Use the properties of logarithms to expand the following expression. log 6(x+5)² 3/24 Your answer should not have radicals or exponents. You may assume that all variables are positive. log 6(x + 3 I 4 5)² log X

Q: Simplify the following expression:16g + 3 − 14g − 7After simplifying, what number is multiplied by…

A: In the given expression, 16g and -14g are like terms because they both contain the variable g.…

Q: 1 4 5 Question 3. Find A-1 (if exists), where A = -3 -1 -2 2 3 4 Question 4. State 4 equivalent…

A: Question 4: A matrix A is nonsingular (invertible) if and only if the following equivalent…

Q: 1) Listen Solve the quadratic equation by factoring. One solution is O. Find the other. (Just write…

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Q: Problem 1. In each of the following, either prove or disprove that the given subset His a subgroup…

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Q: 3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at…

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A: Finding Equilibrium PointsTo find the equilibrium points, we set both derivatives to zero:dx/dt =…

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Q: 15 Use . Make groups of ten. Write the tens and ones. 1. 90 ones HANDS ON Lesson 6.5 COMMON CORE…

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Q: Explain how solve 4x + 3 = 7 using the change of base formula logy: logy. Include the solution for x…

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Q: 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3x

A: Set up the partial fraction decompositionSince the denominator consists of two distinct linear…

Q: Pls help on both

A: f(x)=−3(x−5)2−1 has maximum value.The equation of parabola is. f(x)=(x−5)2−3 The second option is…

Q: Julie is selling candy bars to raise money for new band uniforms. Candy bar x sells for $2 and candy…

A: 1.Total number of candy bars is x+y. Since this is at most 36, we havex+y≤36Also number of y candies…

Q: 6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) +…

A: Explanation:

Q: For the problem below, what are the possible solutions for x? Select all that apply. x² + 12x - 62 =…

A: Step 1: Step 2: Step 3: Step 4:

Q: Exercise 12.2. Let F be a field and n Є N. (1) For every subset S of F", show that I(S) := {f(x1, .…

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Q: The table represents a quadratic function. Write an equation of the function in standard form. x 4 6…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1,…

A: We solve the rational equation:  x1​+x−71​=x−7x−6​  Step 1: Identify RestrictionsThe denominators…

Q: Use the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x…

A: Step 1:Understanding the GraphFirst, let's analyze the graph of y = f(x):(d) Find all x for which…

Q: What are some common pitfalls when translating English sentences into mathematical expressions? How…

A: Translating English sentences into mathematical expressions can be challenging due to differences in…

Q: 1. Let 15 -14 A = -10 9 13-12 -8 7 11 15 -14 13 -12 -6 and B = -10 9 -8 7 -6 5 -4 3 -2 E 5 -4 3 -2 1…

A: First Extract the required values   A2,3​ (Element at Row 2, Column 3 in A)The second row of A is:…

Q: Given that:  B1=AR + AI B2=ik(AI - AR) B1+B2a = ATeika B2=ikATeika Please find an expression for…

A: Note: If you have any doubt, ask in the clarification request, not in the comment.

Q: How does the graph of f(x) = (x − 9)4 – 3 compare to the parent function g(x) = x²?

A: If you have any help please let me know in comment box thankyou.

Q: O Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the…

A: Step 1:Given that two functions f and g, and their mappingsFunction f:Domain: {0,1,4,7,8}Range:…

Q: Pls help on both

A: Step 1:Step 2: Step 3: Step 4:

Q: Use the graphs to find estimates for the solutions of the simultaneous equations.

A: To solve this problem, we need to find the points of intersection of the two graphs:  y=2x2+2x+1…

Q: Calcúlate the cross product of v and w

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Q: Ms.sally has 12 studentsMr Franklin has twice as many students as Ms. Sally.how many students does…

A: Step 1: Identify the givennumber of students Ms. Sally has = 12number of students Mr. Franklin has =…

Q: 2. Write a system of linear equations in slope-intercept form has exactly one solution at the point…

A: If you have any problem let me know in the comment section.

Q: Express the following complex numbers in x + iy form. a. еiзπ/2 b. ein/2e-in/2 c. √√ d. (1 + i)8

A: Using Euler's formula, we can express any complex number in the form e^(ix) as cos(x) + i*sin(x).…

Q: > co LO -6 -5 -4 4 do 3 3 2 1 Τ O 1 3 4 5 --6- -CO 6

A: The solution of the given system is the intersection area of the two regions. Any point that falls…

Q: 4n²+2n 30-5n A) 2, B) 15 4 i√√√6 i√6) 2 2 C) i√6,-i√6 D) i√6 4 4

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Q: For the given linear function, make a table of values and sketch its graph. r(t) =- t +7 -10 -5 -10…

A: Step 1: Step 2: Step 3: Step 4:

Q: 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified…

A: Simplify the radical:Determine the greatest perfect square that divides 48. It's 16 (4²) in this…

Q: 2. Find the exact value of 12 + 12+12+√√12+ √12+ 12

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Q: Wha what the composition series in Module is there a rule to extract it? ? show that Zz has and Q Z…

A: I hope you are finding the material engaging and informative. If you have any questions or…

Q: 54, and 68 e Problem (10 point. in standard form (a + bi): 2+i √√3-2i ksgiving Problem (2 ion to…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let H = {(a a12 a21 a22, | a1 + a2 = 0} . € R²x²: a11 + a22 (i) Show that H is a subspace of R2×2…

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Q: See image for question

A: The ISBN-10 code is a 10-digit number that uniquely identifies a book. The last digit is a checksum,…

Q: Can u please creat a cubic function that is not a parent function.  Also can u then explain how to…

A: Creating a Cubic Function That Is Not a Parent Function The parent function of a cubic function is:…

Q: 1.2.6. (-) In the graph below (the paw), find all the maximal paths, maximal cliques, and maximal…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Pls help on both

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: 1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5

A: The correct steps to solve the equation  should be as follows:x3 - 25x = 0x(x2 - 25) = 0x(x + 5)(x -…

Q: (z- = (-2) (→ Use the FOIL Method to find (z — · -

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Q: 2. Find the distance between the point (1,-1,2) and the plane 2x + y -3z - 4 = 0 in R³.

A: Step 1:Step 2: Step 3: Step 4:

Q: Which expression is equivalent to: y=e^-0.5x? a)y=10^-0.301x, b)y=10^-0.217x, c)y=10^-0.434x

A: Step 1: Step 2: Step 3: Step 4:

Q: Graph without using the calculator y-1 = | x+4 |

A: Let me know if you have any doubts.Thank you!!

Q: 7. Consider the optimization problem below. Maximize = -2x1 + 4x2 + 23 subject to 5x1 + 22 - 323 3…

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Q: The encoding matrix A was used to encrypt a six-letter word, resulting in the ciphertext: WSKUNW The…

A: Given that,               The ciphertext is W S K U N WHere,         W = 22,  S = 18,   K = 10,  U =…

Q: 1. Reduce this radical completely. State your answer as your claim in a complete sentence. Be sure…

A: Simplified the radical by factoring the radicand, separating perfect fifth powers, simplifying…