Given that (x - 2) is a factor of x³ + x² - 5ax + 2a², 'a' can take the value of 2 or which other number?

Q: Your search - 5 The mass of a substance varies directly with the volume of the substance. 100…

A: Concept: The unitary method involves determining the value of each unit before determining the value…

Q: Given the function C(x) = (x-4)(x + 7)(x − 2) its C-intercept is its x-intercepts are Question Help:…

A: Given: Cx=x-4x+7x-2 To find: C-intercept and x-intercept  we know that the value of c at x = 0 is…

Q: Evaluate the expression. Enter only the number. 4 Σ2k 2 Blank 1 Blank 1 Add your answer

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Q: 7. Over a ten-game span, Jack scored the following points in each game. What was Jack's Points Per…

A: We have  given score of Jack in 10 games Scores are : 14,13,19,17,14,18,12,14,17,19 Total score =…

Q: Using the inch= 15ft as the scale factor, what are the blueprint dimensions of a room in a modern…

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Q: (b) Determine the eigenvalues and eigenvectors of the matrix: 20 13

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Q: Find the area of the parallelogram whose vertices are list (0,0), (4,7), (8,2), (12,9) The area of…

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Q: .Draw the line that goes through (6-2) and has a slope of 0.

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Q: What is the y intercept of a line with a slope of 1/4 and a point at (12,10)?

A: We need to find out the y-intercept of the given line.

Q: Let S be the parallelogram determined by the vectors b₁ = -5 -1 and b₂ = -5 10 6 -5 5 and let A = -…

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Q: Arc Types Give the Measure of 5 Minor Arcs Give the Measure of 5 Major Arcs M BA is diameter 32⁰ 52⁰…

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Q: 4. What is the cardinality of each of the following sets? (a) S = {a, {a, {a}}} (b) S= {{a}, {{a}}}…

A: The sets S are given, we have to cardinality of the each of the sets.

Q: Find the zero of the linear function. f(x) = -5x + 50

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Q: Graph the solution of the following system. 3x + y ≥ 6 x≤ 1 Use the graphing tool to graph the…

A: We can find the solution to the given system of inqualities by using the graphical method.

Q: 21. If a car travels 792 feet in 12 seconds, what is the speed of the car in miles per hour?

A: We need to find out the speed.

Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. 3 f(x)=x³ -…

A: Given query is to find the derivative.

Q: (13) 11. Find the domain and range of the graph. (14)

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

Q: Which of the following statements about the linear system is correct? -2x + 3z = -8 3y4z = 10 Select…

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Q: Use the given graph of y = f(x) to find the intervals on which f'(x) > 0, the intervals on which…

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Q: A small publishing company is planning to publish a new book. Let c be the total cost of publishing…

A: This question can be solved using the concept of domain and range of a function.

Q: The expression 4 (rs)−¹(4s)² (4r) ¹ equals cresa where the coefficient cis of ris " the exponent e…

A: Given query is to simplify the expression.

Q: Find the first three terms of the sequence whose n th term is given. S n == A B C D 8 E n S S 1 1 S…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: The matrix A = 1 0 0 0 0 8 0 0 0 0 1 11 0 0 1 0 0 0 000000 is in reduced row echelon form. Select…

A: a matrix is in row echelon form if All rows consisting of only zeroes are at the bottom. The…

Q: with one of the four regions shown in the figure. Identify the unknown orner point of the solution…

A: We will find the required.

Q: C. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

A: Given patterns,

Q: Bose International Inc. had total revenue of $92,150 last year. Its total variable costs and fixed…

A: Topic = Algebra

Q: he expression 5 "x³y²) ³ (xy³) x³ y ² - 2 xe quals where yd ne exponent e of x is of y is the…

A: Given query is to simplify the expression.

Q: A) Find the sum 4+5+6+….+12 answer = ( ) B) The partial sum 1+7+13+…+211 equals ( ) C) Find the…

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Q: Suppose the population of rabbits can be modeled by the function  P = 37 · (1.31)0.2t , where t is…

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Q: Question 6 of 10, Step 1 of 1 G Your travel guide contains a grid map of Rome, with each unit on the…

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Q: Apply the steps in solving the inverse of a one-to-one function? Write your answers in a separate…

A: Topic  = Functions

Q: The Pirerras are planning to go to Europe 4 years from now and have agreed to set aside $150/month…

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Q: Consider a matrix: 7 5 -6 -6 7 5 5 -6 7

A: Given :

Q: Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91 yd2.

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Q: piest cost ful is the near is the fixed costs of operating a siness and a represents the costs…

A: Given query to find cost func and cost at for 5 bicycle.

Q: Assume that A Find det (A). 0 00 a 1 a 2 3 b b is invertible. M.

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Q: Classify the sequence as arithmetic, geometric, Fibonacci, or none of these and give the next term.…

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Q: Q1. Solve In(x) = 9. Q2. Simplify 4 loge (2e) — 3 loge (3e), expressing your answer in the form a +…

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: 4. Find the cubic polynomial whose graph passes through the points (-1,-1), (0, 1), (1, 3), (4,−1).

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Q: Let m and n be integers. Two integers m and n are said to be consecutive if |m−n| = 1. Consider the…

A: Consider the statement: If m + n is not odd then m and n are not consecutive integers.      (2.1)…

Q: When ax²-x² + 3x + b is divided by x - 2, the remainder is 59. When it is divided by x + 1, e…

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Q: Find the future value, using the future value formula and a calculator. 3 $1,000 at 7-% simple…

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Q: 4 07x+x+3x+ 3 10 x22 07x³+1 2x+12x+2x+x 12 x²³+14x².8 +14x¹²+9x² 26 11 15 4x+6x +10x³ +13x 6 21 6…

A: Given query is to find the polynomials.

Q: Find the future value of an ordinary annuity of $2,000 paid quarterly for 9 years, if the interest…

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Q: B. Use the difference table to predict the next term in the sequence. 1. 2, 6, 22, 56, 114, 202, ...…

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Q: Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the next…

A: To complete the pattern see the figures and try to relate them to numbers.

Q: Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. -x-5 x - 4y = 20 0=0 X 5

A: Given query is to write the equation of the line in standard form.

Q: If A is a 6 x 8 matrix, what is the smallest possible dimension of Nul A? Justify your answer.

A: The matrix A is a 6×8 matrix. We have to find the smallest possible dimension of Nul A.

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: The Solution is given below: