A parabola can be drawn given a focus of (8,-11) and a directrix of y =3. Write the equation of the parabola in any form.

Q: 4. Find the principal representative of each of the following: x³ -x + 1 mod x + 2 in Q[x] i. x3 ii.…

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Q: Use the graph to find the domain of the function. S

A: By using the following graph to find the domain of the function.

Q: Solve the following system of equations using matrices (row operations). If the system has no…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 13 6 2e-5.4 ng arithmeth

A: The given expression is

Q: Find the sum: 8+4+0+...+ −4 Answer:

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Q: Suppose we wish to compute the determinant of -7 -2 5 -3 -1 3 7 2 -6 A = Next by cofactor expansion…

A: Given,

Q: Let A be the matrix below and define a transformation T:R³ R³ by T(U)=AU. For the vector B below,…

A: Given aT IS Alinear transformation such that T(U)=AUWe are given a matrix A and we have to find a…

Q: rate of 8 percent per year. Suppose the value of a house increases at an annual growth If the value…

A: Annual growth rate of 8 percent per yearValue of the house in the year 2000 was estimated at…

Q: oblem #3: Let A = 3 7 1 -3 -4 -5 -5 T -1 0 1 -2 (a) Find the dimension of the row space of A. (b)…

A: IN THIS QUESTION WE WANT TO FIND THE DIMENSIONS OF NULL SPACE AND ROW SPACE OF MATRIX A

Q: Solve the system of two equations in two variables. 1) 9x + 4y = -63 3x - 2y = -21

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Q: Let f: R R be defined by f((x, y)) = 7y - 3x - 3. Is f a linear transformation? a. f((x₁, y₁) + (x₂,…

A: The objective of the question is to determine whether the function f, defined by f((x, y)) = 7y - 3x…

Q: Solve the following system of equations: 2x1 + 2x2 = 3 x1 + x2 = 4 Find the least square solution…

A: The given system of equations

Q: Morgan found US$80 in his attic and sold it to a bank that charged him a commission of 0.55%. How…

A: Morgan found US$80 in his attic and sold it to a bank that charged him a commission of 0.55%.

Q: The function describes the value in dollars of an investment in year t. What does the function tell…

A: The given expression of the investment .The aim is to find the initial investment and the growth…

Q: Solve and check the equation. 1.4x + 4.3 = 0.6x - 1.94 O {-7.79} O {0.128} O {-7.8} O {-7.722}

A: The objective of this question is to solve the given algebraic equation for the variable x and then…

Q: The function 2x^3 + kx^2 + px -13  has a remainder of 21 when it is divided by  x-3 . The function…

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Q: 32 Ө 12

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Q: The percent of female smokers 18 years and older has decreased from 1965 to 2002. Use the table to…

A: Given Table is

Q: f(x)=x² + 6x and g(x)=1-x Find (f-g) (x) and (f-g)(5).

A: f(x)=x2+6x and g(x)=1−x

Q: Verify all vector space axioms and determine, if the set of all triples of realnumbers (?,?,?) is a…

A: The objective of the question is to verify if the set of all triples of real numbers (x,y,z) is a…

Q: Your answer is incorrect. Solve the equation f(t): eTextbook and Media eTextbook Hint = h (t) given…

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Q: Use properties of exponents to simplify the expression. Express answers in exponential form with…

A: Let assume,

Q: -11- 2 4) Let C => 32 -3 and D= 3 Find C-3D.

A: Let C=[1−32] and D=[−13−2]

Q: Write the equation in exponential form. log, 36 = b 36b = 6 b36 = 6 Ob6 = 36 6b = 36

A: log(base B) A = C ( logarithmic form)ie BC = A (exponential form)Example:(1): log( base 7)49 =…

Q: What is R(x) for this value of x? find C(x) for this value of x.

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Q: 3x² + 5x+2

A: Let P(x)=3x2+5x+2

Q: An investment initially worth $3000 grows by a factor of 1.063 every year. Complete the table below,…

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Q: 8. -3x² + 6x+9

A: Solution:Here -3x2+6x+9

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

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Q: 4 Using only a simple calculator, find the values of k such that det (M) = 0, where M = your answer,…

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Q: 4. Express the greatest common divisor of the following pairs of polynomials as a combination of the…

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Q: The functions s and t are defined as follows. s(x) = -2x+2 2 t(x) = x² + 1 Find the value of s (t…

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

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Q: Use synthetic division to evaluate f(x)=x^3-3x+12 when x=-5

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Q: 2. Write each of the system of equations below as a matrix equation of the form AX-B. Then solve…

A: Here we will find first inverse of A after that we will solve it

Q: Current Attempt in Progress Write an expression representing the quantity described: The investment…

A: The investment value is  drops by an eighth  times in a row.The aim is to find the expression…

Q: Let A be the matrix below and define transformation T:R³ R³ by T(U) = AU. For the vector B below,…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given that the function we have to find the x-intercepts

Q: Solve the following inequality. (x - 2)²(x+4) <0 What is the solution? (Type your answer in interval…

A: we are given an inequality and we need to find its solution.

Q: Solve the proportion. x-5 2 || O {114} 7 20 43 10 75 7 O57 10

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Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: A) Domain: Domain is the value of x for which the function is defined. Range: Range is the value of…

Q: If 2 1/2 pints of jelly filled 3 1/2 jars, how many jars will you need for 12 pints of jelly?…

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Q: Solve the system by the addition method. Be sure to check all proposed solutions. x + y = 2 x - y =…

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Q: A car accessories manufacturer produce three types of products. The time required for assembling,…

A: Data

Q: A principal amount of $830 is placed in a savings account with an annual interest rate of 3.72%…

A: The objective of this question is to calculate the total account balance after 23 years when a…

Q: 2.3 Determine a scalar e so that the vectors a- and b-<3, c, 2e are orthogonal.

A: given that,a and b are orthogonala=&lt;5,c,-4&gt;b=&lt;3,c,2c&gt;find the value of c?

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

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Q: For the investment described below, V is the investment amount in dollars and is the elapsed number…

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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…

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Q: Use the correct compound interest formula: nt r A = P(1 + )"t n A = Pert Find the accumulated value…

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