Exercise (Check your understanding) 1. Let find A. U = {1,2,3,4,5,6,7,8,9) A = {primes less than 10)

Q: Solve each system by graphing. 5 1) y = -x +3 3 1 y=-x-3 3 =-=-x- y X

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Q: Suppose f(x) = A.) f(− 1) + f(1) = B.) f(1) f(1) = - Br - 8x + 2. Compute the following:

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Q: Prove that the rank of a matrix, every element of which is unity is 1

A: Rank of a matrix refers to the number of linearly independent rows or columns of the matrix.To find…

Q: An electric utility company determines the monthly bill for a residential customer by adding an…

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Q: Find the Greatest common factor of 81 and 63 and 108

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Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the…

A: Recall: The volume of cube of edge is,  V=(edge)3

Q: (B) Find the standard form of the equation of the line. (C) Find the slope-intercept form of the…

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Q: Factor the following trinomial. Show your work and explain the steps you used to solve. a² + 10ab…

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Q: Solve the equation by extracting the square roots. 9x² = 144 X= X = Need Help? " " Read It (smaller…

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Q: Which of the following represents a valid first step to solving this system of equations using the…

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Q: Solve the inequalitie using algebra. Give solutions in interval notation.  3x2 + 4x > 15

A: Solve the inequalitie using algebra. Give solutions in interval notation.    3x² + 4x > 15

Q: Represent the expression BnC using a Venn diagram.

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Q: A football player punts a ball at an angle of 43 at 1.5 feet off the ground, with an initial…

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Q: Dividing Polynomials Example 1: Let's extend our knowledge of long division to the following…

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Q: olor Red ack Red Diamonds A ack Suit Ace Two Three Four Five Six Seven Eight Nine Ten Hearts 0…

A: Topic:- probability and statistics

Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with…

A: Use the Nth terms formula for geometric sequence.

Q: how to find the volume?

A: Topic:- geometry

Q: Mark each statement True or False, and justify your answer.  (T/F) Two matrices are row equivalent…

A: Row equivalent matrix : Two matrices are row equivalent if one can be changed to other by a sequence…

Q: 1 64g³y¹ √64g³y¹ equals kï´y³

A: Given 64g3y4364g3y4=kgrys

Q: -4x+y=-7 -6x+3y=-3

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Q: Write the equation of the line through the indicated point with the indicated slope. Write the final…

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Q: In Exercises 23 and 24, choose h  and k such that the system has (a) no solution, (b) a unique…

A: We can answer the question in the following steps.

Q: Problem 1 Algebra! For the following four equations/parts, assume the variable a is unknown and all…

A: Since you have posted multiple subpart question in this question which are not interlinked so i have…

Q: Vb3+2abзнать - Г3 + A) Va в 2bva ать c) Dva (62-22) Б)VЂ (ar-b") E F) дать агь

A: Let's simplify. Small mistake given in question, There should be 2ab^2 instead of 2ab^3.

Q: Showing all work and simplifying your answer, the real part of the following num- determine bers:…

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Q: 13. Graph the equation y = -1.6x +4. If you have a graphing calculator, you may Which of the…

A: Topic:- geometry

Q: a $10 service charge is deducted.

A: Given:  Dee had a balance of $114 in her checking account at the beginning of the month.

Q: Dan earns twenty-four dollars cleaning a home. How many homes did he clean, if he made one hundred…

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Q: Find the domain of the function f(x) = √7x − 3 - In interval form, the domain of fis Cubr

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Q: Q4) A- Graph the following functions and determine (domain, range): (1) y=2-√√x-1 (2) x²+1/ 3x³- 7x²…

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Q: B.) Solve the following Quadratic Equation as indicated 1) x² = 36 =0 2)(y-5)² = 25 JExtracting…

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Q: In the following exercises, mark each statement True or False (T/F). Justify each answer. (T/F)…

A: Question:  In the following exercises, mark each statement True or False (T/F). Justify each answer.…

Q: convert 8 kilometers to yards and round to the nearest 10th

A: Topic:- algebra

Q: You wish to minimise f(x)=10x12-x22.  If you use steepest descent starting at (1,1) will you reach…

A: We have to find the number of iterations needed.

Q: Solve a compound inequality involving intersections Solve x ≥ 0 and x ≥ −5 and write the solution…

A: The objective of the question is determine the solutions of given inequality.

Q: The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −2x² — 8x. -8 -6…

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Q: Find all integer solutions to x4 − x2y2 + y4 = z2 or justify that there are none

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Q: Consider the sketch of a sinusoidal function provided. Then answer the following questions with…

A: Given: From the figure, it can be seen that the amplitude is 2. And the period is 2π.

Q: The following graph shows the average American household debt h as a function of the date d. 140…

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Q: 10) City A experienced 18 armed robberies less than twice that of City B. In the two cities…

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Q: Algebra:  multiply these out; x could be any real number. Find (x-2)(x-1)x(x+1)(x+2) = …

A: Given expression (x-2)(x-1)x(x+1)(x+2) To simplify it lets use the formula a-ba+b=a2-b2

Q: If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: 4x+2y a) log, 144= (b)…

A: Here, given that logb2=x, logb3=y

Q: Convert from Fahrenheit (F) to Celsius (C). Use the 5(F-32) conversion formula C = 9 A city recorded…

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Q: A product’s price is $57.37 in 2022. In 2021, it was $35.99, in 2020 it was $30.12, and in 2019 it…

A: Topic:- application of algebra

Q: 2. Let a, b be non-zero real numbers. Let T be an n × n matrix. If T satisfies (Tal₁)(T - bln) = Onn…

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Q: Binomial expansion:  expand (x-c)4;  c is a real  number.

A: Topic:- binomial expansion

Q: -6 -5 -4 -3 -2 -1 O 2 1 + 1 2 3 4 5 6 -2 -3 -4 -5 -6+ Write the domain of the function using in O

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Q: Row reduce the matrices in this exercise to reduced echelon form. Circle the pivot positions in the…

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Q: The manager of a video store has compiled the following table, which gives the probabilities that a…

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Q: Explain how you can convert from a plane's scalar equation to a vector equation.

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