48x 72y= 30y + 24 ry = 1/11 - 16x 6 In the given system of equations, r is a constant. If the system has no solution, what is the value of r? Answer Preview:

Q: V/70n (v/70n) 2 For what value of x is the given expression equivalent to (70n) 30%, where n > 1?

A: Step 1:To find the value of  x for which the given expression is equivalent to (70n)30x, need to…

Q: Can you solve it using Cramer's Rule

A: Solution:

Q: Add the polynomial show work step by step

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Q: 5. Let R and I be as in Exercise 1, and write out the distinct elements of R/I.

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Q: A quadratic function models a projectile's height, in meters, above the ground in terms of the time,…

A: Step 1: The quadratic function models the projectile's height above the ground. The initial height…

Q: 2) Derivatives (a) Prove the differentiability of the following functions over their entire domain…

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Q: 2. Verify the Pythagorean Identity. 1+cot20=csc20 Recall these helpful relations: sin20+ cos20 = 1…

A: To verify the Pythagorean identity,1+cot2θ=csc2θ we will use the following trigonometric…

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A: To determine the value of a−b for the linear function f(x)=ax+b using the given points, we follow…

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A: The net of the pyramid consists of four equilateral triangles. Each triangle has a side length of 6…

Q: 18. With H and K as in Exercise 16, prove that HMK is a normal subgroup of H.

A: Please complete the missing important information for further explanations.

Q: The Laplace transfrom L[e-* cos(2t)] = True ○ False 2s (s+1)² +4

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Q: 5x + 7y = 1 ax + by = 1 In the given pair of equations, a and b are constants. The graph of this…

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Q: Applications of Taylor Series We recall the definition of the general binomial coefficient (see…

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Q: Consider the plane π 1x - 2y+4z = -118 and the line L: (x, y, z) = (-4,4,5)+(-24, 4,8). (a) Show…

A: Step 1Given informationStep 2Step 3 : Step 4

Q: What are the points of discontinuity? x-2 y = 2 x+5x-6

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the plane π : ax + by + cz = d. Find conditions on a,b,c,d that ensure that the following…

A: To determine a, b, c,d for the given plane, let's analyze each condition one by one.a) For π to be…

Q: 6. Let u1 = (a) (b) (1,0,0,0), u2 (2, 1, -3, -2) and u3 = (4,2,-5, -1). = Determine if the vectors…

A: ###(a)To determine if the vectors u1​=⟨1,0,0,0⟩,u2​=⟨2,1,−3,−2⟩, and u3​=⟨4,2,−5,−1⟩ are linearly…

Q: Let u = = (-5, 10, -1), v = (-4, -9,4), and w = (-5, 7, 3). Prove/disprove: The set of linear…

A: Step 1. Definition of Linear Combinations: The set of all linear combinations of vectors   u, v, and…

Q: Choose all possible answer choices

A: Here's why: When the graph reaches f(8) which is its maximum, the graph tends toward downward. The…

Q: Find the perimeter without doors for master bedroom, find the area and how many square feet of…

A: Step 1:Given data :The perimeter of the Master Bedroom is represented as, P.The dimensions of the…

Q: Can you solve this by using the inverse of the matrix, with super-augmented matrix, thank you

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Q: S R P Note: Figure not drawn to scale. The circle shown has center O, circumference 144#, and…

A: Step 1:

Q: §7. (6 p) Let each set S1, S2 be formed by only one vector: S₁ Is S1 LI, LD or neither? Is S₂ LI, LD…

A: In the context of vector spaces, a set of vectors is said to be linearly independent (LI) if no…

Q: Let u1, U2, ..., un be a set of vectors, and suppose there are nontrivial solutions to x11x2u2+…

A: Let us see why we can express ui in terms of the vectors with respect to the basic variables if xi…

Q: Consider the sphere S centered at A (-4, 3, 4) and passing by B (1, -1, 9). Let πT be the plane…

A: Step 1: Step 2: Step 3: Step 4:

Q: ང་ ? ? ? ? ? Are the following statements true or false? Here A is an n x n square matrix. ? 1. If A…

A: 1. Answer: TRUE.Explanation: The sum of two invertible matrices is also invertible.2. Answer:…

Q: Graph each function in the interval from 0 to 2TT. Then evaluate the function at t = 1 and t is…

A: Step 1: Step 2: Step 3: Step 4:

Q: The master bedroom measures 12’0” x 13’6”

A: Given:Room Width (W) = 12'Room Length (L) = 13'6" = 13.5' Solution:The baseboard trim is installed…

Q: 5. If {}, EL, is an arbitrary collection of ideals I, of the ring R, prove that is an ideal of R.

