WORKSHEET 4: Rationalize the denominator. 2 +1 √2 √6+2

Q: 1. a. Graph the point H(-5, 8). b. Graph H' after rotating H 90° clockwise about the origin. c.…

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Q: Diagonalize -2 A = 3 -3 -2 2-2 -2 i.e., find an invertible P and diagonal D such that A = PDP-¹,…

A: Solution is given below:

Q: Let T be a linear transformation from M2,2 into M2,23 such that -1 0 2 3 = ([:)-[-) (8))-[:) ((:…

A: Given that T be a linear transformation from M2,2 into M2,2 .

Q: manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and R(x) =…

A: Given query is to find the profit function.

Q: Select all that apply.

A: answer is in next step

Q: Find the slope and y-intercept of the line. Graph the line. 3x-2y=6 O A. The slope is (Type an…

A: Given line, 3x - 2y = 6 To be found : Slope and y-intercept of given line

Q: X(t) = Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where -9 A = and x(0) =…

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Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

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Q: 1. Fill in the blanks and name the property used: (1) 11+........(-27) +11 (iii) 8×4=4× (iv) (v)…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 | ² || ² + 1²j||d² = dt = 0

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Q: Writing logu- log av+2 logaw as a single logarithm results in which of the following expressions?…

A: We can simplify the logarithmic expression as below.

Q: (3) Use any two points from the table to find the slope of the line connecting the points in the…

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Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

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Q: (5) Given that a =3, b= -4 and c = -2 evaluate the following, (a) 5ab + 6cb + 7ba-3ba-11bc-cb (b)…

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Q: write a polynomial function that has the given zeros: -4, √10,-√10

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Q: Write your own rational function that has a hole, but does not have a vertical asymptote. Make sure…

A: Given day of birth=28 We know that rational function is of the form p(x)/q(x)

Q: 1. Expand (x + 1)5 using any method of choice.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

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Q: The circle graph shows how the annual budget for a company is divided by department. Use this graph…

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Q: 10. Solve for t on the interval [0, 2π) (a) 2 cos² t-cost-1=0 (b) 2 sin²t-3 sint + 1 = 0 taol al (c)…

A: Given

Q: Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

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Q: a b e A² = (d

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Faisal is conditioning all winter to prepare for his college's hockey team tryouts. He is…

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Q: if 6 seamstresses can sew 15 skirts in 16 hours, how many skirts can 4 seamstresses sew in 8 hours

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Ox=2 0=8 Ox=9 O2=0 1. Choose the correct answer. Solve. /8x-8=8

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Q: 42x+4 x 644-x = (1/256)*-2

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Q: Write the standard form of an equation of an ellipse subject to the given conditions. Endpoints of…

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Q: 1. For each problem, identify the type of function you are dealing with (linear, quadratic, or…

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Q: Write the expression as a logarithm of a single expression. Assume that variables represent positive…

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Q: Rewrite the expression without the log of a product, power or root. log, (2¹1 √/10) = > Next…

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Q: A rectangular auditorium seats 1750 people. The number of seats in each row exceeds the number of…

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Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: For each scenario below, choose the graph that gives the best representation. (a) A helicopter takes…

A: Given data÷

Q: A sales agent is offered two salary options. Option 1 is a starting salary of $70,000 plus 13% of…

A: topic - linear equations

Q: plus

A: We will find the function.

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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Q: Prove each statement in 8-23 by mathematical induction. 8. 5"-1 is divisible by 4, for every integer…

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Q: Solve the following system of equations. 18x²-x-y=6 3x²-3x-y=-2 If there is more than one solution,…

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Q: 4) Tro

A: answer is in next step

Q: Find a rational function that satisfies the given conditions. Answers may vary, but try to give the…

A: We find a rational function if vertical asymptotes is x=-3 and x=5 and x-intercept (4,0).     Here i…

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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Q: Q1): The concentration of salt is given as a function of time by: -= 37.5-3.5x at the initial time…

A: Let's find.

Q: This furniture business makes tables and chairs. In each chair, It takes three hours to make the…

A: We need to maximize the profit.

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 1 Find f(-2),…

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Q: Yasmine have 168 stamps and Dominic have 213 stamps. After they gave away an equal number of stamps.…

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Q: 4. How many sets does the algebra A=(0,X, A, B,C,.....) contain? (This is the smallest algebra…

A: Given that the smallest algebra containing A,B,C. The givan algebra A={ Φ, X, A, B, C,......} Is…

Q: A sample of radioactive substance has an initial mass of 946.8MG.  This substance follows a…

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Q: Evaluate: 138 O 106897 O 51891840 O 1287 O 120

A: Consider  13C8