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

Q: Express (-4)³ × (-4)⁹ as a single power.

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Q: 1. In Euclidean geometry with inner product in R³, (a) find the vector with length 2 and the same…

A: Let's find vector with length 2.

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

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Q: Which of the following is true about the data sets {101, 131, 134, 109, 152, 131} and {145, 99, 150,…

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Q: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

Q: Use a calculator to evaluate f(x) = log(x) at the given value of x. Round your result to three…

A: we can find the value of the given function  at x= 15.3 by Substituting x=15.3 in the given…

Q: Evaluate the arithmetic series when a = 12, an = 144, and n = 45.

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Q: Determine the value of "c" that will create a perfect-square trinomial. nt: Look at slide 1)…

A: Topic:- quadratic equations

Q: 51. Find x if* x=-3 x=-1 c. x = 1 d. x = 3 a. b. [₁]+²7=GH +2 X X 31 -1 y

A: I am attaching image so that you understand each and every step.

Q: Write the logarithmic equation in exponential form. log49 7 = 1/2

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Q: 2. What does the discriminant tell us about a quadratic function? Explain the three possible cases.

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Q: Let A - det (A) = [4 for A = - If the matrix is invertible, use the equation A-1: A-¹ = 11. and…

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Q: Find the area of the shaded region under the standard normal distribution between the given…

A: answer is in next step.

Q: A. Convert the equation to vertex form B. What is the vertex? C. Does this parabola open up or down?…

A: The equation of given parabola is y=-3x2+24x-36

Q: An office needs 3200 sticky labels. If there are 80 labels each package, how many packages should…

A:

Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

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

Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: A large region of forest has been infested with gypsy moths. The region is triangular, as shown in…

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Q: The count in a bacteria culture was 900 after 15 minutes and 1300 after 30 minutes. Assuming the…

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Q: Find an equation of the parabola drawn below: 0 Select one: 2 X a. (x-2)² = 2 (y + 2) O b. (x + 2)2…

A: We can answer the question as below.

Q: 4. Find the derivative of each function. a) f(x)=10' cotx b) y = 4 c) y=log, (sin x)

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Q: parts , i already answered the first so just answer 2 + 3 :) A population of rabbits grows…

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Q: The following data represents the age of 30 lottery winners.   20 29 31 33 42 43 44 45 47 50 52 52…

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Q: O POLYNOMIAL AND RATIONAL FUNCTIONS Finding the intercepts, asymptotes, domain, and range from…

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Q: In the diagram, BCD is a straight line. In the diagram, BCD B 4 cm Given that tan x = length of BCD,…

A: This question is related to trigonometric ratios and triangles ,we will solve it using given…

Q: Tanya is 12 years older than Leah . Three years ago , Tanya was five times as old as Leah . What is…

A: Tanya age =18 years  Leah age = 6 years  For detail...go through the solution

Q: Given the triangle ABC, if side a is 40 cm, side b is 25 cm, and side c is 18 cm, find angle C.…

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Q: (a) Calculate an LU decomposition of -3 6 [9] 2 -5

A: Note: Due to guidelines, I can solve only the first question. Solution: a) Here, A=-362-5 LU…

Q: Describe the process of completing the square and provide an example.

A: Process of the completing square :- General form :- ax^2 + bd +c = 0 1.  First of all Write the…

Q: h(x) { (x - 5)² -log₁ x + 6 0≤x≤4 X> 4 The domain of h(x) is [0, ∞). The x-intercept of h(x) is (5,…

A: Let's find key features of given function.

Q: Determine the zero(s) of the following equations using the quadratic formula (show all work) y =…

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Q: A knitting club has 14 members. It has to send a team of 5 knitters to a knitting competition in the…

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Q: 15. Which graph represents the circle given by the equation (x-2)² + (y+9)² = 64?

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Q: Use the graph of y = f(x) to graph the function g(x)=f(-x)-2. y = f(x) Ау 8 6- 27 Choose the correct…

A: NOTE: Refresh your page if you can't see any equations. . the graph of  is given  now we need to…

Q: cosec A/sec A = ? Select one: O a. sin A + cos A O b. tan A O C. cot A O d. cos A

A: Select one

Q: Solve for x. (Round your answer to three decimal places.) log6 x = 1/2  x =

A:

Q: An actor invests some money at 8%, and $26000 more than three times the amount at 10%. The total…

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Q: State the coordinates of the zeros of the quadratic relation y = 5x² - 5x - 30

A: We will find the coordinates of zeroes of given polynomial.

Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

A:

Q: A company has offered to pay you $98,250 for your first year there and then give you a 1.7% raise…

A: NOTE: Refresh your page if you can't see any equations. . the first year salary is $98250 so the…

Q: The function f(x) = 80 e -0.3x + 20 describes the percentage of information, f(x), that a particular…

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Q: Evaluate the given infinite geometric series described as 3+2+ + ...

A: This question is related to Geometric series, we will solve it using given information.

Q: Each four neighbors whose name are sean, maria, sarah, and bryan has a different occupation…

A: Given data:- We have 4 neighbors; Sean, Maria, Sarah and Bryan We have 4 occupations; Editor,…

Q: (V) Two diagonal matrices D₁ and D₂ are similar if and only if D₁ = D₂. True False Justification:

A: We know that a square matrix is said to be diagonal if its all elements are zeros except diagonal…

Q: Suppose that f is a linear function with slope -3.6 and that f(2) = 4. What value of x gives f(x) =…

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Q: ) def 1 = = 5m | 3 2 m 233 + m² 10m3-232-5 (2m3,m2) - hld - N/W 2(2m3+m2) - 1 1 23+1 ㅋ 1 - 7m2…

A: Take the LCM of the denominator first and then go ahead.

Q: H(x) = 1 - log 3x h(x) = log 3x-1 g(x) = log 3 (x-1) F(x) = -log 3x f(x) = log 3x G(x) = log 3(-x)…

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Q: If f(x) 5x + 1 and g(x) = X f(g(x)) = g(f(x)) = find f(g(x)) and g(f(x)).

A: Solve the following

Q: 4. Suppose that A, and A, are distinct eigenvalues of matrix A with corresponding eigenvectors x and…

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Q: h(x)=3√x+1-2,

A: