Use the Theorem on Limits of Rational Functions to find the limit. If necessary, state that the limit does not exist. lim x--7 ²-9 7-x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim (Simplify your answer.) 7-x x--7 OB. The limit does not exist.

Q: Complete the table to make a list of five ordered pairs for the function below using consecutive…

A: Find out the consecutive pair of point.

Q: Determine with explanation which of the following polynomials is irreducible over the mentioned…

A: Concept: If a Polynomial cannot be Factored into nontrivial Polynomials over the same field, it is…

Q: All Boolean algebra (B,*,*') does not satisfy :Select one Associative None of these distributive…

A: A Boolean algebra is a branch of algebra in which variables are represented as 1 and 0 which are…

Q: solve: x^2(x+1)(x-2) ≥ 0

A: This question can be solved using the concept of inequations.

Q: Please write the answers directly. (1) Σ (+1) (2) The distance from the point (1, 2, -1) to the…

A: Note: As per our guidelines we are instructed solve only 3 subparts of a problem. Post separately…

Q: (3) The domain of the function z = ln(1 - 2² - y²) is ( (A) {(x, y) = R²|r² + y² 1} (4) Suppose…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the sum of series for which n-th term is given by an= 4/(5^n)

A:

Q: ABCDEF is a regular hexagon with centre O. OA = a,OB = b and M is the midpoint of BC. X is the point…

A:

Q: Simplify the function algebraically and find the limit. 2 x + 6x-7 lim 2 x→1x - 2x + 1 Select the…

A: Using L-hospital rule for 0/0 forms

Q: lim-o t- sin 3t² 1-cos 2t

A:

Q: Solve the compound inequality. 4x+1≤-7 or 3x+5>8 Graph the solution on the number line. 4 -11-10 -9…

A:

Q: In a survey at a local university, 57% of students say that they get less than the recommended eight…

A:

Q: 5. What is the solution to the system of equations shown below?

A: To find the solution of given system of equations.

Q: Why did you put the numbers in the specific formula? Why did you subtranct 96,000-96,000?

A: There is no specific formula.

Q: Write each of the following sets in correct roster notation: (a) {x^2 - 1 : x∈{0,1,2,3,4}} (b)…

A: The answers are given below

Q: Solve each equation. Round your answers to the nearest ten-thousandth. 14) 11 = 17 A) 1.2304 B)…

A:

Q: Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r…

A: Topic = Algebra

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: Solve for r to two decimal places. 4= e 5r ra (Do not round until the final answer. Then round to…

A: Topic = Algebra

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes…

A: Solve the following

Q: If B = {(1,1,0), (0,1,1), (-1,0,2)} is a basis of R³, then the coordinate vector of v = (2,0,1) in…

A: Solve the following

Q: In Exercises 7-10, find A², A-2, and A-k (where k is any integer) by inspection. 0 -6 0 0 7. A = A =…

A:

Q: (2) Let a = (1, 1,-1), b= (0,3,4). Then a × b = ( ). (A) (7,-4,3) (B) (7,4,-3) (C) (7,4,3) (D)…

A: Student has specifically asked for the solution to the questions (2), (3) and (4). Hence, answers to…

Q: [2 a-2b + 2c 2a+b+c] 26. A = 3518 a+c 0 -2 7 In Exercises 27-28, find all values of x for which A is…

A:

Q: equation 8* - 3

A:

Q: Equation: y = log10x becomes y = -2log10(x + 4) - 3 a) Complete the mapping notation b) Complete…

A: Given the function y=log10x is transformed to y=-2log10x+4-3 To complete the mapping notation and…

Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x) = 6-4x² r'(x) =

A:

Q: An eastbound train and a westbound train meet each other on parallel tracks heading in opposite…

A: Here we have to calculate the speeds of two trains travelling. Here we have used a formula:  speed =…

Q: Homework: Create 2 Quadratic Equations for the following. a. vertex (-5,-3) pt (-4,-5) b. vertex…

A:

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes…

A:

Q: Use this model to find the percent of prescriptions filled with generic drugs in each year from 2013…

A:

Q: Short Answers: a) State the maximum and minimum value of y = 4 sin(8πt) + 6.5 max: b) A cosine…

A:

Q: This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was…

A:

Q: ( 2x−y=5 (4x + 3y = 4 (3x - 5y = -6 x + 3y = 2 a. b.

A: Simplify the equation and solve for x and y

Q: System B x=2y=6 =x+2y=-6 The system has no solution. O The system has a unique solution: (x, y) = (…

A:

Q: What is in the parentheses with C

A:

Q: The entire graph of the function Write the domain and range of g using interval notation. (a) (0,0)…

A: Identifying the domain and range of g

Q: Determine the value for c so that lim f(x) exists. X-3 f(x) = +c, for x3 The value of c is.

A: Topic = Limits

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour…

A: Concept: 1 batch of cookies takes 94a cup of flour and 1 egg Now diving into the value of the given…

Q: What is the slope of the line through the pair of points (-2, 5) and (10, −11). Select one: 2 O 02…

A: Given points are A(-2,5) and B(10,-11)

Q: raph the equation using transformations. Do not make a table of values. y = 2| x |- 9 ←++ -10

A: Topic = Function

Q: Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the…

A: Solve the following

Q: An engineering professor conducted a survey regarding the favorite subjects of the students. The…

A:

Q: After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby…

A: Given problem:- After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If…

Q: 2) Consider the following system: x + by = 9 a₁x +9y = -27 Determine the value(s) for a for which…

A: Consider the system of equations            a1x +b1y = c1            a2x +b2y = c2Then, Unique…

Q: If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to find resulting function.

Q: 2) Consider the following system: x + by = 9 a₁x + 9y = -27 Determine the value(s) for a for which…

A:

Q: Find the domain and range of the following relation. {(-3,1), (0,4), (-1,0), (0,0), (2,2)}

A:

Q: 21. Let Ax = 0 be a homogeneous system of n linear equations in n unknowns that has only the trivial…

A: