Steps: 1) Set up an inequality showing argument is greater than zero. 2) Solve for x. 3) Write the domain in interval notation. Example 1: Find the domain a. f(x) = log₂ (x+3) b. f(x) = log5 (x - 2) + 1 c. g(x)= log2 (x²) d. h(x) = log(5 - 2x)

Q: Find the inverse of each function. 2 x+2 f(x)=-- -3 C) ƒ˜¹(x) = 2 x-2 3 -x-1 A) ƒ˜¹(x) = - -2 2 -x-3…

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Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

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Q: . (a) Find the coefficient of r in the expansion of ‹ (² + ²)² (+ -)

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Q: The sequence is defined recursively. Write the first four terms. a₁ = -17; a n-ªn-1 ⒸA. a₁ = -17, a2…

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Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

A: Given: An arithmetic sequence where:a=initial term=-5d=common difference=8 We are required to find:…

Q: Solve the following equation: 2 0= 4x - 8x +1 Enter your answer rounded to the nearest hundredth.

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A: We have,   D'(t) = 840.68 + 821.2t - 1u72.8t2 + 7.44 t3

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A: We have, Option (A) offers a payment of $735,000 at the end of 4 years. For Option (B), $220,000 is…

Q: 4. C 58° 3c+2° 54° 5. h_ 118⁰ 4h+1° 29° 6. V 47° 86° 4v+3°

A: To find the unknown for each  of the following triangle. (4) c=? (5) h=?  (6) v=? Note: Since the…

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Q: What percentage of cars were moving below the speed limit of 25 mph? O 16% 62% O 38% O 84%

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Q: Miguel is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a…

A: Number of ways of arranging n different items is given as  Total number of ways = n!

Q: 1a) Solve for x and y  x-y=20   2x +3Y=40 Substitution Method 1b) Solve for x and y   x=y   4x +3y…

A: To solve a pair of equations using substitution, first solve one of the equations for one of the…

Q: Find the solution of the equation. 4 4

A: 4=x5+x4

Q: PowerPoint Slide Show SSS-SAS-ASA-AAS-edited Compatibility Mode - PowerPoint Problem 2 Given: AC…

A: If two sides and the included angle of one triangle is equal to the sides and included angle of…

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Q: Answer 1&2 in order please

A: M and N are functions of x defined by: M(-x)=-x3-2x+8N(x)=-20x2+3x+8

Q: What is the water flow from a 1-inch solid stream nozzle on a handline operating at 50 psi? 209.98…

A: Nozzle Pressure (NP) = 50 psi Discharge stream d = 1 inch

Q: 7.

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Q: Determine which steps are used to find the product shown. Put the steps in the order in which they…

A: Given Expression x2 + 7x + 10x2 + 4x + 4 . x2 + 3x + 2x2 + 6x + 5

Q: (b) (c) 3 (a) Factors of 12 Directions - Complete the factors and sums table for 'c' in the…

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Q: In a high school with 1,500 students, which would be the best way to select a random sample of…

A: We have to collect the data about teenagers' preferences in music.

Q: Find the surface area of a square pyramid with side length 2 mi and slant height 4 mi.

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Q: Question 15 Develop your own arithmetic sequence starting with a term of 3. 1. Identify a common…

A: (a) Identify a common difference of our own choosing.(b) Use our common difference and the first…

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Q: A company manufactures two types of electric hedge trimmers, one of which is 2 hours to make, and…

A: This question can be solved using the concept of linear programming.

Q: What is the Q1, Q2, Q3, upper and lower range of the following set? 297, 239, 195, 183, 276, 270,…

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Q: Find the slope of the line passing through the points (-6, -5) and (4, 4). 0 010 8 X Undefined 15

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Q: Use the multiplication table to divide the given numbers in the indicated base. 24our 202four 2tour…

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Q: po Draw and label a Venn diagram that describes the PREMISES of the argument. Then analyze the…

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Q: Drag the key features to the correct location on the image. Each key feature can be used more than…

A: We have to determine the domain and horizontal asymptote

Q: 25. A is a 4 x 4 matrix with three eigenvalues. One eigenspace is one-dimensional, and one of the…

A: A is a 4 x 4 matrix with three eigenvalues. One eigenspace is one-dimensional, and one of the other…

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A: we need to find the equation of dotted line graph

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A: win means a gain of $2.50.. loss means a loss of $1.00

Q: Example 8: Continuous Decay Radon-222 is a radioactive isotope that decays at a continuous rate of…

A: Law of Continuous Decay P = P0e-kt Where P is the amount at any time t P0 is the initial amount k is…

Q: Compute the product. 0 -3 1 5-10 A. 15 O.C. 4 9 1 2 0 1 1 -1 63009 B. 0 10 0-1 0 0 OD. 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Loan Repayment  Yiwen borrowed $7200 from her father to  buy a used car. She repaid him after 9…

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Q: My Drive - Google Drive x nstructure.com/courses/528051/assignments/26620248 Wingeria-u.. d Desmos |…

A: x2-13x +24 = -x +4to find x

Q: 2. Let F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)) = (y cos(x) — y, sin x + 2yz — x, y² + 1)…

A: Given , F(x,y,z)=(P(x,y,z),Q(x,y,z),R(x,y,z))

Q: The graph of f(x) = has been transformed to create the graph of g(x) = b -10 -8 -6 -4 -2 What is the…

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Q: A candidate wants to use a combination of radio and television advertisements in her campaign.…

A: Let, x be the total minutes of spots on television and  y be the total minutes of spots on radio.…

Q: Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26…

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Q: Jane is a cashier at a variety store. He has a total of $580 in bills. He has 76 bills, consisting…

A: NOTE: Refresh your page if you can't see any equations. . x=number of $5 bill y=number of $10 bill…

Q: oblem 5. Find the general solution y'-2

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Q: Find the vertex! f(x) = 4x² +8x+1 = 4(x²+2x) + 1² = 4(x² + 2x + 1) + 1 + 1 = 4/x + 1)² +2

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Q: Q3 You and a friend each have a number of bills in your pocket. You have three 5-dollar bills and…

A: This is Question of algebra Here basic equation we have to formed from given information  And we…

Q: Solve = 5 [₁20-3,0) = 11 -41 -3 11 cos(4t) -1 17 sin (4t)

A: We define matrix as when a set of integers is arranged in rows and columns and is encircled on both…

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A: If E is an event , then the probability of occurrence of event E is given by P(E)=number of possible…

Q: The terminal side of angle θ in standard position intersects the unit circle at P(-1/2 , -√3/2).…

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Q: Find the slope of the line graphed below.

A: The given graph of the line,