Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y - k)² a² 62 Where: = 1,

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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A: Use polynomial function concept

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Q: QUESTION 4 0.048 kg of H₂O = mL

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Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

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A: Solution of given question is written in below steps.

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Q: √√√x + √√√x−1 = √√√2x-3 -

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Q: What quantity of a 70% acid solution must be mixed with a 40% solution to produce 150 mL of a 60%…

A: Given.

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Q: Which of the following is an example of a function? a) {(-2,1), (-1,2), (0,3), (1,4), (2, 5)} b) -7.…

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Q: At what interest rate must $5600 be compounded annually to equal $13,057.18 after 11 yr? Round to…

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Q: A polynomial P is given. P(x) = x³ 3x² + 9x - 27 (a) Factor P into linear and irreducible quadratic…

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Q: 3. Given g(x)=3x² − 2x+1, find each of the following. - a. g(0) b. g(-1) C. g(-x) d. g(1-t)

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Q: Are the vectors linearly independent if they are linearly dependent, find scalars that are not all…

A: A detailed solution is given below

Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

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Q: If Matthew scored an 15 points per basketb played 24 games in or how many points did the season?

A: We have to find out score

Q: A loan of $43,000 is made at 8.25% interest, compounded annually. After how many years will the…

A: Compound Interest Formula: A = P·1+rnn·t where A = Accrued amount P = Principal amount r = rate of…

Q: 1. Find the value of x if X - √x- Enter your math answer ... = 5

A: x-x-x-x-...=5

Q: 1 0 2 1 O 0 1 -7 -2 0 1 051 | Select one: 4 -1 3 x2z+3w = 1 y-w=5 5 -4 2x - 7y+z+ 3w= -4 x + 5z + w…

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Q: Determine the function's

A: Follow the procedure given below.

Q: Determine whether the given function is eve 11) f(x)= x3 + x2-5 Neither 12) f(x) = x3 - 2x Odd…

A: 11.fx=x3+x2-5even function ; if fx=f-x odd function :fx=-f-x f-x=-x3+-x2-5=-x3+x2-5fx≠±f-x neither…

Q: Find the equation of the line (in standard form , please) passing through the    Find the equation…

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Q: Solve the system by elimination 4x-2y=8 5x-3y=9

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Q: 3x² + 5x - 2 5-14x-3x is equivalent to (3x - 1)(x+2) (1-3x) (5-x) -(x + 2) x + 5 (3x + 1)(x+2) (1 -…

A: Given expression:- (3x2 +5x-2)/(5-14x-3x2)

Q: Consider the system of equations x-4y=-5 -3x+5y=1 a) Write down the tabular form of this system…

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Q: Find the distance (d) from the paint (9, 4, 6) to the plane z-y = 5. STAAVE

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Q: How much interest is owed on a 9-month, $8100 loan borrowed at 7.25% simple interest?  Round your…

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Q: Given the tables for fand g below, find the following: Т 0 1 2 3 4 5 6 7 8 9 f(x) g(x) 5 0 4 4 7 9 8…

A: The average rate of change of a function f(x) in the interval [a,b] is f(b)-f(a)b-a

Q: Solve the system of equations by using the addition method. 4x-3y = -28 12x7y=-20 The solution set…

A: The given equations:4x-3y=-28   ..........112x-7y=-20  ..........2

Q: Find all solutions, real or imaginary, using the method of your choice. Round solutions to three…

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Q: p2 + 13p + 40

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Q: Negate the statement: ”No college students like Nickelback

A: We are asked  to negate the statement

Q: 2) a) Using matrix method solve the following simultaneous equations         2x + 2y = 2       3x…

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Q: Let P3 be the vector space of polynomials of degree 3 or less. Define T: P3 → P3 to be the linear…

A: To find the matrix representation of the given linear transformation.

Q: All changes save 20. For the three-part question that follows, provide your answer to each question…

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Q: Let g be a function from Z+ (the set of positive integers) to Q (the set of rational numbers)…

A: Let's solve.

Q: Hannah and Andrea were selling tickets to the homecoming dance. They were set up in different…

A: Given information:- Hannah and Andrea were selling tickets to the homecoming dance. They were set up…

Q: Part 1 of 2 A bag of garden soll weighs 44 pounds and holds 5 cubic feet. Find the weight of 15 bags…

A: In this we find the weight of 15 bags,  and volume of 15 bags.

Q: Solve for x and y in the matrix A = if A² x= y = = 91 12 30 19 x 2 5 y

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Q: 2 X + 3x - 5 = 0 2 3X ²- 6x-3 = 0 Solve the quadratic by formula. You must show your method and…

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