use the Laws of logarithma to expand the expression  a) log(x^2+9/(x^2+2)(x^3-4)^2

Q: sketch the graph of the function by plotting points  f(x)=log3 (x)

A: Question- sketch the graph of the function by plotting points    f(x)=log3x

Q: Which of the following quadratic equations matches the given graph below? O y= 2x -4x+5 O y= 2x* +4x...

A: Let the general form of quadratic equation y = ax2 + bx + c It has minimum value at x = (-b/2a) and ...

Q: Interpreting the parameters of a linear function that models a... Salma is a software saleswoman. Le...

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Q: Find the asymptote of the given exponential function y = 32 + 43x+2 32 4 3. 2

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Q: Yak purchased a car for $22,601. He obtained a 6 year term loan at an interest rate of 4.16%. Using ...

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Q: y (64, 3) 1 10 20 30 40 50 60 -1 -2 H 3. 2.

A: Given query is to find the function for graph.

Q: Let R be a relation on A = {1, 2, 3, 6} and R = {(1,6), (1, 1), (3, 3), (6, 1), (1,2), (2, 1), (2, 2...

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Q: Draw the Venn diagram for the following set: AU (BnC)

A: As per the Bartleby's guidelines, we can solve only 1 question at a time. Apologies for the inconven...

Q: Not every quadratic function will have zeros. O True O False

A: The quadratic function f(x) = ax² + bx + c will have zeroes only if, ' b² - 4ac ' is greater than or...

Q: 4. 21 - 4q + 42r - 16 = 5. 19st - 6s +t = 6. 107 + 107x - x =

A: Topic:- algebra

Q: f(x) = 2 – 2x + x?

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Q: What is the axis of symmetry of the following quadratic equation? y= 2x-4x-5 O x = -1 O x = -5 O x =...

A: The given equation is: y=2x2-4x-5 The objective is to state the axis of symmetry of the given equati...

Q: What is the vertex of the function f(x) = (x- 1)2- 5? O (-1, -5) O (1, -5) O (-5, 1)

A: Given:          f(x) = (x-1)2-5 Let               y = f(x)Then               y =  (x-1)2-5→If you lo...

Q: 3. 'Assume B, C, D, E are all bases for R2. If Pa-e-(). Pao- (7). Pe= (). 1 3 PB-E PD-C = %3D %3D 3 ...

A: Answer: The solution is as given below:

Q: Let R be a relation on A = {5,6, 8, 9} and R = {(8,8), (5, 5), (6, 8), (5, 9), (9,9), (9,5), (6, 6)}...

A: Given

Q: Consider the following linear differential equation, sin(r) y' – cos(x) y = 5 cos(r) (a) Calculate t...

A: Here, the given DE is: sin (x) y'-cos(x) y=5 cos(x) Dividing the equation by sin (x): y'-cos(x)sin(x...

Q: Find a basis and the dimension of the given subspace of R4: a + c a – b b+c E R4 -a + b

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Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0  

Q: 3. Prove the following two theorems about pairs of "twin primes," p and (Recall that "twin primes" a...

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Q: A poultry raiser wants to mix two types of grain: A and B. Each unit of grain A costs 40php and cont...

A: We will apply the concept of linear programming to solve this problem.

Q: Simplify. V6. V6 Convert each to expressions with rational exponents. Simplified expression with rat...

A: Given: 64.64

Q: Given the function defined by g(x)=-x^2-2x+4, find g(−3). Simplify. g(-3)=

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Q: C. y= Cie+ Caxe D. y=C + Caxe 20. If f(x) = 7* + 1, what is f(x + 1) – f(x)? A B. 7. 1 c. 6(7-) D. 7...

A: Given that f(x)=7x+1 Find the value of f(x+1)-f(x)

Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the...

A: Given query is to find the sides of the triangle.

Q: Find the axis of symmetry: f(x) = x-5x+6 O x = -5/2 O x = 5/2 O x = 1/4 O x = -1/4 ype here to searc...

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Q: The graph of f(x) = -x² - 5x+6 has the point (-8, 2) on it. O True O False

A: The function is given by fx = -x2-5x+6                                .........1 The point is  x, fx...

Q: 3. 18г + 13г + 4r - 3r %3D

A: Solution 3.  18r+13r+4r-3r=18r+13r+r=18r+14r=32r (by adding same terms) =32r   

Q: How many integer solutions of r1 + T2 + x3 + x4 = 28 are there with 1. 0< r; < 12? 2. –10 < r; < 20?...

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Q: Find the x-intercept and y-intercept of the line. 2x+4y=-8

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Q: Solve the matrix equation for x -2 1 4 3 2 -1 -1 X = | 6 7 8 9. %3D 1 1 -4 1 3 7 9.

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Q: For the graph of a function f, determine the domain and the range of f. 10- ... Determine the domain...

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Q: Does the following set of ordered pairs represent a funtion? If so, does it represent a one-to-one f...

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Q: To the nearest dollar, the average tuition at a public four-year college was $3024 in 1997 and $3175...

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Q: Calculate the product of the cycles. 3. (1 3 4 6)(2 5 7) 4. (1 3)(2 6 7)(4 5 8)

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Q: Where does the line 2æ1 + 3x2 = 4 cross the æ2 axis, i.e., æ2 intercept?

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Q: 3398+5665=?

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Q: Finding x-and y-intercepts ot a line given the equation: Basic Find the x-intercept and y-intercept ...

A: Question: find the x intercept and y intercept of the line              x-2y =-2

Q: Solve the inequality 81(x+3) > 2532x-2 O {XER|x>=3 2/3} O {XER|x3 2/3} O {xER|x<3 2/3}

A: Given:

Q: 9. and V = 4 Let U = What is the distance between u and V? O 532 O 53 09 O 3V5 O V53

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Q: Solve the equation 49(x-2) = 7x+3 %3D 49 -49 7 -7

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Q: express the equation in exponential form  a)log3 (9)=2 b) log3 (1)=0 c)log8 (2)=1/3 d)log5 (0.04...

A: Given query is to express the equation in exponential form

Q: 5. JĀN BN Č|

A:

Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding J...

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Q: Find the domain of the given exponential function f(x) = 8*-2 + 9 O (9,+infinity) O (-infinity,-8) O...

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Q: Determine the area and circumference of 17. 5 in in

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Q: You are given that the eigenvalues of a matrix A are 2 and 3 with the corresponding 10 eigenvectors ...

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Q: Polynomial long division (12x^2+32x+21) ÷ (2x+3) give the quotient and the remainder.

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Q: 9. 14s + 35s = 7s + 42 Answer :

A: Let's solve given question.(1st for s and 2nd for n)

Q: Question 1 [Warm up!] Fill in the blanks below: d²y and dy (a) A function y = f (x) has a local maxi...

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Q: Problem 3: f (x) =2 - x2, 0 <x < 2; sine series, period 4

A: Problem 3: