Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is more than one x-intercept, separate them with com X-intercept(s): U vertex:

Q: 12. Given the table for f(x), answer the following questions 1 3 -6 f(x) 2 4 -9 a. Find f*(5) b.…

A: This question can be solved by applying the concept of inverse of a function.

Q: Let A = {1, 3, 5, 7}; B = (5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8};and U = {1, 2, 3, 4, 5, 6, 7, 8).…

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Q: If A and B are sets, then P(A) U P(B) = P(A U B). Select one: o True o False

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Q: company owns and operates a chain of auto parts stores. In 2002 the company owned 300 stores and had…

A: Given query is to find the number of stores in 2022.

Q: 4. A farmer estimated that there were 25 gallons of water left in a tank. If this is an…

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Q: Graph the function. f(x) = 5x2 y y 4 4 2 2 - x 4 -4 -2 -4 -2 4 -4 -4 y y 4

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Q: Make up a question that has 25 -1 as its solution. Explain.

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Q: Use Gaussian elimination to obtain an equivalent system whose coefficient matri echelon form. X1 +…

A: We are asked to obtain reduced matrix using  guass elimination method

Q: B(4,7) Cl9,5) 4 3 JA(1,2) 2 3 5 6 1 8 9

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Q: Prove that the set S = {n² : n E N} is denumerable.

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Q: 2. Find the value of x 65° 105°

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Q: Assume that the sequence is defined recursively. Find the first four terms of the sequence. (Enter…

A: Given first term of sequence               a1= 5    & nth term of sequence is given by…

Q: Determine the rate of change from the following graph. O-2 02 1/2 -/2

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Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

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Q: The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: topic- application of derivatives

Q: The graph of a quadratic function with vertex (0, 4) is shown in the figure below. Find the domain…

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Q: Find the area of parallelogram whose vertices are listed. (0,0), (5,2), (6,4), (11,6).

A: area of parallelogram = 2*area of triangle area of triangle = (1/2)[ 5 2 1]…

Q: evaluate (1+4i)^a when a=i^241

A: Let's find.

Q: 3. Find all the zeros of f(x) and write in factored form : f(x) = x* – 16

A: Please refer to the image below

Q: Perform the indicated operations and write the result in standard form. 1. (1- 3) + (4- 6i) 2. (-5 -…

A: We have to find the complex number As per guideline we have to solve three subparts

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

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Q: Fill in the information about the parabolas below. -3 2 2. 2. y = -x 3 y = -2r y = -31 (a) For each…

A: Given: The following parabolas are given y=-34x2y=-2x2y=23x2y=-3x2 To Find:  a To determine for each…

Q: The exponential model A = 20.2 e0.0131 describes the population, A, of a country in millions, t…

A: The exponential model A=20.2 e0.013 t describes the population in millions, t years after 2003.

Q: Refer to the given functions: (x) =x-4 g(x) and 'hich of the following is equal to: g(/(«) g(/(x)) =…

A: Given query is to find indicated composite function.

Q: f(x) %3 3(-х + 1)3 + 2

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Q: Find the time required for an investment of $11,000 to grow to $23,000 at an annual interest rate of…

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Q: For the three-part question that follows, provide your answer to each question in the given…

A: PART A:Population growth formula;P(x) = Pi (1+r)x  x=the number of daysr=rate of growthPi= Initial…

Q: The population of a small town is modeled by the equation P = 1750e0.5t where t is measured in…

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Q: Solve the differential equation. (Use C for any needed constant. Your response should be in the form…

A: The given differential equation is: xy2y'=x+4   We know that' The Power rule: ∫xndx=xn+1n+1+C And…

Q: 2005 Population Complete the table shown to the right for the population growth model for a certain…

A: We need to find growth rate.

Q: The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end…

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Q: Zet A = 8 4 Find bases for the kernel and image of T(x)= Ax. A basis for the kernel of A is A basis…

A: The given matrix is: A=-884-4 And, the matrix of T will be A itself. Now, converting matrix A is row…

Q: A doctor prescribes 175 milligrams of a therapeutic drug that decays by about 30% each hour. Write…

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Q: x² +2x+3, x² – x– 12 What value is a discontinuity of Ox= -1 Ox= -2 Ox=-3 Ox = -4

A: The given function is fx=x2+2x+3x2-x-12 It is known that, a point of discontinuity for a rational…

Q: Find the domain, the x and y intercepts, vertical asymptotes, and horizontal function. 2x 1) f(x) =…

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Q: Use the reduce echelon form "triangle upper matrix" to find the det(A), where A = 2 -8 6 8 3 -9 5 10…

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Q: 4. What is the sum of Trixie's and Janela's heights? 5. Gio grew foot this year. How tall was he…

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Q: An exponential function f(x) = a · b* passes through the points (0, 11) and (2, 176). What are the…

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Q: Brunhilda is training for the olympics. Her total distance of running is calculated by using the…

A: It is given that, D=8.75t+1.

Q: Which of the following can only be used in disproving the statement/s? O mathematical induction O…

A: ## which one of the following can be used in disproving the statement , the answer is as follows

Q: Which equations best describes the relationship between the corresponding values of x and y shown in…

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Q: In 2 that gives the time for a population, with a growth rate k, to double, to answer the following…

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Q: 1. Simplify: d) v V45x45 e) Vm13n23 m13 f) n23

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Q: write the number in the form a+ jb. (a) – 3 (b) (8 + j) – (5 + j)

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Q: The graph of a quadratic function with vertex (0, 3) is shown in the figure below. Find the domain…

A: We need to find domain and range.

Q: Simplify the following Expression 6+i / 5+7i =

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Q: 1. A student estimated that it would take 3 hours to write a book report, but it actually took her 5…

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Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

A: The objective is to find the set A' ⊕ (A U B).

Q: Find the doubling time of an investment earning 6% interest if interest is compounded continuously.…

A: Given query is to find the time to double the investment, if compounded continuously.

Q: Which of the following geometrical constructions is shown in the diagram below? O Constructing the…

A: Given query is to find the correct option for the construction.