A: Step 1: Step 2: Step 3: Step 4:

Q: Sketch the graph of each function in the interval from 0 to 2π. 20. y = 3 sin 0 2- 0 -2- 2. 4 6

A: since the equation is in the formy = a sin θ sine function is this form has a period is 2π Identify…

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Q: (AB)-1 = B-¹A-1 A-¹B-1 1 AB Prove your result. (This part will be graded after the due date)

A: The answer provided below has been developed in a clear step by step manner.Step 1:Step 2:

Q: 3. Prove or disprove each of the following statements. a. The set Q of rational numbers is an ideal…

A: a. The set Q of rational numbers is not an ideal of the set R of real numbers.For a set to be an…

Q: Exercice 1 (3 points); On considère la suite (,)définie par: 1,4 et 11 4u-2 1+" pour tout entier…

A: 1a) Vérifier que un+1​=4−6un​  pour tout entier naturel n Soit u_n  une suite définie par…

Q: Study room measures 9’0” x 15’0” Master bedroom is 12’0”x13’6”

A: To calculate the cost for the baseboard trim, we first need to find the perimeter of each room and…

Q: 4. Let a 0 in the ring of integers Z. Find b = Z such that ab but (a) = (b).

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Q: -4 4 Let T = 2 -1 22 21 The range of T is (x, y, z), where x, y, z must satisfy the equation

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Q: 10. Prove that if R is a field, then R has only the trivial ideals {0} and R.

A: We can prove this by using the following properties of fields:Fields don't have zero divisors: For…

Q: Can you solve this using the inverse of the matrix with super-augmented matrix. thank you. Please…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Consider the differential equation y" 2y' - 3y = 3te²t. - If the fundamental set of solutions to the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Name: Practice MH 米米 Date: Generate the next three terms of each arithmetic sequence shown below.…

A: (a) a, = -2 and d = 4To find the next three terms of the arithmetic sequence, we add the common…

Q: Write the​ slope-intercept form of the equation of the line satisfying the given conditions.…

A: The slope-intercept form of a linear equation is given by y=mx+b, where m is the slope of the line…

Q: 11 1 point Which of the below could be a correct polynomial function for the graph shown based on it…

A: The correct answer is f(x) = (x + 8)^2 (x + 6)(x - 4).  Here's why:1 Zeros: The graph shows zeros…

Q: 17. With H and K as in Exercise 16, prove that HK is a subgroup of G.

A: If you want more clear and further explanation please provide the needed complete data. Thankyou

Q: y -100- -80- -60- -40- -20- -8-7- 1 2 3 4 5 6 7 8 -20- -40- -60- -80- 100- Which of the following…

A: To determine which of the given equations matches the graph shown in the xy-plane, let's analyze the…

Q: Can you help me with couple things. If you could find the basic solution if it exists. then if you…

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Q: The function y(x) x − y if B = -2e + x + B is a solution to the differential equation y' =

A: Step 1:The provided function is:y(x)=−2e−x+x+B   .........(1)and the provided differential equation…

Q: Can you find the A-1 using the determinant, if then check your answer. Also can you not convert…

A: To find the inverse of a 2x2 matrix A, we simply rearrange the elements of the 2x2 matrix in a…

Q: Can you find A, can you use transpose properties.

A: Given the matrix equation,(6[12​−24​−81​]−A)T=⎣⎢⎡​237​7−12​⎦⎥⎤​ Solving for the value of A.Recalling…

Q: Could you do parts e and f

A: Step 1: Step 2: Step 3: Step 4: