Algebra question and answers for October 16, 2023
- Q For the function given below, (a) use the product-to-sum formulas to express the product as a sum, and (b) use the method of adding y-coordinates to grach the function on(a)...
- Q Which of the following is an equation of a line that is parallel to3x+7y=10 ?
- Q Write an equation of the line parallel to 4x-7y=11 and contains the point (-28, 5).
- Q Solve the polynomial equation in the complex numbers.12x? +32x - x-7x-1=0
- Q Suppose that the characteristic polynomial of a matrix A is (?-8)^4 (?- 9). Then the determinant of A is nonzero.
- Q Given the function f(x) = 4x+20 / x-4x-12(A) Find the domain in interval notation.(B) For which value(s) of x does f(x) = 0?(C) For which value(s) of x does f(x)...
- Q Let f(x)= ?xWrite a formula for a function g whose graph is obtained from the graph of f(x) after the following sequence of transformations: (1) shift left 2 units; (2)...
- Q Which function is decreasing on the same interval as the function graphed here?A g(s) = 3x- 12x + 18B. k) = -2x - 8x +5C h(s) = 2x +8x +3D....
- Q For the following exercises, graph the function and its reflection about the y-axis on the same axes, and give the y-intercept.f(x) = (-2/3 ) (1.25)^3x
- Q Let F-(xy, yz, zx), and S be the part of the surface z = xy (1-x-y) lying above the triangle with vertices (0,0), (1.0), (0,1) on the xy-plane, with upward...
- Q Using laws of logs, the expression log? 6 + 3 log? 3 - 1/2log? 81 can be written as a single log in the form log? a. The value of...
- Q Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air he equation h(t) = -16t + 12t +10...
- Q The scores and their percent of the final grade for a statistics student are given. What is the student's weighted mean score? ...
- Q Divide.6+i/2-4iWrite your answer as a complex number in standard form.
- Q Let F?(t) denote the field of rational functions in t over F?.(a) Prove that F?(?t)/F?(t) is not Galois.(b) Prove that F4(?t)/F4(t) is Galois. ...
- Q Divide3i/-3-5iWrite your answer as a complex number in standard form.
- Q Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.(a) How many ways can this be done, if the order of...
- Q solve the point a and b, by the bisection methodx? +11x? +33x 11x +33x - 11x - 154x -120x?- 11x? +33x + 11x - 154x-120
- Q Verify that the set {(1,1,-2), (1,0, -1), (0,0,1)} is a basis for R Use Gram-Schmidt process to obtain an orthonormal basis. Write the vector (3,2,1) as a linear combination of...
- Q Find all complex solutions to the given equations;1) x^3 + 8i=02) x^2 + i=0
- Q The Nutty Professor sells cashews for $6.80 per pound and Brazil nuts for $4.90 per pound. How much of each type should be used to make a 31 pound mixture...
- Q Rationalizing Denominators of Radical Expressions1/?75z=?3z/15z
- Q Find the Fourier cosine series of the function f(x) = (M + 1)x + M, defined over the interval (0,7). Explain briefly the solution steps in your own words.
- Q Multiply (20-4 i)(5+ i)(20-4 i)(5+ i) = ?(Simplify your answer. Type your answer in the form a + bi.)
- Q Given: f(x) = 2x + 1 and g(x) = 3 - xFind (g o f)(x)
- Q At a particular high school, 27% of the students participate in student council and 56% of the students participate in sports. If 35% of the students participate in either student...
- Q A team of researchers is monitoring the population of crickets a particular town. They do not know exactly how many crickets are remain but the model they use represents the...
- Q Express in radical form, with no exponents. x^(-1/2)
- Q Simplify the following expression. ((2^1/2)-i)-((2^1/2)+i)
- Q Explain how to find the area of the given triangle using SAS.
- Q The volume of water is: v= 40000 (2+cos(8?/X)) where x ? 16. Determine the volume when the water is DECREASING at 8m/hour and the depth is 48m.
- Q Calculate ??(-3 + 3i). Give your answer in a + bi form. Round your coefficient to the nearest hundredth, if necessary .
- Q An imaginary number (unit) is a subset of the Real number system.TrueFalse
- Q Given the quadratic form{4(x1)} + {4(x2)} +{4(x3)} +{(2x1x2)} + {(2x1x2)} + {(2x2x3)}Give an orthogonal transformation of the quadratic form. (Each question Score 20, Total Score 20)
- Q Simplify the following expression. i/(a+bi)
- Q Simplify the following expression. 1/(a-bi)Write the final answer in standard form a + bi.
- Q Suppose cos A=-9/41 and A is an angle in Quadrant Three.Then cos 2A=____
- Q For the function f(x)=3log[2(x-1)]+4a) Describe the transformations of the function when compared to the function y = log xb) sketch the graph of the given function and y=logx on the...
- Q Divide (-9+i)/(3+7i)Give your answer in the form a + bi.
- Q Considere las dos rectasl? : ?20x + 5y = 25,l2 20x + 5y = C.Si se sabe que la distancia entre l? y l2 es igual a 4?425, entonces un...
- Q In 2 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the...
- Q Simplify:3i/(1 + 3i)A) 3i + 9/10B) 3i/4C) -1 -3i/5D) 3i/7
- Q 1)Lines PQ and RS are perpendicular. Find x.P(1, -2); Q(3, 4); R(x, 6); S(5, 5)X =_____2)Determine which, if any, of the three lines PQ, PR, and QR are perpendicular. P(6,-8);...
