Consider the quadratic form q = 39x² + (11)x3 + (−96)x1x2. Determine a change of variables (make sure the coefficient of x₁ is positive) Y₁ = x1+ and Y₂ = x₁+ x2 x2

Q: Mr. Jones has $11,000 to invest. He invests part at 4% and the rest at 8%. If he earns $680 in…

A: Given: Mr. Jones has $11,000 to invest He invests part at 4% and the rest at 8% He earns $680 in…

Q: x+3 If f(x) = and g(x) = x² - 5, what is f(g(4))? 2

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Q: Divide and state the answer in quotient form. Use synthetic division where possib f(x) g(x) f(x) =…

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Q: Which one is Proj o li 3j O -li+ 3j O 4i 5j 3 + in m 3 j (b-a) b (projection of b onto (b-a)) when a…

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Q: Let X = {2, 4, 5} and Y = {1, 2, 4, 6}, Which of the following arrow diagrams determine functions?…

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Q: A distance versus time graph is shown below. What is the instantaneous rate of change in the…

A: The instantaneous rate of change for the graph is given by =f(t+h)-f(t-h)2h, where f(t) is the value…

Q: 1) What is the remainder when x² - 4x² − 2x + 3 is divided by x + 1? Do not divide. Support your…

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Q: Write an equation for the line graphed below. -7 -6 -5 -4 -3 -2 7+ 6 + 5 4 3- 2+ رنا 7 1 -2 -3 -4…

A: We can write the equation of the line graphed in the below steps.

Q: Let S = {2, 4, 6} and T = {1, 3, 5}. Use the set roster notation to write each of the following…

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Q: Describe the error below for solving the equation 2+5√x = 12 and give the correct answer. 2 +5√x =…

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Q: 2. Factorize the following expression: a. 4 + 4(2) + 4 b. 108q 36+7q³ - 59q²

A: To factorize the following expression:  (a) 4y+42y+4 (b) 108q-36+7q3-59q2

Q: Let A= -1 1 10 D= Construct a 4x2 matrix D, using only 1 and 0 as entries, such that AD = I2₂. Is it…

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Q: -1 A 50° Choose 1 answer: 1 What is the value of the x-coordinate of point A? A sin(50) B cos(50°)…

A: Here we have to find the value of x-coordinate of the given point A.

Q: How long will it take to accumulate $23,000 if annual payments of $1,400 are made continuously into…

A: given final amount=$23000annual payment=$1400rate=7%formula used is A=P(1+r)t

Q: Each pie requires 2 pints of wild Maine blueberries. You need to make 6 pies. If 1 cup of berries…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Problem 46. Use the graph of f(x) below to graph the described transformation. f(x) f(x-2)+3 -1 3 20…

A: Given:

Q: Francine wants to join a health club and has narrowed it down to two choices. The Sportshaus charges…

A: Sportshaus charges: Initiation fee, ISH=$500per month fee, FSH=$10-------------Fitness first…

Q: 3 16 X₁ 40-4 + X2 -4 = -2

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Q: Determine which of the given points are on the graph of the equation. 4 Equation: y=x²-√√x Points:…

A: Given: y=x4-x

Q: Surface Area of Pyramids and Cones Find the surface area of each figure. Round answers to the…

A: To find: Tne surface area of the given figures. It is a pentagonal pyramid, with a base of 8 cm and…

Q: Sketch a line with the given features. 5 A y-intercept of (0, 2) and slope 2 -

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Q: 2. Find all critical points of the system = 2xy y' = x² + 2y - 4 and classify their stability…

A: To find the critical points of the system, we set both derivatives equal to zero and solve for x…

Q: Suppose A = 3 1 1 -2 (a) Find a vector XE R² such that AX = [7] - [2]. 9 (b) Find a vector X = R²…

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Q: 48) Use the graph below to answer the following questions. -9 -8 -7 -6 Function? Domain: Range: -3…

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Q: 3. Without doing any calculation, how can one determine the average rate of change of g(x) = mx + b…

A: Solution: 3. One can determine the average rate of change of g(x) = mx + b over the interval x1≤ x ≤…

Q: Solve: 2x + y + z + x + 2y + Z + X + y + 2z+ y + y+z+ X + x + W= W = 4 W : 5 W 6 W = 7 u + 2w = 8 u…

A: here we have to find the value of 'w'.

Q: 46. The diagram shows the graph of the functions y₁ and y'2. уй 5 ани YA -2- X On the same axes…

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Q: Perform the indicated operation. (8 + 7i)(8-7i) (8+7i)(8-7i) = (Simplify your answer. Type your…

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Q: - Let a, b, n be positive integers. Prove that if a = b (mod n), then (a, n) = (b, n).

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Q: K For f(x)=x² +8 and g(x)=√4-x, find a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify your…

A: Answers in step 2.

Q: ||| = O RATIONAL EXPRESSIONS Complex fraction without variables: Problem type 1 Doing t Vision, we…

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Q: Given the equation y = 3x - 5 The intercept is: The y intercept is: Be sure to enter the intercepts…

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Q: A factory makes rectangular boxes. The area of the top surface can be modeled by the function f(x) =…

A: Let length of rectangular box=l  unitLet width of rectangular box=w unit

Q: Peach has received a special order for 11,000 units of its product. The product normally sells for…

A: Given that , Number of units of special order = 11000 units Target incremental profit = $11000…

Q: √-2-x 3 x³-9x 20) f(x) = -

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Q: 13) h(-5) (5, x<-3 |x+3, x≥ −3 h(x) =<

A: h(x)=5, x&lt;-3x+3, x≥-3

Q: Write an equation for the function graphed below y = 1 7344 2 3 5 6 7 a

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Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

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Q: Determine if the function is one-to-one. 39) h(x)=-42√√x+99-8

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Q: 35x2 -36x-32=0

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Q: Find the solution of the equation x + 3y = 20, and 3x – 6y = 30 using graph.

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Q: K For f(x) = x² +6 and g(x)=√√9-x, find a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify…

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Q: Chad buys pineapples, watermelons, and a bag of grapes for a fruit sald. He spends a total of $29.68…

A: Chad buys pineapples, watermelons, and a bag of grapes for a fruit sald. He spends a total of $29.68…

Q: Use Pascal's Triangle to expand (y−1)3. Express your answer in simplest form.

A: Given: Use Pascal's Triangle to expand (y−1)3

Q: Find the minimum and maximum values of z=2x+3y, if possible, for the following set of constraints.…

A: We first need to graph the given functions÷ After graphing we need to shade the feasible region.

Q: K For f(x) = 6 x+2 a. (fog)(x); 1 and g(x) = -, find X b. the domain of fog a. (fog)(x) = (Simplify…

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Q: Name: Justin 1. Give the coordinates of ABC. Reflect over the y-axis, then give the coordinates of…

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Q: A mass weighing 4lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a…

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Q: For the equation y = a) Complete the table: (Choose any Integer for x) C = -21-2 -10-9-8-7-6-5-4-3-2…

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Q: Let A, B, C and D be 9 x 9 matrices such that det (D)= -3 and A can be reduced to D by the following…

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