9. Compute the following quantities: a. Given that z = 4 - 2i, calculate |z²+z-1. b. (7-1)(2-31) c. (1+i+1²+13)100

Q: Find f + g, f − g, fg, and f/g and their domains. f(x) =    49 − x2,    g(x) =    x2 − 4  a.Find (f…

A: We are asked to multiple number of question and answered according to the guideline

Q: Which of the following has restrictions x= -1,2? O O (x + 2)(x + 1) (x + 2)(x-1) X-2 x+1 X+2 x-1 (x…

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Q: Simplify the expression. 9 1 - √ 19

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Q: X 2 + 3x - 5 = 0 2 3X 6x - 30 Solve the quadratic by formula. You must show

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Q: echelon form, without introducing any fractions. 3x - y - 3z = 2 4x - 7y + 2z = -21 x - 2y + z = -7

A: The given equations are;  3x-y-3z=2 4x-7y+2z=-21 x-2y+z=-7.

Q: Let (M) be the system given by the following matrix form. 30-0 Then (M) can be represented by: [1.1…

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Q: The curve C is given parametrically by a = 1+ lnt, y=t² +2. Find the value of t where the the slope…

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Q: Solve the system of equations. Write the solution in correct (x, y, z) form. 10) 7x - y + 6z = 44 -…

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Q: 10 + 10 =

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Q: QUESTION 2. Use the trapezoidal rule with n = 10 to approximate. = the error. da and estimate

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Q: 13. Use the exponential form of a complex number to write a + ib. ++) in the form

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Q: 2. Suppose you own a toy company... The packaging for boxed toy airplanes involves 2.2 square feet…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write each of the following in simplest form using positive exponents in the final answer 5 c. (a-3)…

A: To write each of the following in simplest form using positive exponents in the final answer.

Q: If T and S are linear transformations such that T: V -> W and S: U -> V, if TS is bijective does…

A: Solution is given below:

Q: A bank features a savings account that has an annual percentage rate of r = 3% with interest…

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Q: on Describe the hans formation that occur. Y = √₂ for each of the following. = √₂+3, y = √₂-Y,…

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Q: 3. Cindy has 84 bills consisting of P 10 and P 50. If the total amount of her money is P 3280, how…

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Q: 2. Solve the following system using a matrix and converting the matrix to reduced row echelon form,…

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Q: 1. A chartered cruise line offers a group rate of $400 per person if 100 people sign up. For each…

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Q: 2) Izach graduated from college as a carpenter. He was offered two possible compensation packages.…

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Q: (5x+3y = 1 (5x- y = 13

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Q: 2x-5y +3z = 5 3x-2y-z 2 = −9 4x + 3y + 2z = -11 =

A: The given equations are;  2x-5y+3z=5 3x-2y-z=-9 4x+3y+2z=-11.

Q: 7. Alex and Ben left Point A and cycled in opposite directions in a straight line. After 6 hours,…

A: Alex and Ben left Point A and cycled in opposite directions in a straight line. After 6 hours, they…

Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 2 polynomial with…

A: We can answer the question as below.

Q: Simplify. 1 t² + 5t +4 a. b. + 5t 3t + 3 5t + 1 (t+1)(t+7) 5t² + 20t + 1 3(t + 4)(t + 1) C. d. 5t² +…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and…

A: This question can be solved using the concept of polynomials.

Q: I sin³x 5 sin x 4 cos x dx

A: To find out the integration.

Q: Find the monthly house payment necessary to amortize the following loan. In order to purchase a…

A: Given: Loan amount =$70,000 Rate of interest =12%=12100=0.12 time =15 years

Q: Find all solutions, real and complex, of the equation. x 3 = 125 ​ x = 5 ​x = 5, x = ​,  x =  x =…

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Q: 16. Simplify √ 18a². √3a²b. Oa²√54b √6a²b √6a¹b 3a²√6b 17. Which expression represents 625p¹ - 16…

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Q: Which expression represents the difference of (8x³ +6x² + 5) and (5x³ - x²-3x + 1)? 3x³ + 5x² + 3x…

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Q: Find the remainder when (10273 +55)37 is divided by 111.

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Q: Let f, g, and h be the functions defined below: g(x) = log5 5 ( ₁² = 4) X f(x) = 5x 1) Find h-¹(x)…

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Q: $8000 are invested in a bank account at an interest rate of 10 percent per year. Find the amount in…

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Q: 8. At how many minutes after 3 PM will the minute hand of a clock overtakes the hour hand? Enter…

A: To find out the time in minutes in which the minute hand overtakes the hour hand.

Q: QUESTION 1. Solve each of the following ODEs. If initial conditions are given, give the unique…

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Q: If you got your 60% discount and opened the card for an additional 20%, what is the actual %…

A: This question can be solved using the concept of percentages and discounts.

Q: • Plot each angle on the unit circle below. You will need to draw additional radius segments O 0,…

A: This is a problem related to trigonometry. Based on the general formula and concept we will answer…

Q: 12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0?…

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Q: Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros…

A: This is a problem related to roots calculation. Please follow the procedure given below.

Q: Question 3. Consider the following equation. 2x-3yz = 6; solve for y What is the coefficient?

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Q: Sketch the graph of the ellipse and write the foci in correct (x, y) form. Show all work. (-8.2. 4…

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Q: Question Does the ordered pair (4, 2) satisfy the following system of equations? -x + 2y -3x - y = 4…

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Q: Write the expression in the form y = 16 NOTE: Enter the exact answers. y = kx² k = p= = kr. Give the…

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Q: dumb question but how is this read, what does it mean?  0≤m≤n

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Q: Problem 1.11 Solve the following rational inequality and express the solution set in interval…

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Q: 2. Suppose that the expression x² +7x+12 (x+2)² represents the area of a rectangle. Find the…

A: The answer is in step 2. Every clue is given in the question.

Q: What quantity of a 70% acid solution must be mixed with a 40% solution to produce 150 mL of a 60%…

A: Given.

Q: Show that the vectors u =, v= and w= form a basis for R3

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Q: An object is thrown upward at a speed of 63 feet per second by a machine from a height of 14 feet…

A: