Prove the following. 1. The sum of four consecutive integers is even.

Q: 10+[3×(20÷5+2×8)]

A: We have to solve the given expression.

Q: The graph of a quadratic function with vertex (2, 3) is shown in the figure below. Find the domain…

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Q: log3(5x-1)=4 15

A: log35x-1=4

Q: Scenario The height, in feet, of an object shot upwards into the air with an initial velocity, in…

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Q: Consider the following function. f(x) = Describe the local behavior of the function. f(x) is…

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Q: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. 9 40 A = -8-30…

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Q: The graph of a quadratic function with vertex (-1, -2) is shown in the figure below. Find the range…

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Q: Find the perimeter of the polygon. 4.5 ft B 5.2 ft 6.2 ft 4.0 ft

A: The perimeter is the sum of all the lengths.

Q: The amount of a compost in a circular garden bed is proportional to the square of the radius. The…

A: here given that The amount of a compost in a circular garden bed is proportional to the square of…

Q: reate a Figure Given the Characteristics Belov Either Use The circle given below and use "Insert-->…

A: Topic:- geometry

Q: Prove or disprove: f is invertible. 3. (a) f: R→ R, f(x) = 3x.

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Q: QUESTION 20 What is the remainder when x² + 3x − 22 is divided by x + 7? 0 – 50 O 6 - 92 48

A: Solve the given

Q: Use the Laws of Logarithms to expand the expression. log (square root of ((x2 + 9) / ((x2 + 5)(x3 −…

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Q: Find the distance between the points P(9, -10, 7) and Q(-5, -7,-5). Use the square root symbol 'V'…

A: We need to find out the distance of between the given points.

Q: how do you solve sytem of equations?

A: See this solution in below.

Q: Let L₁ be the line passing through the points Q₁(4, 2, 4) and Q₂(10, 4, -2) and let L₂ be the line…

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Q: Part 1 of 2 Swimming Pool On a certain hot summer's day, 366 people used the public swimming pool.…

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Q: You deposit $200 monthly in a saving plan with APR of 6% for 10 years. How much would your…

A: Given query is to find the money accumulated

Q: ✓ Find the perimeter of the regular polygon. The perimeter of the regular polygon is (Simplify your…

A: Given query is to find perimeter of the polygon.

Q: 1. Let E, U, L, S, R and T represent one of 1, 2, 3, 4, 5 and 6, (different letter represent…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Determine the number of solutions to the quadratic equation: 5z² + 6z - 2 = 0. Provide your answer…

A: 5z2+6z-2=0formula used is     z=-b±b2-4ac2a

Q: Find the missing values of the arithmetic sequence A) s-r , 2r+2s , 5r+3s ,6 , ….. B) 6, a-b , 2a+b…

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Q: The functions f and g are defined as f(x) = 5x + 9 and g(x) = 1 - 4x. f a) Find the domain of f, g,…

A: Note: Since, the part (a) question is solved by the previous expert and the student has mentioned to…

Q: graph The inequality is (Type an inequality. Use integers or fractions for any numbers in the…

A: Given query is to find the inequality of the graph.

Q: certain route, an airline carries 6,000 passengers per month, each paying $200. A market survey…

A: Given query is to find the function for the number of passengers.

Q: f sets A={10,20,30,40}             B ={30,40,50,60}             C= {50,60,70}             U =…

A: The given sets are:A=10, 20, 30, 40B=30, 40, 50, 60C=50, 60, 70U=10, 20, 30, 40, 50, 60, 70

Q: K Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the…

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Q: Write out the first four terms of each sequence whose general term is given an= (-1)n+1 / 2n+ 1

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Q: prid car sold in the United States reports a fuel usage of 33 mpg. Determine how many kilometers per…

A: Topic:- algebra

Q: +6x+5=0 aph the associated parabola by plotting the vertex and four additional points, two on use…

A: Topic:- application of geometry

Q: 9. What is the average velocity of a race car that does exactly 440 laps around a one mile circuit…

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Q: Linear Functions Application Alex has $10. He earns $5 every week doing chores at his house. 1.…

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Q: Solve the given system using the inverse of the coefficient matrix. X₁ X₂ = 1 6x₁ + x₂ = 6 X = 00

A: The given system of equations, x1-x2=16x1+x2=6 We have to find the solution of this system using…

Q: om the 7 choices, select all that apply Let P denote the plane with equation x+y-z = 420. = 2 +to…

A: The equation of Plane is given as , P : x+y-z=420

Q: Complete the equation of the standard form of the line: ____x+___y+_____=0 that passes thru (-3,1).…

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Q: Question 2 A card is drawn (from a set of standard cards). What is probability that it is a king?…

A: Solve for the probability

Q: Find the distance of the line 8x-5y-121=0 to point (1,1)

A: Given query is to find the distance between the point and the line.

Q: Find the formula for 1+2-3+4-5...

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Q: Do not understand b. Not sure how the log etc goes in calculator?

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Q: Find the center of mass for the region bounded by +√4-y=x Fill in the requested value from this…

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Q: Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following…

A: Given query is to find the polynomial.

Q: Linear Functions Problem Solving Task Heidi and her family want to know if Cable is the best choice.…

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Q: n G₁₂ = "C8 12

A: Topic  = Algebra

Q: Use logarithms to solve the equation for a. 100¹ = 1,000 x= [blank] Enter your answer as an integer…

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Q: Work Problem 2 Write detailed answers for the following questions: (a) Find the reduced row echelon…

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Q: Use synthetic division to divide the following. (x3 +7ix2 - 8ix-4)÷(x + 1) The quotient is and the…

A: From division algorithm we know if we divide the polynomial f(x) by a polynomial g(x) then then…

Q: (i) Given that log, x+2 log, y=4 show that xy=16. Hence solve for x and y the simultaneous…

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Q: Linear Functions Application Alex has $10. He earns $5 every week doing chores at his house.

A: NOTE: Refresh your page if you can't see any equations. . Alex has $10,  he earns $5 every week…

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists). (If this is not…

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Q: -{[²]· [3²]} and c-{]· C) C= 17 coordinates matrix from B to C Let B= Calculator Check Answer be two…

A: Given that  B=−1117,−23C=11,−3−2