- Q Sketch each of the following angles in standard position on the x-y coordinate plane.Then draw a line (down or up) from the tip of the arrow to the x-axis. Then...
- Q Use a double integral to find the area of the region inside the circle x + (y-7) = 49 and outside the circle x + y = 49 in the...
- Q Given the identity[sin(2a)/1 + cos(2a)]=tan(a)/1prove the identity by following the implied steps and starting with the left side:sin(2a)/1 + cos(2a)1). Substitute double-angle formulas into the numerator and denominator:2). Simplify coefficients...
- Q Let A =be an n x n matrix , where a is a real constant . Find an invertible matrix P such that P^-1 A P is diagonal .
- Q x/25 + (y-2)/36 = 1For the following ellipses determine location of its foci.(a) foci at (0, 2 + v11), (0, 2 - v11)(b) foci at (0, 5 + v21), (0,...
- Q Suppose is an angle such that cos(?)=-1/3a)If 0 < 0 < ?,then cos(?/2)=____b)and sin(?/2)=____c)If ? <?< 2?then cos(?/2)=____and sin(?/2=____d)If 2? <?< 3?,then cos(?/2)=____and sin(?/2)=____
- Q Describe the transformations which have been applied to f(x)^2 to obtain g(x) = 2 - 2{(1/2)x + 3}^2
- Q Given the point P(1.0,-1) and the plane with equation5x+4y+z6 enter the coordinates of a point Q that lies on the plane, below,Q=( You have not attempted this yetWrite down a...
- Q Suppose is an angle such that cos(?)=-3/4a)If 0 <? < ?,then cos(?/2)=____and sin(?/2)=____b)If ? <?< 2?,then cos(?/2)=____and sin(?/2)=____c)If 2? < 0 < 3?,then cos(?/2)=____and sin(?/2)=____
- Q The area is bounded by y=e?, y=e, and y-axis. Find the centroid of the volume if the area is revolved about the x-axis.
- Q In triangle ABC, m<A = 28 degrees, m<C 132 degrees, and the length of AB = 6.a)Find the measures of the other sides and angles.b)length of AC=c)length of BC=
- Q Simplify ?-63 using the imaginary number i. (a.)3?-7 (b.) i?63 (c.)-3?7 (d.)3i?7
- Q Consider the following incomplete-information game. First, nature chooses between one of the following two A and B tables, each with probability 0.5:Then, players 1 and 2 simultaneously choose U or...
- Q An angle has a terminal side which contains the coordinates (-6, -2). What is the value of secant of this angle?In answering the question, please describe by typing in your...
- Q The height of the tip of an airplane propeller above the ground once the airplane reaches full speed can be modelled by a sine function. At full speed, the propeller...
- Q Prove that if u and v are linear independent, then u + 3v and 3u - v are independent as well.
- Q Determine if the following relations are functions. Then state the domain and range.
- Q Determine which of the following statements are true and which are false.There exist vectors V, W E R with ||v|| = 1, ||w|| = 1, andvxw = (1/3, 1/3, 1/3).Choose...
- Q A local club is arranging a charter flight to Hawaii. The cost of the trip is $593 each for 85 passengers, with a refund of $5 per passenger for each...
- Q Let Z5 = {0,1,2,3,4}.Find the value of x in each of the following equations in Z5.Show your complete solution. Provide a justification for your answers1. (3 x 5 x) +5...
- Q Let z? = 3-4i and z? = -1-1. Find Z?A. -3 + 4iB. 3+4iC. 5D.-3-4iGiven g(x) = (2)?+; find g(-1)A. 2B. 1C. -1/2D. 1/2
- Q True/False: It is possible for six king chickens to be tied with the highest score (highest score means most number of victories). If yes, then demonstrate. If no, explain why...
- Q Evaluate. (-125)^1/3Provide your answer below:
- Q A retailer buys 800 USB Flash Drives per year from a distributor. The retailer wants to determine how many drives to order, x, per shipment so that her inventory is...
- Q Find the solution of the exponential equation6e? =18in terms of logarithms, or correct to four decimal places.X=
- Q Find the exact value of each trigonometric function without a calculator. (Use the Unit Circle)22. tan(-45)23. tan 4?/324. sin(-2?/3)25. sin 210
- Q Given 7(dy)/(dx) - y +x=0 with the boundary conditions y(0) = 5 and y(21)=8.Solve the above boundary value problem with Central Divided Difference Method with ?x = 7
- Q Simplify 1 + cot(t)/1 + tan(t) to a single trig function.a) Use Reciprocal Identities to rewrite the expression to only have sine, cosine or tangent function.b) Times an appropriate trig...
- Q Simplify ?(250x?y). (Assume all variables are positive.)
- Q Find the z-score for which the area to the right is 0.05.Select one:A. 1.73B. 1.88C. 1.64D. 1.44
- Q Let M2x2 be the vector of all real 2 2 matrices and A =[-? 3]. B = [2 })linear than tor and define a L: M22 ? M22 by L(X)...
- Q Find the parametric equations of a circle with radius of 7.5 where you start at point (0,7.5) at t = 0 and you travel clockwise with a period of 9.Note:...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!