Question 9 (a) Without solving the equations determine the number of roots of each of the following x +x+1 (a) x - 3x+ 2 = 0 (b) (c) x² -14x + 49

Q: How to find the roots of x4-x-1

A: Given : x4-x-1 To find out the roots we graph the given expression  y=x4-x-1 The roots are the x…

Q: QUESTION 17 17. Solve the equation (x + 2)² = x +3

A:

Q: Question 4 Given the equation 2x + a = 20 Find the product of the roots O -10 O 10 O-5 O 0.5

A: Given equation is 2x2 + x = 20

Q: Question 9 (b) Show that the equation (a) 1.5x – 7x+8.5= 0 has no real roots. (b) 9x +30x+ 25 = 0…

A: Answer and explanation is given below...

Q: the problem: 6. a.) write each cubic in factored form b.) find all 3 roots (x- intercepts)

A: Given query is to find the roots of the expression.

Q: Problem 14 The polynomial r - 21? + ar + b has four distinct real roots. Show that the absolute…

A: The polynomial with 4 distinct real roots given is as follows: x4-2x2+ax+b=0 We are asked to show…

Q: Solve the quadratic equation of x2 + 4x - 7 = 0 by using completing the square. Give your answer…

A:

Q: Example 2.41. Find all roots of the equation x³ - 2x² - 5x+6=0 by Graeffe's methoc squaring thrice.

A: Please find step by step solution below:

Q: Question 8: If – 9 is a root of the 3 7 equation 2 7 6 2 = 0 = 0, then the other two roots are

A: Introduction :

Q: QUESTION 9 Suppose a quadratic equation is given as follows: k- 1)x +x +1=0 Select all values of k…

A: the given quadratic equation is: we have to select all values of k for which the given quadratic…

Q: Problem 1: (a) Show that if z is a fifth root of unity (meaning a solution to z° = 1) then 23 = 2.…

A:

Q: Use the Intermediate Value Theorem in Exercise to prove thateach equation has a solution. Then use a…

A: Intermediate Value Theorem states that, Let f:[a,b]→ℝ is continuous, and c is a constant number…

Q: If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, =…

A:

Q: Question 3. Solve the IVP x" + 2x' + 2x = 0. when x(0) = 0, x' (0) = 1

A:

Q: Question 8 2) Solve for x Question 9

A: Solving the problem by finding the value of x

Q: Problem 1. Consider the non-linear equation x³ + 2x = 1. (a) Find an interval that covers one root…

A: Intermediate value theorem: This theorem states that for a continuous function f there exists…

Q: Question 8 Solve. Use "ims" for infinitely many solutions, "ns" for no solutions -4(x+ 5) = 5(x – 4)…

A:

Q: Question 8 Find the Roots of the following Polynomial: 6x3 – 7a2 – 28x + 20

A:

Q: Question 3 Let 1, x2 and x3 be the solutions of the equation 2a - a2 + 2x – 5 = 0 Without solving…

A: We have to find the value

Q: Example 2.40. Solve x¹-5x³+20x² 40x+60=0, given that all the roots of f(x) = 0 are complex, by using…

A: Here we need to solve equations using Lin-Bairstow Method.

Q: question 1. Solve for x: 5x - (x+ 4) = 2(x - 3). O x = -5 x = -1 X = 1 X = 5

A:

Q: Question 4 Which equation has roots that are real, rational, and unequal? A x2 +x +1 = 0 © x - 4 = 0…

A: To choose: The equation that has real, rational and unequal roots. Calculation: A. x2+x+1=0 Find the…

Q: Question 19 (5 points) Solve for x: 13 + 4 x -8 = 45

A: follow 2nd step

Q: Question 4: x*-27 9-x? x²+3x+9 x²+9x+18 a. Divide: b. Solve: 3x+2 -2/x=0 c. Solve: 3x' - 24 x=0

A:

Q: QUESTION 7 Select all the complex solutions for 4x2 + 3x+7=0. O A. -3+i/103 8 O B. -3-iv19 4 OC.…

A:

Q: QUESTION 7 Solve the Equation: x²-12x+39=0 1. (-5, 4) ○ 2.(-7,8) 3. (8,-4) ○ 4. (6, -5)

A: Topic = Algebra As per guidelines , At a time only one question can be answered.

