Course: MAT 143: Algebra and Trigonometry Instruction: Answer Must be handwritten according to the question instructions and step by step clear explanation 4. (a) Use the properties of log to evaluate the expressions below without using a calculator. (a) log48-log42

Q: Given the function: f(x) (7x-3 x<0 7x − 6 x ≥ 0 Calculate the following values: f(-1) = f(0) = f(2)=

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Q: Starting with the graph of f(x) = 5*, write the formula for the function that results from (a)…

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Q: then A-1 = €

A: The inverse matrix is the adjoint matrix divided by the determinant.

Q: Are the following matrices invertible? Choose Choose Choose Choose 1. ✓2. < 3. 4. 4 3 -9 -4] 45 20…

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Q: A town's population has been growing linearly. In 2003 the population was 69,000. The population has…

A: To find the population in 2009

Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

A: A graph of the function is given.We have to find the equation of the graph.

Q: (4) Expand the following ratio of polynomials using Partial Fraction Expansion. (b) F(s) = s²-1…

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Q: Find the sum of the arithmetic sequence: {4, 8, 12, …, 204}.

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Q: Graph the inequality in the coordinate plane. x<-1 -10. -8 -6 20 6 + e ∞ H 2 6 .8 10.

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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: 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: In a library, 40% of the books were fiction and the rest were non-fiction. When 875 books were…

A: The value of p % of something say S is given by equationS'=----1

Q: Perform the following matrix operation: 188 -3 4 -4] 8 + -9 -9 9

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Q: Calculate the remainder when (3x³ + 2x² − 5x + 1) ÷ (x + 2). Paragraph BI Uv Αγ |||||| < 영 + v ...…

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Q: When an object is dropped, gravity causes that object's speed to increase as it falls. The table…

A: Time (sec).    :  0.5   1   1.5     2   2.5Speed(ft/sec) : 10  17   20   36    44To calculate the…

Q: State all integer values of x in the interval [-2, 5] that satisfy the following inequality: 5+6>4

A: To solve the inequality.

Q: If then A= 4 1 ܐܐ -5 -1 0 0 0 0 0 0 0 0 1 1 1 2

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Q: then A-¹ = A -2 00 01 3 -5 00 7 4 1 20 4 1 1

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Q: During his weather report after the last snowstorm, a Baltimore meteorologist reported the low…

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Q: Suppose tan CT | CO 00110 What is the value of cos? 3 3 5 4 ㅠ and 17/2 0< 3π 2

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Q: Two students measured the height of a building whose actual height is 26.5 meters. Laura reported…

A: Actual height=26.5 meterLaura Reported height = 27.5 meterCarlo Reported height = 26.375 meter

Q: 1 and f(x) = x² - 4, state the domains of the √x following functions using interval notation. Given…

A: Domain of a function  y= f(x) is the set of all possible values of x for which f is defined

Q: Use the separation of variables to solve the ordinary dy differential equation +xy=0. dx

A: The given differential equation is,

Q: Solve for X. X = --x-17] X = I.

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Q: then a det b с a 6 d det b 6 e C 6 f a 2 d det b = b 3 e = c4 f d 1 1 e 1 fl = -4, and and dl a 1…

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Q: A cake recipe calls for 230.0 mL of buttermilk. How many cups is this?

A: Here we will find the no of cups and we know that 1 ml=0.00422675 cup so on solving this we get

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

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Q: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts,…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: f(x)=-5x g(x)=-5x      why are thye not inverses?

A: Two function f(x) and g(x) are considered inverses of each other when one function takes the range…

Q: d. e. 6 10 7 x = [17] 6 [100] 01 0 X = 0 0 1 Then X = f. 0 0 0 11 1 0 0 -P 0 1 0 X= Then X = 10 -10…

A: Note: As per our guidelines , we will find first parts as your all parts not too small .Please…

Q: Find the area enclosed by the two curves below. ۷ = x4 - 2 و أوجد المساحة المحصورة بين المنحنيين…

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Q: then A || -7 0 0 0 0 0 -8 0 0 0 0 -4 0 0 5

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Q: Q2: If 1 0 0 -6 A 1 20 -3 5 2] Show that bases for the eigenspaces are 8 # - 8 λ = 1: P₁ = 1; λ = 2:…

A: In this question , we will find eigenspace using eigen values.

Q: Savannah needs to borrow $6,200 for some home repairs. Her credit union offers a 30-month loan with…

A: Principle amount p = $62000Time t = 30 months = 2.5 yearsRate of interest r = 5.75%

Q: Let A be a 3 by 6, B be a 6 by 9 and C be a 9 by 3 matrix. Determine the size of the following…

A: A matrix is an array in the form of array that is of rectangular shape. Rows and columns are…

Q: An angle measures 150°. Which of the following is not a coterminal angle measure? ○ -210° O 510° O O…

A: CoTerminal Angles are angles in the standard position that have same terminal side.now, the co…

Q: How many axes are there in a dot plot? Ⓒzero one O two three

A: To Find :Number of axes in a dot plot

Q: For the function f(x) = -3x² + 2x - 5, evaluate and fully simplify each of the following. f(x + h) =…

A: Given :To Find :

Q: Given h() is a transformation of the graph f(x) below correctly describes h(x)? 3 21 + f(x) = 2x…

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Q: 2- Let x-x-8 = 0. Use secant method to find ₂ from the initial iterations o = 1 and ₁ = 2. 5) d)…

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Q: The following relation over { 1,2,3,4,5,6 } is an equivalence relation. R={(1,1), (2,2), (3,3),…

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Q: Use the graph of f(x) to evaluate the following: 161 5 4 3- 2- 1 -1 The average rate of change of f…

A: A graph of a function is given.we have to find the average rate of change of from to .

Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: You owe $40,000 in 2 years' time. Annualised yields are 7% at all horizons. There is a 1-year…

A: To immunize yourself against interest rate risk, the present value of the bond and annuity should…

Q: Describe how the given function can be obtained from one of the basic graphs. Then graph the…

A: The given function .We have to describe the transformation of the function.

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: Problem 5. Find and sketch the domain of f(x, y) = √81 – x2, then sketch a graph of the function.…

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Q: A person leaves home and walks 6 miles west, then 4 miles southwest.

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Q: Given the following functions, find each of the values: f(x)=x²-x-12 g(x)=x-4 (ƒ + g)(−1) =…

A: The given functions are,

Q: The functions f(x) and g(x) are graphed below. 5 4 Determine 2 1 -5 4 -3 -2 -1 -1 -2 -3 -4+ -5 1 2 3…

A: Given that we need to find the value function f and gWe will solve by using formula of sum ,…