4. Show that the diophantine equation x - y = z² has no solutions in nonzero integers using the method of infinite descent.

Q: Answer these questions. Show all work in steps. 1. (x^3)-(12x^2)+10x=0 2. (x^2)-5x=6 3.…

A:

Q: State the starting value a, the growth factor b, and the percentage growth rater for the given…

A:

Q: Let A = 6 -9 12 -12 10 -15. Null(A) is a subspace of R*, where k = -2 3 -4 Let B = = [6 4 5 Col(A)…

A:

Q: Using the given graph of the function f, find the following. (a) The numbers, if any, at which f has…

A: COnsider the graph of the function

Q: Solve the inequality algebraically. (x-2)²(x+6) <0 List the intervals and sign in each interval.…

A: we are given the inequality and we need to find its solutions.

Q: 1. Determine a mapping of the form (x, y)-) from y=f(x) for each of the following. a. y=-f(7x) b.…

A: We have given a parent function y=f(x), We have to find the mapping of the function.

Q: Let U = {all colleges), A = {colleges that have the word City in their name}, and B = {colleges that…

A:

Q: Find out how long it takes a $2,700 investment to double if it is invested at 9% compounded…

A:

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a…

A: Let asume,

Q: Let f(x)=x²+2x and g(x)=3-x Find (fg)(6).

A: f(x)=x2+2x and g(x)=3−x

Q: For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: a -(9).0². = 1 -1 0

A:

Q: Distinguish the zeros of the given graph. Approximate the solutions if necessary. -10

A:

Q: Write the logarithms as a simple logarithm with a coefficient of one

A: Since you have asked multiple questions, we will answer the first question for you. If you want any…

Q: Are the vectors u = -3 1-3]. = [-2 3 4] and @= [0 -2 1] linearly independent? Choose If they are…

A: we have given three vectors

Q: Let V be a vector space, v, u € V, and let T₁ : V → V and T₂: V → V be linear transformations such…

A:

Q: solve the system by substitution and show all work. 2x+y=11 3x-2y=6

A: To solve the following system of equations by using substitution method.

Q: 10. Simplify 2 5 + x+3 x+1 ○a. ㄱㄴ ㅗ 17

A: 2/(x+3) + 5/(x+1)

Q: 5) Kenji has at most $30 to spend on lily bulbs and tulip bulbs at his local flower store. Lily…

A:

Q: Which of the following is the transpose of the matrix 1-12 A = 0 2 4 103 O A. O B. OC -1 -1 2 0-24 0…

A:

Q: Please solve using synthetic division and quadratic formula

A:

Q: Find the following for the function f(x) = 3x² + 2x -2. (a) f(0) (b) f(1) (e) -f(x) (f) f(x + 1) (c)…

A:

Q: Is the function, f(x) = x3(x2 - 5)(x2 + 5) considered an even function, odd function or neither.…

A:

Q: b.) f(x) = 5(x-4) (x + 2)²(x+6)

A: Consider the function

Q: (i) Using the facts that √ and 1/x are, respectively, increasing and decreasing functions of a real…

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: 1. Given y = (x+3)² - 1. a. What is the axis of symmetry?_X=-3 UP c. open up or down? e. What are…

A: The given function .The aim is to find the axis of symmetry, vertex, open or down, maximum or…

Q: A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much…

A: Given that the large bottle contains 500 milliliters. Medium bottle contains 70% as much juice as…

Q: If 4 is one solution of the equation x² + 3x + k = 10, where k is a constant, what is the other…

A: If 4 isone solution of the equation , where  is a constant, then to find the other solution.

Q: Let ƒ : R → R³ be defined by ƒ(x) = (4x, 5x, 2x). Is ƒ a linear transformation? a. f(x + y) = ƒ(x) +…

A:

Q: The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above…

A:

Q: Consider the following model of a market for a good, in which Qs is quantity produced, Qd is…

A: The objective of the question is to find the quantity of goods produced when the quantity supplied…

Q: Consider the supply function Q=f(P) defined by 2Q-10P=20. If the function is plotted with P on the…

A: The objective of the question is to find the slope of the line when the supply function Q=f(P)…

Q: 88 MULTIPLE CHOICE What is the range of the function shown in the graph? -10-8 -6 A ● U ● (-5 ≤y≤5)…

A:

Q: K- Suppose you have $14,000 to invest. Which of the two rates would yield the larger amount in 5…

A:

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. (#) 27 log 3

A: log3⁡(x27)Using the logarithm propertiesloga⁡a−log⁡b=log⁡(ab)

Q: Write the point-slope form of the equation of the line satisfying each of the following conditions.…

A:

Q: Solve the logarithmic equation. log (x+4)= log x + log 4

A: log⁡(x+4)=log⁡x+log⁡4Using the logarithm propertieslog⁡a+log⁡b=log⁡(ab)

Q: The standard equation of a circle is: 1.1 x² + y² + Ax+By+C =0 Show that the following systems of…

A:

Q: A = Determine the rank and nullity of the matrix. -20 -20 1 -16 5 5 0 4 -2 The rank of Al is The…

A:

Q: 9(x) = 7 4X Find (fog)(x) f(x)=7+

A:

Q: 21)- r-4 A) 2 r the polynomial completely. 22) 125x3+3 B) 2r-4 2r4

A:

Q: Use the graph to guess possible linear factors of f(x). Then completely factor f(x) with the aid of…

A: For a function f(x), the root of f(x) is the points at which the graph of f(x) intersects x-axis.If…

Q: Consider the following matrix 3 2 A= 1 -1 -2 0 36 in null A? Show your work/justify your answer.

A: The given matrix is,The given vectors are;

Q: Q4. Which of these rules gives a correct definition of the rank of A? (a) The number of nonzero rows…

A:

Q: The lines shown below are parallel. Find the slope-intercept form of the equation of line y2. y =

A:

Q: The function f(x) - 200(0.5)x/50 models the amount in pounds of a particular radioactive material…

A: The function   models the amount in pounds of a particular  radioiactive material stored in a…

Q: Simplify the expression. Use positive exponents. Assume variables represent nonzero real number 6)…

A: (6)  (7)  (8) (9)  (10)

Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

A:

Q: Use adding/subtracting functions to explain why the function, w(x)=x^4 + 2x^2 - 5x  would only have…

A: Use adding/subtracting functions to explain why the function, w(x)=x4 + 2x2 - 5x would only have one…

Q: A population of bacteria is growing according to the equation P(t) = 850e0.17t. Estimate when the…

A: P(t)=850e0.17t