X+8 6-x What is the maximum possible area for the rectangle shown?

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Q: Math 1314 Lab Module 3 2 Name año of For each of the following problems, show all work. Simplify and…

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A: For graphing the ordered pair (x, y), first we should find the ordered pair by substituting the x…

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Q: Use the simplex method to solve the following simplex problems. a) Maximise 2x1 +3x2+2x3 subject to…

A: We have to use the simplex method to solve the problem

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Q: Suppose f : A → B is a function, and C C A. Which of the following must be true If f is surjective…

A: Explanation of the answer is as follows

Q: 10. Determine algebraically whether the function is even, odd or neither: g(x) = X x² + 3

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Q: 4. Sketch the function that has a graph the shape of horizontal shrink by a factor of 1/3 and…

A: Explanation of the answer is as follows

Q: Sx. 3. a) Give an example of a rational function that has a hole in the graph at x = 3. +

A: Solution: A hole is a location on the graph where the function's value is not known. When a rational…

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A: Significant figures are used to establish the number which is presented in the form of digits. The…

Q: What is the range of the function f(x) = -7x²+6? f(x) 20 f(x) ≤0 f(x) 2-7 f(x) ≤ 6 All real numbers

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Q: Find the slope and the y-intercept of the line with the following equation. 5 3 Find the slope of…

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: Write a slope-intercept equation for a line that passes through (0,-5) and (7,-2). The…

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Q: How much money should be invested every quarter at 12% per year, compounded quarterly, in order to…

A: Given query is to find the amount invested every quarter.

Q: Simplify √48 + 3√√/24 - 3√/12 O 10√3+12√6 O 18√6 O4√5+3√2 O-2√3+6√6 Ⓒ-3√√8+2√12

A: Topic = Algebra

Q: and stayed there for awhile. Then he rode home again. Then he rode to th he rode home again." 1)…

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Q: 1. A payday loan company advertises a $500 loan. Payments are made weekly for 91 days. What is the…

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Q: Kara's Custom Tees experienced fixed costs of $500 and variable costs of $4 a shirt. Write an…

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Q: Let f(x) = x². If the domain of g is [-6, 5], what is the domain off. g? (Give your answer as an…

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Q: (b) Tentukan semua titik ketakselanjaran Determine all points of (i) (ii) f(x)= x) = { 1² f(x): =…

A: Given equations:- fx=8x2if x≥19x-1if x<1 fx=x-9x3-81x

Q: 12 Construct a singular value decomposition of A= 2 2 21 .

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Q: A= = [260] 13 32 392 " B = 5 1 1 -3 0 5 -2 3

A: Given:A=260132392, B=51-11-3-2053To Find: a To compute AB.b To compute the determinants of A and B.c…

Q: Problem 2 10 -3 Consider the matrix A (¹92³). -3 (a) Find the eigenvalues A₁, A2 of A. (A1 < A2) A₁…

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Q: Sketch the function that has a graph the shape of ??(??) = √??,  reflected over the ??-axis and…

A: Please see the below picture for detailed solution.

Q: 86. (3√2 – √3)(2√2 + 3√3)

A: (86) Simplify 32-322+33

Q: Find the perimeter. 4/1/2 143/ 8/1/201 HIN 10/ 12/1/2 10/3/2 Perimeter = [?] Simplify your answer…

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Q: 13. Explain why you cannot use the axes of symmetry to distinguish between the 3x² + 12x + 1 and y…

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Q: 16 A quadratic function and a linear function are graphed on the same set of axes. Which situation…

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Q: Find (fog)(x) and (gof)(x) and the domain of each. f(x)=x+2, g(x) = 4x² - 7x-2 (fog)(x) = (Simplify…

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Q: Prove by induction that 12" >7" +5" for integers n ≥2.

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Q: If the roots of ax² + bx - 2 = 0 are a + b = 1+√3 3 I what is a+b?

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Q: 1. Biologists conducted a 20-year study of fruit bat populations in a small African country. The…

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Q: Find an equation of variation in which y varies jointly as x and z and inversely as the product of w…

A: Given that, y varies jointly as x and z and inversely as the product of w and p. We have to find the…

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Q: scribe now the rt with the graph of f(x)=√x. Then pe an integer or a simplified fraction.) by…

A: we will find the required.

Q: For the given functions, find (fog)(x) and (gof)(x) and the domain of each. 2 f(x)=√x+5, g(x)=x - 5…

A: See this solution in below.

Q: 3. The population of Collin County, which follows the exponential growth model, increased from…

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

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A: The answer is in step 2.

Q: 2. For the graph g(x) below, find the indicated information. 4+ -7-6-4 -3 -2 -1 a) Find g(5). 3+ 2+…

A: Graph of the function gx is given, we have to find the required values using the graph. Note:…

Q: 11. x-7 2 3(y+4) 3 = 1 12. 50x20y = 10 BMU N 13. 2y-(x+4)=-(32¹)

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Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x)…

A: The given function gx=10x. We have to describe how the graph can be obtained from the basic graph.

Q: 4 An even function is a function such that f(-x) = f(x). An odd function is a function such that…

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Q: An engineer determined that the weight of a car and gas mileage have a linear relationship. A car…

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Q: 1. Find the inverse of each function. y = log4x y = log0.5x y = log10x

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