Write the expression in the standard form a + bi. (-2+ i)(-2-i) (-2+ i)(-2-i) - (Simplify your answer.)

Q: Simplify the following expression 1. (8y +5)-(5x+3) 2. (2x-5xy+3y)-(2x-xy-2y)…

A: 1. (8y +5)-(5x+3)2. (2x-5xy+3y)-(2x-xy-2y)3.(12x-5y)+(-7x-5xy+2y)

Q: Consider the function f(x) = = -5x 4 Find the average rate of change of f(x) on the interval [-2,…

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Q: Multiply the following. Use the cancellation technique. 3²/ × × 4 1/2 =

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Q: For g(x) = (a) g(-7) 6x X+7' evaluate each of the following. (b) g(b) (c) g (x³) 2 (d) g(3x-7)…

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Q: A = 0 -1 3 -7 0-5 4 7 1 0 -2 -10 0 10 6 12

A:

Q: 1. Draw the graph of y=x² and the tangent at x=1. Estimate the slope of the tangent at x=1 by…

A: To find:-

Q: Sketch four lines such that three are concurrent with each other and two are parallel to each other.…

A: Concurrent line :- Line which have same lengthParallel line :- Line which have same angle of…

Q: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

A:

Q: Write in terms ofi Simplify your answer as much as possible. −44

A: Iota is square root of -1

Q: Find the eigenvalues and eigenvectors for A = [13 -30] 3 -5] The eigenvalue a + bi = has an…

A: The given matrix

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A:

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x)=x³ - 6…

A: Given that a function f(x) = x3-6.We find it's inverse function.

Q: 23. Suppose that you want to have $80,000 after 30 years. How much will you need to deposit now, if…

A: Compounded Annually Compounded continuously Where A is the final amount after time t P is the…

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 7x+3, g(x)=√x…

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Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

A:

Q: The number of bacteria in a certain population is predicted to increase according to a continuous…

A: The number of bacteria in a certain population is predicted to increase according to a continuous…

Q: An object is thrown upward at a speed of 162 feet per second by a machine from a height of 10 feet…

A: Height equation

Q: Mr. and Mrs. Hernandez hope to send their son to college in twelve years. How much money should they…

A: To calculate the amount of money Mr. and Mrs. Hernandez should invest now, we can use the formula…

Q: Simplify the following expressions [7³] ³ O a) 7 /7/ Ob) 7/7/2 c) 7 10

A: Recall the formula:

Q: Let y = 7 4 and u = 2 -6 Write y as the sum of two orthogonal vectors, one in Span {u} and one…

A: Given that ;

Q: y=2x²-7x+5 a

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Q: Questions Exercise 06.27 Algo (Exponential Probability Distribution) 6. 7. 8. 9. 10. O ♥ Consider…

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Q: Give the center and radius of the circle graphed below. Write the standard form equation of the…

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Q: Solve equation by completing the square. List the solutions, separated by commas. 3r² +r-8=0 T =…

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Q: A = 8 9 -9 -1 7 -2 -7 4 -3

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Q: Find a vector equation for the line segment from (2, -2, 5) to (4, 4, 4). (Use the parameter t.)…

A: The formula for the vector equation of the line segment from the point

Q: You take a loan from your local bank. Determine the interest that is accrued on $7000 for five years…

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Q: ΔΔΔΔΔ Write each fraction in terms of the denominators. x²-q | X-L 3x-9 XX

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Q: Nobelium-259 is a radioactive substance that decays according to the following function, where  y0…

A: To find the half-life of Nobelium-259, we need to determine the time it takes for half of the…

Q: Consider P2 with the inner product given by evaluation at 1, 0, and 1. Compute the orthogonal…

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Q: 22. Your savings account earns an APR of 2.5% compounded quarterly. Find the APY.

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Q: Simplify the following expression (a) 2x-3(+1) (b) (x +2)(x-2)

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Q: Use the following graph of a certain function to answer the question. 3 2 5 s 1 2 نیا 200430 In…

A: The domain and range of the given curve is (-inf, inf).Function is increasing for those points where…

Q: ← Use scratch addition to perform the addition problems to the right a. The sum is (Simplify your…

A:

Q: What is the present value for the following $5 000 is needed in 3 years. The investment can provide…

A: To calculate the present value of the investment, we need to use the compound interest formula:PV =…

Q: $5000 is deposited in an account earning 7% interest compounded continuously. Use the continuous…

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Q: The set B = {2 + 3x², 10 + 4x + 15x², 26 + 8x +36x²} is a basis for P3. Find the coordinates of p(x)…

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Q: Evaluate 16-2 A) -24 B) 64 O c) 1 64 OD) 1 64

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Q: {x+y+z=0 {-x + 2y + 5z = 3 {3x - y = 6

A: Given system of Equations are as follows

Q: Let f : Z → Z be defined by f(x) = ⌊x⌋. Is f one-to-one? Is f onto? Explain why or why not in each…

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Q: This exercise refers to P2 with the inner product given by evaluation at -1, 0, and 1. Compute ||p||…

A: Given

Q: Kristel is buying chocolate chip cookies and snickerdoodles for a class reunion. Each package of…

A: Kristel is buying chocolate chip cookies and snickerdoodles for a class reunion. Each package of…

Q: Solve the system corresponding to each of the following augmented matrices (assume the variab :-).…

A: The given augmented matrices are

Q: If a ladder that is 6 feet long is laid against a wall and you measure the distance from the bottom…

A:

Q: Find the zeros and fully factor f(x) = x³ - 7x² +9x + 5, including factors for irrational zeros. Use…

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Q: If P(x) = 9+7x - 10x² represents the profit in selling a thousand Boombotix speakers, how many…

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Q: 18. The amount of sugar in a fermenting batch of beer is 5 grams. It decreases with time at a rate…

A: The amount of sugar in a fermenting batch of beer is 5 grams It decreases with time at a rate of 0.6…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola -8(x+3) = (y + 2)². Focus=…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Use the digits -9 to 9 (only once) to create a real solution between 30 and 80.  Show your work to…

A: Use the digits -9 to 9 (only once) to create a real solution between 30 and 80

Q: Atmospheric jet streams on Venus travel at 235 km/hr. How long (in days) does it take a jet stream…

A: To find: The total time taken to circle the planet once.