Evaluate y2−y1x2−x1 given the following values.   x1=21, x2=12, y1=21 and y2=3

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A: Follow the procedure given below.

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Q: 6. Given a matrix, A = 0 0 -2 1 1 0 3 = 1 2 Find all the eigenvalues of A. Then, find the…

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A: we need to graph the equation.

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A: Given g( x ) = x - 6x - 5h( x ) = 4x - 7

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Q: a. Rewrite the equation 2x+y+4= 0 in slope-intercept form. b. Give the slope and y-intercept. c. Use…

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Q: 6. Some exponential data was linearized by plotting log (y-1000) vs x. The equation of the linear…

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Q: Use the function to find the image of v and the preimage of w. √2 2, 2v₁ - √₂), v= T(V₁, V₂) = (1/²…

A: By using the given function to find the image of v and the preimage of w. Tv1, v2=22v1-22v2, v1+v2,…

Q: 1. In one season, the New England Patriots won 14 football games and lost 2 games. Which number…

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Q: Suppose that the functions u and w are defined as follows. u(x)=x-1 w (x)=2x²+2 W Find the…

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Q: In 1994, the moose population in a park was measured to be 4770. By 1999, the population was…

A: Given query is to find population formula and population in 2009.

Q: 3. Prove that the characteristic equation of a 2 x 2 matrix A can be expressed as X² - tr(A)X…

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Q: A survey asks: Which online services have you used in the last month: Twitter Facebook Have used…

A: Question : A survey asks: Which online services have you used in the last month: Twitter Facebook…

Q: Prove (problems 23-34), that for arbitrary positive integer n 23. n³ + (n+1)³ + (n+2)³ is divisible…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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A: we need to find out the correct answer from the options.

Q: Andy is exactly (to the day) 9 years older than Terry.   What age will Terry be when Andy is…

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Q: QUESTION 2: Line A is given by the equation: -10x + 8y = 52 Line B is given by the equation: 3x +…

A: The equation of the lines are: -10x+8y = 52…

Q: 5) Solve the system of equations using a matrix. Describe the geometry of the solutions. x + 3y + 6z…

A: Given: a) x+3y+6z=252x+7y+14z=58  2y+5z=19 b) 3x-y-5z=9y-10z=0-2x+y=-6

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Q: prove (sin4x-sin2x) / (cos4x-cos2x)   How do I prove (sin4x-sin2x)/(cos4x-cos2x) = cotx.

A: let  A=sin4x-sin2xcos4x-cos2xformula used is…

Q: Problem 16. Let T : R³ → R4 be a linear transformation such that 4 4 4 *0-U]•0-[H] T 3 = T 5 -2 Find…

A: To find the image of the given element.

Q: OGRAPHS AND FUNCTIONS Composition of two functions: Domain and range Two functions g and fare…

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Q: Consider the linear system of equations: X=        x1 + x2 = 0               x2 + x3 − 2x4 = 1…

A: The given equations are; x1+x2=0 x2+x3-2x4=1 x1+2x3+x4=0 x1+x2+x4=0.

Q: Evelyn borrows $32,400.00$32,400.00 to buy a Honda Civic. She pays $580.00$580.00 a month for 55​…

A: Evelyn borrows= $32,400.00

Q: Two functions g and fare defined in the figure below. 9 Domain of 8 Range of g Domain off Range of f…

A: Here it is to find the domain and range of the composition f∘g.

Q: Describe the transformation(s) of g(1/2 • x) + 1.

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Q: Which operation is a linear transformation? Differentiation of polynomial functions Inverse Laplace…

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Q: Determine whether each argument is valid. If the argument is valid, give a proof using the laws of…

A: Solution: (a) To check the validity of the arguement. ∃xP(x)∧Q(x)⇒((∃x)(Q(x))∧((∃x)P(x))

Q: Which of the following is a second degree trinomial?       a) 3x + 8     b) -4x2 - 6x + 7…

A: Which of the following is a second degree trinomial?

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Q: A cashier of a 24-hour convinience store, Yuna is paid Php 85 per hour plus an additional Php 450…

A: A cashier of a 24-hour convinience store, Yuna is paid Php 85 per hour plus an additional Php 450…

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Q: 92×12=76 * 768 3 - -

A: We are asked to find the volume of the come.

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the given…

A: The given matrices are;  a) 2  -3      0   2 b) 1  0  -2      0  0  0     -2  0  4

Q: GRAPHS AND FUNCTIONS Combining functions: Advanced Suppose that the functions fand g are defined as…

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Q: Suppose that the functions g and h are defined as follows. 9 g(x)=², x ±0 h(x)=x²-1 Find the…

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Q: Suppose that the functions fand g are defined as follows. 5 3 f(x)= 8(x)=x²8 g Find Then, give its…

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Q: T(i) = (1,2), T(j) = (3,1), T(k) = (5,-2). Find T(2,1,3) O O O O (20,-1) (1,20) (3,-2) (5,-2)

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Q: Suppose that the functions fand g are defined as follows. 4 f(x)=²78(x)=- - x+8 f Find Then, give…

A: Given f( x ) = xx - 7g( x ) = 4x + 8

Q: What are the roots of 2x³-8x-3=0? -7.9, -3, -0.38 -1.78,-0.39, 2.17 -3, -0.38, 2 -3, -2, 2

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Q: what is 6x+3=7x-8

A: The objective is to solve the above question.