Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x and y in terms of the real number a.) (x, y) = 3x 2y = -40 x + 3y = 16 )

Q: Solve for x. (Enter your answers as a comma-separated list.) X-4 |x-2x-5|=0 1 X =

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Q: Determine the interval(s) of continuity for the function: esin (t) 6 - 12 cos(t) h(t) over the…

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Q: rocket is fired upward with a velocity (v) of 570 feet per second.

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: Given equations :                                   x + y + z =0   -----(a) -x+2y+5z=6  ----…

Q: air traffic controller needs to calculate the height of an incoming jet. The jet's angle of…

A: Given angle of elevation 28° and horizontal distance 140 km..

Q: Researchers recorded that a certain bacteria population declined from 100,000 to 100 in 24 hours. At…

A: ⇒Pt=P0e-kt ⇒Pt=population at time t⇒P0=initial population⇒k=decay rate ⇒t=time in hours

Q: Use the elimination method to find all solutions of the system of equations. 4x - 3y = -24 1-8x +…

A: system of equation

Q: 1. The function f(x)= kx + 8x² has three turning points, an absolute (global) maximum value of 8 and…

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Q: Figure 1 of 1 Locate the centroid of the area. Tako 6-6 im, A-17 in (Figure 1) Express your answer…

A: Given that:   b=6  in,   h=17 iny=hb2x2Therefore the given curve is:y=1736x2

Q: Question 19 Look at the function that is graphed below. y 30 25 -20 -15 -10 5 -15 -10 -5 0 --5 -10…

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Q: Let f be a differentiable function on R. Prove that between any two roots of f(x) = 0, there is at…

A: We have to prove that between any two roots of f(x) = 0, there is at least one root of f(x) + f'(x)…

Q: Fill in the missing values to make the equations true. (a) log, 4 log, 3 = log, log, (b) log,+ log,…

A: a) log74 - log73 = log7? b) log5? + log57 = log514 c) log825 = ? log85

Q: Isolate variable logarithmic

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Q: Use the simplex method to solve the linear programming problem. z=6x₁ +3x₂ + x3 5x₁ +5x2 + x3 ≤40 x₁…

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Q: A loan of $4000 is due in 6 years. If money is worth 4.9% compounded annually, find the equivalent…

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Q: Find the length of the missing leg.

A: The traingle is shown below :

Q: Which of the following is an exponential function? y = 2x³ B y = 3x с y = x¹/2

A: y=2x3 y=3x y=x12

Q: A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his…

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Q: M(A) = 1875, n (B) = 2003, 1875-333 =1542 ➡n (ANB) Now ü) 2 m (A-B) 2 (B-A) = 333 5 a) The Venn…

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Q: 23. tan 4x 3 24. CSc 117 6 25. cos 2π 3

A: To solve the following

Q: 2 25

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Q: 5. Solve the 1st-order exact differential equation. Write the implicit solution (that is, do not…

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Q: The equation N(t) 1+ 49e-0.9t models the number of people in a town who have heard a rumor after t…

A: The number of people in a town who have heard a rumor after t days is given as  N(t)=3001+49e-0.9t

Q: Fill in the missing values to make the equations true. (a) log, 7 + log, 4 = log₁0 5 (b) log, -log,…

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Q: n a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected…

A: In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected…

Q: There is a bag with 10 balls inside it. 2 are footballs, 3 are soccer balls, 1 is a softball, 2 are…

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Q: 7. Find m/CAB and mZABC. 8. Find m/CAB and m/ABC. 126* (5x+10) (8x-4) (4x+4)* (4x-1) B

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Q: 7. What is the maximum value of the objective function z = 5x + 6y in the feasible set pictured…

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Q: If f(x) = 5x, g(x) = -2x + 1, and h(x) = x² + 6x + 8, find each value. 44. h[g(2)] f[h(-3)] h[f(9)]

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Q: 12. Factor by using trial factors. (If the expression is nonfactorable over the integers, enter…

A: To make the factors of the given quadratic polynomial by the use of hit and trial method if…

Q: The distance a person falls on a bungee chord in metres, h may be mod- elled with time, t in seconds…

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Q: The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point A is at…

A: The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point A is at…

Q: Suppose the breaking strength s in tons of a steel cable of diameter d in inches is given by  s =…

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Q: Find a polynomial function of degree 3 with -5, 0, and 1/2 as zeros f(x) = x³ + ²/1x² - 1/2x X f(x)…

A: We have to find a polynomial function with degree 3 with -5,0,1/2 as zeroes.

Q: 3r²8r+5 Given k(r) determine the end behavior. 3r24r 4' Round all answers to 3 decimal places as…

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Q: The logistic growth function f(t) = 114,000 1+5500et describes the number of people, f(t), who have…

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Q: Write an equation in slope-intercept form for the line with slope 4 and y-intercept 1. Then graph…

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Q: Find the intervals on which the function is increasing and the intervals on which the function is…

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Q: For functions  f(x) = 9x + 4  and  g(x) = x2 − 9,  find the following.     (g ∘ f)(x) =

A: The composition of the function f(x) and g(x) is given by: g∘fx=gfx

Q: The ball will hit the ground in seconds.

A: We will find the time t when the ball will hit the ground.

Q: The Cayley-Hamilton Theorem gives us a method of finding powers of a matrix. For example, if A is a…

A: Cayley-Hamilton Theorem gives the method of finding the powers of matrix. For eg: if A is a 2×2…

Q: Find all of the solutions to the equation 4 cos² (x) + 15 cos(x) - 4 = 0 which lie in the interval…

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Q: Solve the following inequality: x² + 3x + 2 x² - 16 >0

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Q: You are drawing an angle in standard position and you swing the terminal side until an angle of 281°…

A: swing the terminal side until an angle of 281°    Initial position : 0° , 360°,720°

Q: Write the statement in exponential form: log_(10)(0.01)=-2

A: Given:  equation log100.01=-2 To find: exponential form

Q: a 1 Sem 2 1.2.3 Quiz: Simplifying Cube Roots: Mastery Test Question 3 of 5 What is the value of this…

A: 3 3sqrt(x+y)- sqrt(x).

Q: List the x-values where the function is not continuous: - 2x - 3 if x < -2 e² if -2<x<0 8-x if 2 2 0…

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Q: The accompanying data represent the approximate population, in millions, of the 20 most populous…

A: The accompanying data represent the approximate population, in millions, of the 20 most populous…

Q: Use a graphing utility to determine whether A is orthogonal. A-1 = A = AT = ო|n O t|n 0 Find the…

A: A=350-4501045035

Q: The yield for strawberries is 87%. A pint of strawberries costs $1.29. How much would 1 cup of…

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