Q: If a, B,y are the roots of x+4x+1 = 0 then the equationm whose roots are B+y'y+a'a +3

A: The given equation is x3+4x+1=0. The given roots are α, β, γ. Observe the following.…

Q: Question 7 of 8 Solve x=8, where x is a real number. Simplify your answer as much as possible. %3D…

A: Given: (7) x2 = 8 (8) 3x2 + 5x = 3

Q: Question 5: The roots of the equation 1 4 20 1 -2 = 0 = 0 are 5x² %D 1 2x

A:

Q: x^6+10*x^5+35*x^4+315*x^3+12*x^2-140*x+2.5 then insert a table to draw the graph of the previous…

A: Given equation ; x6+10x5+35x4+315x3+12x2-140x+2.5=0

Q: Use the Intermediate Value Theorem to prove that each equation has a solution. Then use a graphing…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: QUESTION 3 Use the Quadratic formula to find TWO solutions to 2x2+4x – 11=0. Select them from the…

A:

Q: Problem 14 The polynomial z - 21? + ar + b has four distinct real roots. Show that the absolute…

A: The polynomial with 4 distinct real roots given is as follows: x4-2x2+ax+b=0 We are asked to show…

Q: Problem 7. When you solve the equation -3z + 2z = 0, how many roots are greater than D three roots…

A: To find the roots

Q: QUESTION 4 If α and β are the roots of the equations 2x2 + 4x - 3 = 0, find the equation whose…

A:

Q: Problem 1. Consider the non-linear equation x + 2x = 1. (a) Find an interval that covers one root of…

A: The given non-linear equation is  x3+2x=1 (a) To find the interval which covers the root of the…

Q: Find all real solutions of this equation. 1+(1/((x+2)(x+3))=(4/(x+2))+(1/(x+3))

A: Given the equation :

Q: Question 4 Solve the rational inequality: 2x²-8x+15 xâ450+ ≤0, using a factor table...

A: Given problem:-

Q: 2. Use the graphing feature of your calculator to find and list all the roots of the given equation.…

A: Graph of the function is shown below

Q: Question 13 What is the complete set of roots of the auxiliary equation associated with 2y''-y"-…

A:

Q: QUESTION 20 Solve. (X-6)(X+ 3) 2 0 O-3] u [6, *) O (6. *) (6, -3) 046) U [3. *)

A:

Q: Question 8 of 8 Use the quadratic formula to solve for x. 3x+5x 3 Round your answer to the nearest…

A: Please refer the attached image for complete solution.

Q: QUESTION 5 The quadratic equation of 3x2 + px + q = 0 has roots 2 and -3. Find, a) the value of p…

A:

Q: Question 5: The roots of the equation | 1 4 20 1 -2 = 0 = 0 are %3D 1 2х 5x2

A:

Q: Problem 3 - : Use Solver to find the 4 roots of the following equation: x4 – 1.8x3 – 33.2x2 + 40x +…

A: Given: f(x) = x4 - 1.8x3 - 33.2x2 + 40x + 96

Q: Question 13 > Determine the number and type of solutions for the equation 3x² + 30x+75-0 O Two…

A:

Q: 1 X = -3 is one of the roots of the equation given by kx² + 3x – 9 = 0 1.1 Determine the value of k.…

A: According to the guidelines we are supposed to answer only one question, the other questions can be…

Q: Question 4 Solve the rational inequality 2x²-8x+15 xâ45241 ≤0, using a factor table.

A: Given :2x2-8x+15x2+5x+4≤0

Q: Solve the quadratic equation 2x2 - 2x - 3 = 0 by using formula. Give your answer correct to four…

A: Here I am attaching image so that you understand each and every step.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!