Let B = {1, x, x², x³} be an ordered basis for P3. Find the coordinate vector of f(x)=-3x³- - 2x²+5x+7 relative to B. - fB =

Q: Week 5: Functions Vertical line test For each graph below, state whether it represents a function.…

A: Graph 1Answer: Yes Graph 2Answer: Yes Graph 3Answer: No Graph 4Answer: No Graph 5Answer: No Graph…

Q: Use the given graph to evaluate the following expressions. (a) (f+g)(-2) (b) (f-g)(-1) (c) (fg)(0)…

A:

Q: Good Day, Kindly assist with solving the  following function. I've been stuck on this one for a…

A: 1b= undefined or infinity 2check the domain and range  Explanation: 1 2The range is the set of all…

Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9770. What…

A: Variables in the question:Value of matured Treasury bill (A)=$10,000Time (t)=6 months=0.5 yearAmount…

Q: Use the difference of two squares to find the product of 22 and 18. Complete the steps. = 396 +…

A: (20 + 2)(20 - 2) (20)2 - (2)2 =396Explanation:

Q: Use undetermined coefficients to find the particular solution to y"+y-12y = −800 sin(4t) Y(t) =

A:

Q: Show the roots of x² - (a – 1)x – 2(a – 1)² = 0 are real. -

A: To show that the roots of  are real.

Q: Week 5: Functions Vertical line test For each graph below, state whether it represents a function.…

A: Graph 1 yesGraph 2 yesGraph 3 noGraph 4 noGraph 5 noGraph 6 yes Explanation:

Q: Let b₁ = [2] and b₂ B = - 3 A = The set B = T(b₁) = 4b₁ + 6b2 and T(b₂) = 2b₁ +8b2. - (a) The…

A: The solution to the given problem is attached below. For further doubts, please comment…

Q: (a) Find a subset of the set {(5,1, 2), (1, 3, 5), (7, 7, 12), (2, 1, 5)} that forms a basis, call…

A: The given set is {(5,1,2),(1,3,5),(7,7,12),(2,1,5)}. Set B= {(1,1,1),(1,2,4),(0,1,2)}

Q: 4. Rewrite n with a fractional exponent

A: Given,

Q: provide a graphical (one combined) solution for the system of linear inequalities below y + 3/7…

A:

Q: 1 16. Kevin is baking cookies. Each batch of cookies uses pound of butter. Kevin has pounds of…

A: Kevin is baking cookies. Each batch of cookies uses  pound of butter. Kevin has  pounds of butter.…

Q: f.) x (y + 2) = 2(2x + 1) 2(2x + 1) y = mx + b form: Graph th

A: Given: To find:To write the above equation in  form.To draw the graph of the equation.

Q: If Function A is a Cubic Function, with the points (3,26) (2,24) (4, 24.8) and (2.75, 25). Determine…

A: The objective of this question is to determine the cubic function A that passes through the points…

Q: find the domain,range, x-intercept, y-intercept, and asymptotes for the equation g(x)= 1/x+2 +5.

A:

Q: Month-end payments of $1,430 are made for 9 years to settle a loan of $138,640. What is the…

A: The amount of Month-end payments, PMT=$1430.Time (in years), t=9 years.The amount of Loan,…

Q: Given that A and B are n× n, invertible matrices, with n ≥ 2, and |A| |B| = b, find the following…

A: a)Answer is a2 b)Answer is b c)Answer is ba​d) Answer is 3n abExplanation:

Q: Given log_x =α, logx =ẞ, log¸x =y, log x = 0, and x + 1, find log abcd

A: answer is  αβγΘfor the following question explanation is given below.Explanation:

Q: The function g is defined as g(x) x + 31, 1² + 1, On the set of axes below, graph g(x). x<-2 -2≤x≤2

A: xy=|x+3|-5y=|-5+3|=2-4y=|-4+3|=1-3y=|-3+3|=0-2(hole point)y=|-2+3|=1

Q: Jessica scores 7 points for every 20 games of Crazy Nines she plays. At this rate, what would be her…

A: Jessica scores 7 points for every 20 games

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of…

A: To find the present value of $10,000 if interest is paid at a rate of 10% per year, compounded…

Q: Find the determinant of the matrix -3 5 6] M = 0 -1 8 0 0 3 det (M) =

A: Here we have to find the determinant of the given Matrix MThe solution is given below

Q: Answer this linear algebra question with all the steps.

