Solve the system by Gaussian elimination and back substitution X- y+ 2z - w = -1 2x + y- 2z – 2w = -2 -x+ 2y - 47 + w = 1 | 3x 3w =-3 |

Q: 2) Determine the value of a so that A = 2i + aj + k and B = 4i – 2j - 2k are perpendicular.

A: This question is based on dot product application.

Q: Let A and B be 3 x 3 matrices such that A 3 = B 6 l10! The matrix C = A – 2B is invertible. %3D [5.

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Q: An unknown sample contains radioactive element U-235. If the original amount present is 3500 atoms, ...

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Q: Evaluate logo s(0.25), Answer is Answer:

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Q: 2. Prove Lemma: For all sets A, B, and C, A × (BNC) = (A × B) N (A × C)

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Q: the Tollowing ns. Simpiny resuit. (Indicate each rule that in each step) 1) b2 -4x5y³z² + 6x³y²z - 8...

A: -a3b2We know that 1am=a-m=-a3*b-2=-a3b-2

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Q: A 38° 80° B (4х + 2)° (7x + 13)° 147° Е В A F

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A: This is a problem related to the power function. Here height of the ball at each bounce is given in ...

Q: Compute the principal ( in $) for the loan. Use ordinary interest when time is stated in days. What ...

A: To find out the principal.

Q: Let A = [0 1 0 0 ], A^(-1) is equal to: * Does not exist Identity matrix Null matrix

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Q: State the pattern of the sequence by using explicit formula. 1. 3,4,8,13,22,36

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Q: Use this information to answer questions 3-6 below. What is your monthly payment if you choose 0% f...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost ...

Q: Explain whether 2x^2-4x-6 ÷ x+1 and 8x^2-2x(4x-1)-6 are equivalent or not, considering all restricti...

A: The given problem is solved below in detail.

Q: erson's blood pressure, P, at age y years. A.) Find the systolic pressure, to the nearest tenth of ...

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Q: Which of the following is a solution of the following equation valid near the origin for x>0? x²y' +...

A: heresolution y=9c'-6c'x+2c'x2+c"e-3xx2when x>0 but near to 0then e-3x→1theny=9c'-6c'x+2c'x2+c"x2 

Q: Find the QR-factorization of the matrix 1 0 2 2 1 1 A = 1 -2 -1 -1

A: We have to find the QR-factorization of this matrix.

Q: 3 -x + 2. 4 5+ Graph the equation y 4 -5 -4 -3 -2 -1 3 4 5 -2 -3 -4 -5+ 3.

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Q: Solve: x = 3y = -24             3x + 4y = -1

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Q: Solve in digital format please Simplify the following exercises (indicate each rule that in each ste...

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Q: Evaluate logo s(0.25), Answer is

A: Let x=log0.5(0.25)     Note that,logba=c  implies that bc=a

Q: If Picasso can paint an entire wall in 6 hours, which fraction represents the portion of the wall he...

A: Picasso can paint an entire in 6 hours.

Q: Christina is considering buying a new car with a sticker price of $23,599. Her credit union offers h...

A: Given query is to find the monthly payment.

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Q: 4. (a) | s] Using the method of cofactor expansion compute the determinant of the matrix -2 0 1 -3] ...

A: If we multiply by a scale, so we take common of matrix.  If we interchange two rows so we multiply b...

Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: -5 -4/-3 -2 -1 What is the least possible degree of the polynomial graphed above? 2.

A: In order to find the least possible degree of the polynomial, we should note the roots of the polyno...

Q: 5. Solve the Quadratic Inequality using chart method: -2x2 + 6x + 15 9

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Q: How is this intergrating done, it says they integrate between time  0 and time T. S = stock price ...

A: dS=μS dt dSS=μ dt Now on integrating,  ∫S0STdSS=∫0Tμ dt log(S)S0ST=μt0T lnST-lnS0=μT-0

Q: In which function does t vary jointly with q and r and inversely with s? Answer choices: A. t = ks/q...

A: Solved below

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to h...

A: We will use combination metod for solving this question.

Q: 1) Given r, = 31 – 2j + k, r, = 2i – 4j – 3k, 13 = -i+ 2j + 2k, find the magnitude of 2r1 – 3r2 – 5r...

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Q: A bus travels two different routes: the Green Route and the Blue Route. The routes are different len...

A: A bus travels two different routs : the Green route and the Blue route and the routes have different...

Q: Calculate the average rate of change for the function g(x) = 412 - 5x + 1 over each interval.

A: Given query is to find the average rate of change.

Q: Write the expression in simplest form. (Vx - V3y )(Vx +5/3y)

A: Given query is to simplify the expression.

Q: The mass of 10 apples is as follows: 115.2 g, 117.8 g, 215.6 g, 415.4 g, 131.1 g, 119.7 g, 211.9 g, ...

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Q: (a) Does the parabola open upward or downward? 口口 O upward O downward None (b) Find the intercept(s)...

A: Parabola

Q: Given the function f(x) = 3 + 4x, find and simplify the difference quotient.

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Q: Given below are descriptions of two lines. Line 1: Goes through (– 15, – 131) and (- 9, – 77) Line 2...

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Q: The populations P (in thousands) of a certain city from 2000 through 2007 can be modeled by P = 1646...

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Q: 2. Complete the proof below. Given: AB || CD, AD || BC Prove: AD BC D Statements Reasons 1. AB || CD...

A: Find your answer below 

Q: Simplity each radical expression. positive. L V16x°y10 2. 27x y12 3. 49x7y5 4. V8x10y9 3

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Q: If you make $57,200 and get $2600 raises each year, in how many years will your salary double? (Assu...

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Q: Determine when f(x) g(x) %3D f(x) = In (3z)- 2 9(x) = e-4

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: If z varies directly with x and inversely with y, when x = 2, y = 5, and z = 10, what is z when x = ...

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Q: 10. DETAILS CLA Factor using the AC method or Trial and Error. Write PRIME if a polynomial is not fa...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find Taylev Sevies af the Exce funckuns Sex)=Lnx atazt at azz

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Q: What is the inverse of y 5x +7?

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Q: 16 Solve the system of linear equations x + 4y – 2z = 15 2х — Зу + 52 %— 11 Зи + 6у — 4г 3 23

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: Simplify

A: