Identify as a difference of squares, or as a sum or difference of cubes. 4962 - 4 difference of squares sum of cubes difference of cubes Factor completely.

Q: √ + Let x = a √a²-b² 2 + a 2 √a²-b² where a, b e R and a ≥ b≥ 0. (a) By finding x², prove that x =…

A: The given expression , where  and .The aim is to prove that  by finding .

Q: Find a formula for the exponential function which satisfies the given conditions: g(x) = = 70 X 3 5…

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Q: The Family Fine Arts Center charges $22 per adull and $11 per senior citizen for its performances.…

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Q: Exercise 7.2.3 Compute the determinants of the following matrices using cofactor expansion along any…

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Q: If B = 101 -2 -2 -2 -1 -1 2 then det (B5) =

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Q: Determine each answer to the nearest tenth. Show your work. a. 32 is what percent of 85? b. What is…

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Q: -6 -5 -4 -3 -1 + -2 3 -4- --5 The graph above is a transformation of the function f(x) = |x|. Write…

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Q: Consider the following system of linear equations. -2x+12y=-14 4x-22y=25 Solve the system by…

A: The given system of equations

Q: 17. Consider the system x₁ + x₂ + x₂ = 2q 2x₁ - 3x₂ + 2x₂ = 4q 3x₁2x₂ + px₂ = 9 where p and q are…

A: Consider the system.where  are arbitrary constants. To find the values of  for which the system have…

Q: Consider the following system of linear equations. 2x-12y=8 4x-29y=6 Solve the system by completing…

A: Given the following system of linear equations.2x - 12y = 84x - 29y = 6We solve the system by using…

Q: Solve the equation 2x2 + 7x +3 = 0. Give the answers in ascending order in the form of a fraction if…

A: To solve the following equation.

Q: Calculate S = Σ ? = 1 + 2 +3 +...+n? i=1

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Q: The fox population in a certain region has an annual growth rate of 9 percent per year. It is…

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Q: Starting with the graph of f(x) = 6, write the equation of the graph that results when:

A: f(x)=6x

Q: Suppose you are driving between two cities. You drive half the distance at 50km/h. How fast would…

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Q: Sketching the Graph of a Rational Function sketch the graph of the rational function by hand. As…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Let A be a 2 x 2 matrix and a be a real number. Prove that det(a. A)=a² det(A)

A: Let A be a  matrix and  be a real number. To prove that,

Q: 4. (a) p(A) = (d) p(A): - Let p(x) = 2x² − 3x + 4 and A = 0 (3 (e) None of these 9 6 0 13 9 0 2 13…

A: Given,  and .For find p(A) put x=A in p(x).

Q: 10) 11) 1+- X 7+x=2y Explain if No. Explain if No.

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Q: Find the unknown term in geometric and arithmetic sequences and series. Given the sequence (8, 15,…

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Q: Suppose $50,000 is divided into two bank accounts. One account pays 4% simple interest per year and…

A: Total amount=$50000Rate of interest are 4% and 6.4%Time, t=5 yearsTotal Simple Interest=$12000

Q: Then where a = 812 = a13 = A = 1 2 -9 6 5 812 49 821 823 831 , 821 = ,a22 = , 23 = , 831 =

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Q: Write the equation of the circle centered at (5,0) with radius 8. Fully simplify the equation.

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Q: 10. You read 6 pages every 15 minutes. Your friend reads 8 pages every 18 minutes. Graph each…

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Q: Graph the linear equation. 2) 5x + 30y = 30

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Q: Let g(x)=x^2 if x>0 ;g(x)=-x^2 if x≤0 Answer yes or no. 1). Is g(x) continuous at t=0? 2). Is g(x)…

A: Note:As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a…

A: S=16t^2+vt

Q: The graph of two functions, f and g, is illustrated below. Use the graph to answer parts (a) through…

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Q: Determine whether the graphs of the given equations are parallel, perpendicular, or neither.…

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Q: Consider the following system of linear equations: -10x2-5x3 = 25 2x2+2x3 = -8 X1 X2 X3 = 7 Let A be…

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Q: Present a quadratic equation in the form ax? + bx + c = 0 where a > 1. 1. How many solutions does…

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Q: Tables of values for the linear function f(x) and for the quadratic function g(x) are given. All…

A: A function is increasing if its values are increasing with the increase in the value of x.In this…

Q: Use the product notation to rewrite the following expression. (t−4) · (t² — 4) · (t³ − 4) · (tª — 4)…

A: Given expression:To define:Corresponding product notation

Q: ercise 7.1.2 Find the following determinants. 1 2 3 (a) 4 5 6 7 8 9 (b) 102 25 3 -1 0 0

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Q: For the following system to be consistent, 4x− 4y+5z =−3 = 24 −2x+30y+kz −5x— 9y-9z =−9 we must…

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Q: DA D. (2. 3x2+4y √29 E. None of the above answers are completa.

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Q: (a) Find a matrix B whose entries are the times (in hours) spent flying each day. Make sure the…

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Q: The polynomial function A(t)=0.0034721-0.03742+0.1013t+0.006 gives the approximate blood alcohol…

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Q: The function g(x) is defined as: g(x) = r(x) x e(x) x a(x) What is the y-intercept of g(x)? How to…

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Q: The inequality 9-6n ≤5-7n can be solved by performing two operations on both sides. Which of the…

A: given inequality

Q: 8 420) - Blotg Write an equation in standard form for the parabola that passes through the given…

A: Write an equation in standard form for the parabola that passes through the given points. (1, 5),…

Q: 4.11 Recall that the velocity of the falling parachutist can be com- puted by [Eq. (1.10)], v(t) =…

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Q: Solve the quadratic equation 3x2 + 4x = 0 by factoring. Enter the exact solutions in increasing…

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Q: The graphs of two functions and g are shown below. Suppose the function h is defined as h(z) = a.…

A: We have to find the vertical intercept, roots and asymptotes for the function h(x).

Q: Solve for X. 8 -1 1 [359]--*+43 & 3] = −1 -3 -1

A: We solve the matrix equations in the same way as any other algebraic equations, except in matrix…

Q: Given the expression 75 · (1 – 0.20)2x, determine the percent rate of change.  80%  64%  36%…

A: Let,  A=

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

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Q: An ear of corn weighs 1.5 lbs. A case purchased from your local purveyor has 48 ears of corn. After…

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Q: Given h(x) = 4x+4 and k(x) = 4x + 3, which statement accurately describes all the range values the…

A: Consider the functions

Q: According to Descartes' rule of signs, the possible number of rate of return values for the net cash…

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