Solve the following system of linear equations by writing its corresponding RREF, and then write its solutions as a sum of a particular solution + linear combination of basic solutions.

Q: Given the ellipse (x - 5)² 36 Find the center point: + (y — 4)² 4 List the vertices and covertices:…

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Q: 1. Solve the congruence 2. Solve the congruence x² +1=0 mod 13³. x³ - 2x² - 7x + 3 =0 mod 7². 3.…

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Q: 8,36 10 C 9. √√64a³b³6c Radical Expressions

A: Explaination of the answer is as follows

Q: I need the inequality to justify my answer please

A: .

Q: Graph the parabola. y=-x² - 2x+2 Plot five points on the parabola: the vertex, two points to the…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Exercise 6. Find the equation of the circumference that passes through the points (1.4) and (5.2)…

A: The circumference passes through the points The center is on the straight line

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Explaination of the answer is as follows

Q: 7. Solve the equation y" + y = 72 sin z using undetermined coefficients.

A: To solve the given differential equation y′′+y=7xsin(x) using the method of undetermined…

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Book Number Pages in Book Total Pages Read 1 253 299110 92volo 3 15-4 5 6 7 8 9 10 11 12 117 Sady…

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Q: Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward…

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Q: 9. Find the values of m and n that m a. 20-12i = 5m+4ni c. (4+ m) +2ni = 9 + 14i

A: 9)a) 20-12i=5m+4nib) m-16i=3-2nic) (4+m)+2ni=9+14id) (3-n) +(7m-14) i=1+7i

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 5…

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Q: Determine all values of a for which the following set of vectors is dependent or independent. You…

A: We have to determine all value of a for which the following set of vectors is dependent or…

Q: Given f(x) = 8x and g(x) = 5x² + 9, find the following expressions. (a) (fog)(4) (b) (gof)(2) (c)…

A: The objective of the question is to find the values of the composite functions (f compose g)(4), (g…

Q: nd the original price of a pair of shoes if the sale price is $36 after a 60%

A: Find the original price of a pair of shoes if the sale price is  $36 after a 60%  discount.

Q: Diana has available 160 yards of fencing and wishes to enclose a rectangular area. (a) Express the…

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Q: t of the quadratic equation below. Use the value of the discriminant to determine whether the qu ex…

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Q: Solve the following system of linear equations by writing its corresponding RREF, and then write its…

A: The given system of equations

Q: c) If AC = BC, then A = B.

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Q: he domain of a one-to-one function f is [1,00), and its range is [-3,00). State the domain and the…

A: If the domain of f( x ) is If the Range of f( x ) is Then The Domain of will be The Range of will be…

Q: The inverse notation f1 used in a pure mathematics problem is not always used when finding inverses…

A: We have to find the inverse of the function.GIven function -

Q: rewrite the following line so that it is in slope-intercept form and graph using the slope and…

A: Consider the given equation3x+y=-2

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Zeroes  -6 and 5which goes to  as

Q: 2. Find 14 --3-6 -8 7) 4

A: To find the product matrices.

Q: 23. √63-√28 Radical Expressions

A: To solve the expression  .

Q: Refer to functions n and p. Find the function and write the domain in interval notation. Write any…

A: Given that the functions  to find the composite function, using the formula

Q: Suppose x = a and = e are two solutions to the quadratic equations x² + px = q . Use Viete's method…

A: For Quadratic equation The Viete's method Sum of roots Product of roots

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

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

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Q: The function f(x)=x²-9, x ≥ 0 is one-to-one. (a) Find the inverse of f and check the answer. (b)…

A: Consider the function

Q: 8. Phoenix's annual rainfall is usually 8 inches. One year, it had 25% less rain than usua rain fall…

A: Given that Phoenix's annual rainfall is usually  inches.One year,it had  less rain than usual.Let x…

Q: 3 3 6. √√98y³ - 2√18y Radical Expressions

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Q: Solve: -120 - 12

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Q: Consider the functions f(x)= x³ - 5 and g(x)=³√x+5. (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: If g(x) = 4x + 5 and h(x) = (fog)(x) = 5x + 10 + 75, then f(x) = 54x+5+75 and (gof)(x) = 4.54x+5+305

A: If , then to find .

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

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Q: If u and v are the vectors below, solve the following equation for the vector x. 2 -3 3 4…

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Q: 2. (a) Find the inverse of the matrix A. A = (1₂6) 56 (b) Use your answer from (a) to find the…

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Q: 8) Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

A: Will is a bass fisherman. He considers himself successful if he catches at least 700 lbs of bass…

Q: Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal. 1…

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Q: Follow the seven step strategy to graph the following rational function. X-3 f(x) =___2 x-9 *** OA.…

A: The given function is

Q: 13 5 5-27 31. 5V27z yx 6

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Q: Find the standard form for the equation of a circle (x-h)²+(y-k)² = r² with a diameter that has…

A: Given equation is, .Given, diameter endpoints (-3,7) and (0,5).

Q: Find the vertex of the parabola by applying the vertex formula. g(x)=3x²-18x-89 The vertex is (0,0)…

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Q: A ball is thrown vertically upward. After / seconds, its height h (in feet) is given by the function…

A: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

Q: The line graph shows Calvin's savings account balance at the end of each month for 6 months. About…

A: As we can see from the graph, At the end of February, Calvin had $175 in the account.At the end of…

Q: A small train at an amusement park is carrying passengers. Half of the passengers are 6 years old,…

A: Given that half of the passenger are 6 years old,are 7 years old, 1/5 are 8 years old,1/5 are 9…

Q: Factor using the formula for the sum or difference of two cubes. 8y + y Select the correct choice…

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Q: For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g…

A: We have to find the f(g(x)) and g(f(x)) and if f(x) and g(x) are inverses of each other. First we…