.

Cheers, iYekria

Answer:

32%

Step-by-step explanation:

25 - 19 = 6

6 divided by 19 = 0.315

round to the nearest percent, 32%

Answer:

-5/2÷5/7

change to multiplication

-5/2×7/5

reduce the numbers of the greatest common factor of 5

-1/2×7

calculate the product

-1/2×7

the answer is -7/2

if I'm wrong sorry I used a math app to find the answer

Answer:

55

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:

c² = a² + b²

From the options, option d is the correct option.

For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:

c² = a² + x²

x² = c² - a²

x = √(c² - a²)

Therefore the other leg would be √(c² - a²)

Answer:

6 and 7

Step-by-step explanation:

27 divided by 4 equals 6.75 and that number is in between 6 and 7

Answer:

Step-by-step explanation:

Subtract 2 on both sides

7x = -56

Divide 7 on both sides

x = -8

Answer:

-1.9

Step-by-step explanation:

Answer:

33.2

Step-by-step explanation:

41.5÷1.25=

33.2

Answer:

31.6 or 31 6/10 or 31 3/5

Step-by-step explanation:

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Answer:

-2 and 4

Step-by-step explanation:

not 100% sure but i think so

Answer: 4 + -6 = -2

Explanation: it’s technically 4-6 which also equals -2

Answer:

9 eggs

Step-by-step explanation:

1 dozen = 3 eggs

2 dozens = 6 eggs

3 dozens = 9 eggs

Answer:

17

Step-by-step explanation:

Answer:

Linear Function

Step-by-step explanation:

Any equeation that comes in the form mx + b is a linear function

Answer:

697 marbles

Step-by-step explanation:

We know:

Briley- 374 marbles

Joey- 374*4

Carson- (374*4)-799

Solve:

374*4= 1496 (This is how many Joey has)

1496-799= 697 (This is how many Carson has)

Hope this helps!

Answer:

12

Step-by-step explan

Answer:

12

subsitute 3 for p and multiply :)

3 x 4 = 12

Answer:

7:13

Step-by-step explanation:

There are 14 girls and 12 boys, so there are 26 students in total. Since we are looking for the ratio of girls to students, the ratio will be 14:26. To simplify it, we will divide 14 and 26 by their greatest common factor: 2. We will get the ratio of 7:13.

I hope this helped! :)

Answer:

85

Step-by-step explanation: