1. Prove that if n is a positive integer not divisible by 3, then n² - 1 is always divisible by 3

Q: 25. (3i)(5 - 4i) 27. (8+3i)(8 + 3i)

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Q: let f(x)=3x-2 and g(x) = x2+6x. write the expression for (f+g)(x),(f-g)(x),(fg)(x), and (f/g)(x)

A: We have given function  fx=3x-2 and gx=x2+6x so, (f+g)(x) = f(x) + f(g) =3x-2+x2+6x = x2+9x-2…

Q: Solve each inequality. |4x10|≤6 CUL 11. counties

A: According to company rules, I need to solve first question, so please repost remaining questions

Q: Question 12, 3.3.65 Draw the graphs of the two lines with the given properties on the same…

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Q: The perimeter of a triangle is 56in. The shortest side is 9in less than the longest side. The middle…

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Q: After taking of medicine bloodstream, a dose of medication, the amount remaining in a person's in…

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Q: From the sets of numbers given, decide which sets are infinite. Select all that apply. Review finite…

A: Find which is finite set and which is infinite set.

Q: You need Rs.69,000, twelve years from now.What is the minimum amount of money you need to deposit…

A: Solving the problem by finding the value of the principal.

Q: 1. The sum of two numbers is 45. The first number is twice as large as the second number. What are…

A: In this question, we need to find the two numbers.

Q: 2 x 2 matrices A and B, if all entries of the produc Either all entries of A, or all entries of B,…

A: Topic:- matrix algebra

Q: The initial value problem y' = √√²-16, y(x₁) = y, has a unique solution guaranteed by Theorem 1.1 if…

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Q: A system of linear equations has been graphed in the diagram. Determine a reasonable solution for…

A: Here we just have to use the notion of coordinate of a point lies in axis.

Q: 1 elect the functions f(x) = — and g(x)=√5-x. Select the Operation f g and Combine Functions box ide…

A: Topic:- function

Q: For the piecewise function, find the values h(-8), h(-2), h(3), and h(5). -2x-15, for x < -5 h(x) =…

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Q: The estimated population (in thousands) of a certain region is shown by age and eye color in the…

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Q: 1 For the function f(x)=x+2, construct and simplify the difference quotient f(x+h)-f(x) h…

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Q: The number of calories burned by various physical activities depends partly on the size of the…

A: Multiply number of hours with calories burnt in one day will result the answer.

Q: MULTIPLE CHOICE What is the LCM of the numbers shown below? 56, 160

A: LCM 56 , 160

Q: can be worth more or less (including zero) depending on your ans Express the pair of fractions using…

A: Answer: The solution is as given below:

Q: Solve the following system by graphing.                 y = 2x + 3 -4x + 2y = 6   Question content…

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Q: The population (in millions) of a country t years after 1800 is given by the function f(t). Use the…

A: Let's solve. First three questions already answered,hence we solve fourth question.

Q: or a line passing through the point (5,-5) that is parallel to the passing through the point (5,-5)…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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

Q: x-1)(x+4)/(2x-4)(3x+5)

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Q: Graph the pair of function on the same coordinate plane. Describe a tranformation that changes f(x)…

A: Given: f(x)=-x-1 g(x)=-x+2

Q: Learning Task 2 A. Complete the table below Given 1. 2x3x² = 5 2.4x² = 5x 3. (2x + 5)(x-4) = 0 4.…

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Q: In a quadratic equation problem, a student made a mistake in copying the coefficient of x and got 3…

A: Given Student 1 made a mistake in copying the coefficient of x and got roots as 3 and -2. Student 2…

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: parent function  graph shifted 5 units to the right   f(x) = | x - 5 |   Then it shifted 1 units…

Q: Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=2x-1 g(x)=3x…

A: Given; f(x)=2x-1 g(x)=3x.

Q: C. Problem solving Use any method (inductive, deductive, Polya's) 4. Using eight eights and addition…

A: Using Polya's method: Step-1: Here, note that you can use only number 8 and addition to take 1000.

Q: on which the function is increasing. in interval notation. Use a comma to separate answers as…

A: Topic:-  function

Q: When graphing an inequality a close circle means

A: Topic:- algebra

Q: 9. 10. у У II X 2x-3 2x-3 4x+1

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Q: 9/16 as a decimal rounded to nearest hundredth

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Q: Figure Qwas rotated about the origin (0,0) by 270 counterclockwise. 6 72 24 6 Which figure is the…

A: Given Figure Q is rotated 270° counter clockwise about origin (0, 0)

Q: In Problems 33-36, write an inequality that describes inpars each interval or graph. 33. [-3, 5) s…

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Q: ed, a professional golfer, is playing on a golf tour. The next two stops are 8 inches apart on a map…

A: Ted, a professional golfer, is playing on a golf tour. The next two stops are 8 inches apart on a…

Q: Let A = {y ∈ Z : 6 <y ≤ 18 and y is even}. What is |A|?

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Q: *24. NanHe made a design that used hexagons, rhombuses, and triangles, like the ones shown in the…

A: Concept: Given: 6 triangles form 1 hexagon and 2 triangles form 1 rhombus. The designs formed by…

Q: Find the slope of the line whose graph is given. www Select the correct choice below and, if…

A: NOTE: Refresh your page if you can't see any equations. . two given points are

Q: 2) The expression f(x) = 6x3 - 4x2 + ax + b leaves a remainder of 5 when divided by x-1 and a…

A: Given 1. fx=6x3-4x2+ax+b 2. When divided by (x-1) leaves remainder of 5 3. When divided by (x+1)…

Q: he equation of the line passing through P with direction vector d in vector form and parametric…

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Q: Solve the system by graphing.       y = 2x - 8 y = -4x + 4 Question content area

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Q: Let A = (-5, 3), B = (1, 0), and C = (3, 4). Prove that AABC is a right-angled triangle. Let u = AB,…

A: To show that the given∆ABC is a right angked triangle.

Q: C ign Up www-awu.aleks.com/alekscgi/x/lsl.exe DCF logo G Hernando County O REAL NUMBERS Evaluating a…

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Q: Find the y-intercept and the x-intercepts. Find the degree and the leading coefficient. Find the end…

A: Given

Q: Write out the series. 14. 15. 16. 17. 18. Σ2k+1 k=1 Σκ+1 k=1 k=1 2k k+2 Σ21-3) -1 k=1 Σκ' +0.5k k=1…

A: We can answer the questions in the below steps.

Q: Find k so that the line containing the points (-3,k) and (4,8) is parallel to the line containing…

A: Find k so that the line containing the points (-3,k) and (4,8) is parallel to the line containing…

Q: what is the x on this matrix; Ax(D+Bx)^-1 = C

A: Using matrix multiplication,

Q: ACTIVITY: Given the points (3,5)(2,4)(9,0) and (?,6). What could replace the? to create a non…

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