1. Verify that lim X-0 x meets the criteria for applying L'Hôpital's rule. (²x)-1. x 2. Using L'Hôpital's rule, find lim x-0

Q: y varies directly as x. If x = 3 then y = 24. Find y when x = 8. y=

A: Topic = Algebra

Q: 2 3 Solve for x. x-3 x + 2 Enter an exact answer (not a decimal). x = ±

A: Given 2x-3-3x+2=1 find common denominator    2x+2x-3x+2+-3x-3x-3x+2=1 Now,     2x+2+-3x-3x-3x+2=1…

Q: Use a proportion to solve the problem. On a map of the Fox River, 1 centimeter represents 6.5…

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Q: Solve for x and y using substitution. 5x+2y=20 3x+y=13 O x=6, y=-5 x = 6, y = 5 x=-6, y = 5 x=-6, y…

A: The given equations are: 5x+2y=20   ...13x+y=13   ...2

Q: Betty can mow a lawn in 90 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it…

A: we need to find out the time it takes to mow the lawn when both of them works together.

Q: Solve the system of linear equations, if possible. State any solutions and classify each system as…

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Q: 2 1 0 Lot 4 - ( 12 ) and (²) A = B = -2 1 1 1 of the matrix B x A? 00 01 1 What is the entry on the…

A: We have to find the entry of row 2 and column 1 of matrix BxA.

Q: solve each system by using either the substitution or the elimination-by-addition method, whichever…

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Q: (²21) 1 of the matrix B x A? Let A = and B = 1 0 What is the entry on the row 2 and column

A: Given A=10-21B=21-1110

Q: Calculate the table factor, the finance charge, and the monthly payment (in $) for the loan by using…

A: APR finance charge per $100

Q: Find the point of the way from (8.-3. 1) to (-6.-10. -3). 0 P=0 0

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Q: Evaluating Functions Given the function f(x) = √-2x + 2. Calculate the following values: Note: Round…

A: Put value of x in f(x) to find the respective values.

Q: Suppose z varies inversely with t and that z = 2 = 15 when t = 12. What is the value of z when t =…

A: Given :  z varies inversely with t. z=15 when t =12   To find : Value of z when t = 3?

Q: Use a proportion to solve the problem. In a sample of 79 widgets, 6 were defective. How many…

A: In a sample of 79 widgets, 6 were defective. We have to find the number of defective widgets in a…

Q: sophie worked 163 hours during the last 2 weeks. she earns $16 an hour. about how much did earn the…

A: Given Sophie worked 163 hours during the last 2 weeks. She earns $16 an hour.   We need to find…

Q: Factor the polynomial 12x3 – 2x2 – 24x

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Q: 18. (-1, -2) and (3, −4)

A: I have solved step by step in detail ...go through the solution

Q: Which of the following is the adjoint matrix of the matrix shown? 1 1 2 1 1 0 1 -1 2 3 2 1 0

A: NOTE: Refresh your page if you can't see any equations. . find the minors of a matrix

Q: Find the matrix of the linear transformation T: R2 → R2 which reflects a vector into the line y =…

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Q: Write the following expression in its simplest terms, without parentheses            (3x + 2)2 –…

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Q: 35 24 with a linear map f:R² → R² then the characteristic equation of the matrix P is: If P= is the…

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Q: solve each system using the method that seems most appropriate to you. (1/2) x + (2/3) y = 6 ; (3/4)…

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Q: onsider the basis B = {(2, 1), (3, 1}} for V = R2 and let {x1, x2} be the dual basis of B. hen for…

A: 1st question solve as there is no mention about second one

Q: Suppose that y is directly proportional to x. Find the constant of proportionality k if y = 131.2…

A: According to question,Given,y is directely propotional to x.

Q: Find all values of x so that the triangle with vertices A=(-4. x. -4), B=(-1. 3.-7), and C-(-7.…

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Q: ii) demonstrate that A A-¹ A-¹A=I

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Q: Solve for x using the quadratic formula and state values for a, b and c (x + 2)(x-6) + (x+3)² = 2

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Q: Write a polynomial f(x) that satisfies the given conditions.  Polynomial of lowest degree with…

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Q: Draw the line that goes through (3.5) and has a slope of 4. == Draw the line that noon

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -6 P-[122] ^-[- A=[_ -]…

A: The given matrices: P=-1-112 ; A=128-20-11 and A'=-1-652

Q: Ms. Oram has two kinds of flowers in her garden. The ratio of lilies to roses in the garden is 3:5.…

A: Given :Ms. Oram has two kinds of flowers in GardenThe ratio of lilies to roses in garder = 3 :…

Q: How long (in years) would $600 have to be invested at 11.5%, compounded continuously, to earn $300…

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Q: Formula for perimeter

A: We have to find the formula for perimeter.

Q: In Exercises 43-48, V is a nonzero finite-dimensional vector space, and the vectors listed belong to…

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Q: Write a ratio for the follwing description . Kaleel made three times as many baskets as John during…

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Q: 21 -(32) linear map kom (the composition of linear maps) is: Let k,m:R² → R2 be linear maps and M…

A: Let A=M(k)=2132 and B=M(m)=1401The matrix associated with the linear map k∘m is the product of the…

Q: 1. Jane invested a total of $18000 in three different mutual funds. She invested in a bond fund that…

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Q: 74. MEETING PROFIT GOALS A manufacturer of a certain com- modity has estimated that her profit (in…

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Q: The equation y = 4x² demonstrates variation with the Select two answers. square 4 2 cube (Select all…

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Q: Assume that x, y, z, and b are positive numbers and b # 1. Use the properties of logarithms to write…

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Q: Which two ratios represent quantities that are proportional? 28 A. and 48 and 2 and 11 37 B. O C. D.…

A: Given query is to find ratio which represents proportional quantity.

Q: Abby can bicycle 26 miles in the same time as it takes her to walk 8 miles. She can ride 9 mph…

A: Let's take speed by waling = x so speed by bicycle = x+9   But We know the equation for speed =…

Q: Question 39 -6 HP-(-3) is the If P= 4 5 A O^ (1) ₂ 4 OB.(-6 and oc./-3 - 12 is the matrix associated…

A: Let λ be an eigenvalue of a matrix A.  Then det[A-λI]=0

Q: Solve the system of linear equations, if possible. State any solutions and classif consistent…

A: We have to consider the given linear system is consistant or inconsistent according to the given…

Q: graph the line with slope -2/3 passing through the point (-5, -3)

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Q: y=-x-3 y = 3x + 1 solve syste equations y graphir

A: We will draw both the graphs, the meeting point will be the solution.

Q: 1.4) Simplify the following (3ab)²(x+y)(x-y) ++ 9 (9a²b²-9)(2x+y)² 3

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Q: Solve the system of linear equations, if possible. State any solutions and classify each system as…

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Q: -1 4. Is the slope positive, negative, zero, or undefined? -3 -2 -1 3 2 1 -2 -3 X 44

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Q: Solve the problem. Express your answer in simplest form. The second tallest child in a class is 40…

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