Can a function be both a polynomial function and a power function? Explain.

Q: The graph of a function g is shown below. Find g(1).

A: given the graph function g(x)

Q: The graph of a function f is given. Use the graph to answer the question. 12) For what numbers x is…

A: We have given graph of the function  From given graph  y=0 when x=-60,70 So, fx<0 y<0 x∈-60,70…

Q: Sketch the graph of each line. 1 y=x+4 √x+4 3 6 0 4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. The real…

A: Here we have given a matrix: A=3000012000-270008393029-3-82 Now the Eigenvectors for the matrix A:…

Q: The vector at A(rho = 4, phi = 40 degrees, z = -2) that extends to B(rho = 5, phi-110 degrees, z =…

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Q: Q1. Using Gauss elimination method solve the system of simultaneous linear equations x + 2y = = -1…

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

Q: 301. f(x, y) = cos(3x + 2y), T - I 8.

A:

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A: Topic - Exponential function We are given  Initial Population of bacteria=1500 Doubling time = half…

Q: Find the derivatives of the following functions. 3at2 i) x= 1+t Bat 1+t y =

A: To find the derivative.

Q: The problem of finding the optimal value of a linear objective function on a feasible region is…

A: We write the problem of finding the optimal value of a linear objective function on a feasible…

Q: Using your graphing calculator fill in the tables and graph the following: f(x)=-.5x² + 3x +4. C.…

A: We can find x and y intercept and domain and range of the given function . After that we draw the…

Q: Let Pn denote the vector space of polynomials in the variable x of degree n or less with real…

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Q: 4. Identify the greatest common factor of the terms in each expression. a) 3x² - 9x + 12 c) x²y -…

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Q: symmetry with respect to the origin. Replace x by -x and y by -y. Write the equation in expanded…

A: Given query is to check the symmetry about origin

Q: What function is graphed below? -4 -3 15+ 13 10 9 8 7 6 5 4 3 -1 -3- -4 Of(x) = 4 = (¹²) ² 2 Of(x) =…

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Q: juan earns $7 per hour plus $20 per week making picture frames.  write a function g(x) for juan's…

A: Given: Earning per hour = $7 Extra earning per week = $20 To find: Total earning of Juan’s in a week…

Q: 2.1. 1 Given the matrix of M = 3 10 0 4 -6 -11 5 -71 find the inverse of M.

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Q: For a certain company, the cost for producing a items is 45x + 300 and the revenue for selling x…

A: Given the cost function and revenue function

Q: If 48 apples cost $12, how many apples can be purchased for $3?

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Q: An investment of $2679.08 earns interest at 6.5% per annum compounded quarterly for 3 years. At that…

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Q: Find the inverse function of f(x) ƒ-¹(x) = Calculator Check Answer = 15 + √x.

A: Given query is to find inverse function.

Q: Write the slope-intercept form of the equation of each line. 3) 4) --4-3-2-N y x

A: We need to write down the slope-intercept form of the given lines.

Q: X-4 X-4 Since these limits are not equal, f'(4) = lim (x)-f(4) does not exist and fis not…

A: Given f(x)=|x-4|=x-4, if x≥4=4-x, if x<4 So, f(4)=0

Q: Consider the Taylor expansion of In(1 + 3x) around a = 0. What is the third non-zero term? Enter…

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Q: d+d 10) Find f(-x) when f(x) -X x2+4 B)(C -x2+4 -X x2+4 D)-2

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Q: Let f: R² → R be defined by f((x, y)) = 9y-7x. Is f a linear transformation? -> a. f((x₁, y₁) + (x₂,…

A: Given  fx, y = 9y-7x

Q: A storage tank contains a liquid radioactive element with a half-life of 92 years. It will be…

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Q: Find ∫ 1/3x dx

A: ∫1x dx = ln x+C

Q: 9) Find F(x-1) when f(x) = 4x² +3x+5. A. -5₂x² + 4x+6 B.4x²-5x+12 C.4x²-5x-6 D. 4x2 +23x +12

A: We need to find out F(x-1).

Q: 2. Determine an equation in factored form for a polynomial function with zeros at 1 (order 2), 0 and…

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Q: Solve the following exponential equation by expressing each side as a power of the same base and…

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Q: Draw the graph of f(x) = − 4ª 10+ 9 ∞ 1 8 7 65 6- 4 3 2 744 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

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Q: = LINES, FUNCTIONS, SYSTEMS Domain and range from the graph of a discrete relation The graph of the…

A: Given query is to find domain and range of the relationship.

Q: is y=8 and x = -1 perpendicular or parallel

A: Given query is of find lines are parallel or perpendicular.

Q: You can afford monthly deposits of $130 into an account that pays 4.5% compounded monthly. How long…

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Q: The number of widgets that a manufacturing plant can produce varies jointly as the number of workers…

A: Given query is to find the value of k.

Q: why did you mulitple 8.2 with 27? where did 27 come from?

A: why did you multiply 8.2 with 27? where did 27 come from?

Q: 1. Rico plants an apple tree when it is 2 feet tall. The tree then grows 8 feet per month. The tree…

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Q: Find the value of k for the polynomial g(x) = -4x^2+7x+k so that x+3 is a factor of the polynomial…

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Q: The radius of a spherical ball is increasing at the rate of 5 cm/min. At what rate is the surface…

A: Given The radius of a spherical ball is increasing at the rate of 5 cm/min     We need to find At…

Q: The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If…

A: If three sides length of a triangle are a,b,c then the triangle is right angle triangle if it…

Q: How many truckloads of gravel will be needed to cover 4.8 miles of roadbed, 42 feet wide, to a depth…

A: We have to find the number of truckload needed.

Q: a linear model for the situation below passes through the origin.Find the missing value.Round to the…

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Q: 9x 1.53² 100 * 2. y²-16 y+3 * 2y+6 y-4

A: All the questions are solved below:

Q: Find the inverse of f(x) = - ƒ-¹(x) = -52+3 r1

A: We have to find the inverse of fx = -5x+35x-1.

Q: Q: Find the equation of the tangent and normal to the following curves at the points indicated…

A: The given curve is: x=cos t,     y=sin t      at   t=π4

Q: 20. Each day, Eliza runs and walks the same number of minutes. If she runs for m minutes and walks…

A: Here we have to find total number of minute she spend on walking and running as shown below

Q: polynomial is divided by -7x+4, the quotient is x-3 and the remiander is 6. What is the dividend?…

A: Given query is to find the dividend.

Q: llected from different fields from various farms in a certain valley. The table contains the grams…

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Q: It takes an older pump 5 times as long to drain a certain pool as it does a newer pump. Working…

A: let newer pump takes x hr older pump takes = 5x hr