Course: MAT 143: Algebra and Trigonometry Instruction: Answer Must be handwritten according to the question instructions and step by step clear explanation 1.(b)Find x in the logarithmic equations below be first writing them in exponential form. (b) log₂=-5

Q: 3 (0, 2) -3 (-1,0) (1,0) Determine the local (relative) and absolute extrema. Remember that extrema…

A: The graph is given as ,

Q: Simplify. 4x x² + 3x 10 8 2 x + 3x - 10 +²

A: Given data

Q: Suppose f(x) and f'(x) have the values shown. 24 25 26 27 28 x f(x) f'(x) 584 2 18 6 -4 -4 45 85 -5…

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Q: For f(x) = (x - 2)² + 4, do the following. a) Sketch a graph of the equation. b) Identify the…

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Q: Multiply and simplify. z²-z- 6 4z³ - 49z 2 Z- 3z-9 2 3 2z - 7z²

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Q: Write an equation for a line perpendicular to y = 5x + 3 and passing through the point (15,-6) y =…

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Q: A particular city had a population of 23,000 in 1900 and a population of 28,000 in 1940. Assuming…

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Q: Develop a model to show a general solution. Use the model to show the number of plants remaining…

A: Find how many plants were originally stolen?

Q: Find k such that the following matrix M is singular. 3 -9 -8+k 6 k= M = 1 -7 4 -3

A: Given here matrix M which is singular and asked to find the value of k.

Q: Let f(x)= x-6 and g(x) - +6. X Find the following functions. Simplify your answers. f(g(x)) =

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Q: A town's population has been growing linearly. In 2003 the population was 52,000. The population has…

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Q: Find the equation of the linear function that passes through the points (-2,4) and (2,-4) f(x) =…

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Q: x=7, x2-2x+5=

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Q: They need to divide up the money received evenly between their two cash registers to be ready for…

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Q: Simplify. 5 4a 4 5a

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Q: Kirsten was asked to simplify the following problem: (2x² − 6x + 3) − (3x² + 4x − 1) Her work is as…

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Q: For the given explicit formula, find the recursive formula. f(n)=18-3n.

A: The explicit formula

Q: Find the average rate of change of f(x) = 7x² – 5 on the interval [3, t]. Your answer will be an…

A: The given function  is We have to find the average rate of change in the interval .

Q: Housing prices in a particular neighborhood increased at rate of $1,200 per year.  If you bought a…

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Q: Perform the indicated operation. Show your work using the Equation Editor Tool. (2x + 4) − (3x² − 7)…

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Q: The function h(x) = (x+3) can be expressed in the form f(g(x)) where f(x) = x², and g(x) is defined…

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Q: 8! k=1 2k+1 k2 (k+1) =?

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Q: Find the inverse of AB if A-¹ = and B-1 = 42 01 1 1 B 12]. [88] 0-2 (AB)-¹ = =

A: find the inverse of  the matrix .We know that :IF A and B  are the non singular matrices .

Q: Find the slope-intercept form of the line satisfying the given conditions. Parallel to 2x + 4y = 5,…

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Q: The following list contains the number of movies that a group of 13 students saw in theaters in the…

A: Median, in statistics, is the middle value of the given list of data when arranged in an order. The…

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

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Q: then A-¹ 1 A 8 6 -2 0 -7 0 1 9 "

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Q: If the following polynomial is written in standard form, what would be the leading coefficient? -3x²…

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Q: Two systems of equations are given below. For each system, choose the best description of its…

A: We have to choose the correct solution

Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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Q: Mm.82.   ie. If you exhibit mastery at a level o dule without further review of this content. will…

A: The given inequality is

Q: What is an equation of the line that passes through the point ( − 8 , 0 ) (−8,0) and is parallel to…

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Q: 6 5 4 32 1 -6 -5 -4 -3 -2 -1 1 -2 -3 -5 -6 1 2 3 4 5 6 The graph above is a transformation of the…

A: The graph of the transformed function is

Q: Which function has a greater minimum? f(x) = 5(x-4)² - 3 ←+++- 765 y = g(x) 3+ 2 1 -7 -6 -5 -4 -3 -2…

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Q: Use the graphs to evaluate the expressions below. 61 5 4 3 2 1 f(x) 1 f(g(4)) = g(f(5)) = f(f(0)) =…

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Q: Use a graphing utility such as Desmos to help you graph r(x) = -2x² +5 on the Cartesian plane to the…

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Q: B Course: MAT 143: Algebra and Trigonometry Instruction: Answer Must be handwritten according to the…

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Q: QUESTION Solve for z. 4=(7)/(3)-(6)/(z) Simplify your answer as much as (00) EXPLANATION

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Q: wing operations: 3 6

A: Here question is in Matrix form

Q: Consider the following system of linear equations where k is a scalar. x -3x +y +y +y 2y +2z +2z = 1…

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Q: Find a formula for the linear transformation whose matrix representation given by

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Q: Find y'. y=x + 6x

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Q: Two tanks are interconnected. Tank A contains 80 grams of salt in 40 liters of water, and Tank B…

A: We have to set up the system of differential equations.We will use the net change in concentration…

Q: The matrix A = The eigenvalue −5 has associated eigenvector has eigenvalues −5, 0, and 2. Find its…

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Q: 1 -4 - 16 - 18 -4 5 9 -7 3 b₁ be column 1 of B and b₂ be column 2 of B. If A = b₁ = and AB =…

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Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

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Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Given that 2000 shirts can be sold for $129,Also, 13000 shirts can be sold for $63.The relation is…

Q: Consider the function graphed at right. The function has a Select an answer of The function is…

A: Given query is find the characteristics of the graph.

Q: Total profit is defined as total revenue, R(x), minus total cost, Cox), and is given by the function…

A: Given: To find: a)

Q: Find the general solution of the given differential equation. 5(dy/dx) + (1/x) y =25x^2sin(x).

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