A: We will proceed with the question in two directions.Explanation:

Q: 9 8 7 6- -9 -8 -7 -6 -5 ch 3 +2 1 14 -00 8 x g ( x ) = • (× + • ) (×-0)

A: The General form of a parabola is given by  where (h,k) is the vertex of the parabola.The vertex of…

Q: Write the algebraic definition for the piecewise function graph. 5 4 3

A:

Q: Q7. Please show work and solve, thanks.

A: Please refer below page.If you have any questions feel free to ask.Explanation:

Q: Part 1: Describe the transformations of t 2 1. f(x) = x + 5 a:

A:

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

A: To form a committee, total number of teachers = 9 and total number of students = 32The committee…

Q: is Priya Comparing two functions: f(x) = 10.x² and g(x)= 3·2* to find out which one has greater…

A: The given functions are  and

Q: Consider the vectors a = (3,0, -4), b = (4, 5, 3), c = (0, 1, 0) € R^3. Find the angle between b and…

A: Angle =4π​ Or45°Area = 5 square unitVolume = 7 cubic unit Explanation:

Q: O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Shaded region is in the graph Explanation:

Q: identify the vertex axis of symmetry and min/max value and domain and range y=1/3(x+2)^2-1

A: The given function is in the form of a quadratic function, y = a(x - h)^2 + k, where (h, k) is the…

Q: Find the determinant of the matrix 0 -3 0 0 -4 2 -3 -4 4 1 2 -4 0 -3 0 5 Determinant is

A: We have to find the determinat of

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A:

Q: By the Chinese Remainder Theorem, there is a ring isomorphism y: Z/10Z ~ Z/2Z × Z/5Z, (a) Write out…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Simplify the complex fraction. (2)3) 15+4 4r (5t)2

A:

Q: How many gallons each of 15% alcohol and 10​% alcohol should be mixed to obtain 5 gal of 14%…

A: The objective of this question is to find out the quantities of 15% alcohol and 10% alcohol…

Q: parents wish to have $150,000 available for a childs education. if the child is now 5 years old, how…

A:

Q: how did changing the equation from (picture 1) to (picture 2) affect the key features. please use at…

A:

Q: Find a particular solution to the differential equation -y"+y=-(2t2+2t+et). Yp=

A:

Q: Suppose a meat market mixes its own meatloaf by combining ground beef and ground pork. The goal is…

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: 1. Solve the following inequalities using an algebraic method, show all work. a) 2x³-7x²-17x+100

A: To solve the following inequalities by using an algebraic method.

Q: what is the value of the line of symmetry

A: H(m)= 28-3m2+bm

Q: The population of a town increased from 3550 in 2005 to 5350 in 2010. Find the absolute and relative…

A: In 2005, the population was 3550.In 2010, the population was 5350.So the absolute increase is

Q: For the investment situation below, identify the annual interest rate, the length of the investment…

A: Annual Interest rate: 3%Length of investment: 7 yearsPeriodic Interest rate: 0.25%Number of periods…

Q: f(x)=-3(x+3)(x-5) The axis of symmetry is the line x = The coordinates of the vertex are (0,0)

A: Given: To Find: To find the axis of symmetry.To find the coordinates of the vertex.

Q: 67 4. Solve for x to the nearest tenth. a) 4* = 3 5 b) log5

A: Given,

Q: 12. A biologist began an experiment with 30 bacteria cells. After 5 hours, there were 1100 cells.…

A:

Q: The amount of a medication remaining in patients' bloodstreams was monitored over the course of two…

A: The objective of the question is to interpret the percent rate of change in the context of the…