Suppose that the function f is defined, for all real numbers, as follows. 1 if x < -2 f(x)=(x-1)²-1 if-2≤x≤2 --/7-x-1 Find f(-5), f (0), and f (2). if x > 2

Q: 3.) Use the back-substitution of system x +7 -32=10 4+2=12 Z=2 to Solve linear quation

A:

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: In a race in which twelve automobiles are entered and there are no​ ties, in how many ways can the…

A: This question can be solved using the concept of fundamental principle of multiplication.

Q: Is the number 0.5 above the interval (0.15,0.33)?

A: Given, Interval (0.15,0.33)

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A:

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A: Given, Total collection of numbers = 45 numbers​ and, The order in which the selection is made does…

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A:

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A:

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A:

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A:

Q: Complete the formula for the law of sines sin sin 74° 65° f 4.8 F G 65 g 74 9 41° 41

A: Here is the solution:

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A: Let's find linear model for the data given.

Q: Solve for x and y. X = y = 17 1 5x + 20 5 [723]-[2725231 2y 1

A:

Q: Use the of a the inverse Possible. w/or O matrix capabilities calculator to find the matrix, of 2…

A: Find the inverse of the given matrix.

Q: 1. At a local high school, for every yearbook that is sold, $5 goes to a graduation bursary. For…

A:

Q: Find the sum of 40 Σ 18 18(3) n = 1 Sn=

A: Solve the following

Q: 4m 2. When looking at the graph of the function y = sin(3z), if a cycle begins at. , at what point…

A: We can answer the question by plotting the graph.

Q: 2.) Solve and the system of linear Solutions alge. check any (3x-y 28 x-2y=-9 1)

A: Topic:- solution of linear equation

Q: 12) The distance between the point Po(2,1,3) and the line 1: x= 1 + 4t, y = -6t, z=3-2t A) d (Po,…

A: Given problem:- Find the distance between point P02,1,3 and the line l: x=1+4t , y=-6t, z=3-2t

Q: A storage tank contains a radioactive element with a half life of 900 years. Let f(t) be the…

A:

Q: The first and sixth term of the arithmetic progression is 2/3 and 22/3 respectively. Find the sum of…

A: Let's find 12th and 17th term sum of arithmetic sequence.

Q: Determine by inspection whether the given set of vectors is linearly dependent or independent. Do…

A: To determine by inspection whether the given set of vectors is linearly dependent or…

Q: In the diagram, a sector of a circle of radius 12 cm is shaded. The area of the sector is 112 cm ².…

A: Given data:- Radius of circle, r=12 cm Area of sector, A=112π cm2

Q: a) Find the value(s) of k for the following matrix if the matrix is singular. GA 1 0 1 5 1 2 -4 -3 k…

A: a) The given matrix -1512-4-310k b) A and B are 3×3 matrices, where 2A=16 and B=9

Q: Let log +8 = D and log 11 = K. Write the expression in terms of D and/or K. log 564 log 564 = ...

A:

Q: a) Given the transformation T: M2x2 → R defined by T[(a b)] = a +2c-d. Determine whether T is a…

A:

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Suppose T: M2,2-P2 is a linear transformation. Let A, B, and C be the matrices given below, and…

A: The answer is given below:

Q: Given the 4 x 4 matrix with the following entries 001 0 0-1 -1 6 -3 -2 1-3 4 4 6 -7 Find the…

A:

Q: 3 a².b} a².6-3 3

A:

Q: Assume X, Y, Z are positive numbers. Use propertie of logs to write the expression - 2log X-blog₂ y…

A:

Q: Find the eigenva

A: Topic:- matrix algebra

Q: Solve by graphing, then Find X • 4x - 5y = -15 ° 8x +94 = -103 D

A: The linear equations are 4x-5y=-15 and 8x-9y=-103

Q: Find the inverse of the following equation. Show all work. X-3 g(x) = 2 I

A:

Q: If the null space of a 32x22 matrix is 12-dimensional, find the rank of the matrix. Your Answer:…

A:

Q: Solve the following linear system by Gaussian elimination. X1- X₂- 1 X3 Fill X1 + 3x₂ + 4x3-4 -X1 -…

A: The solution is,  x1=4x2=0x3=0

Q: At the beginning of the year 1995, the population of Townsville was 3563. By the beginning of the…

A: Given problem:- At the beginning of the year 1995, the population of Townsville was 3563. By the…

Q: The following data represents the age of 30 lottery winners.   23 35 38 39 40 41 41 44 46 49 53 54…

A: Topic - frequency distribution table

Q: Which of the following exponential functions grows at the slowest rate ? Select one: O a. y = 4x² O…

A:

Q: Suppose that a life insurance company insures 1,200,000 fifty-year-old people in a given year.…

A:

Q: 2. Evaluate the definite integral below. 6 √x Enter your answer in exact form or rounded to two…

A:

Q: Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the…

A: answer is in next step.

Q: Use the One-to-One Property to solve the equation for x. 3x − 8 = 9

A: answer is in next step. please give a like !!

Q: If A is an 7 x 12 matrix, then what is rank A² + dim nul (A²) equal to? Your

A: We can solve this as follows:

Q: A terminal point, P (x, y) is on the unit circle such that it forms a 150 degree angle in standard…

A: Given  UNIT CIRCLE

Q: Students at Arrowhead High School took a Math test with a mean of 120 and a standard deviation of…

A: Let X be the random variable of normal distribution with mean 120 and standard deviation 25 Let Z be…

Q: Use any convenient method to solve the following system of equations. If the system is dependent,…

A: Given 3x+y+5z=9x+6y-z=-254x+5y-6z=-34

Q: Establish a formula the following pattern in terms of any positive integer n and prove that the…

A: Given data:- The given pattern show below; 1·9+2=11 12·9+3=111 123·9+4=1111 1234·9+5=11111…

Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

A: Here is the solution: