Identify the vertex and the axis of symmetry for the function: f(x) = (x - 0.5)²

Q: A runner finished 49th in a marathon of 76 runners. What was his percentile?

A:

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 32…

A: let   M=5720307082+324182

Q: Four boys, Sam, Cody, Tom and David saved some money. Cody's savings was of the total savings of…

A:

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A:

Q: Use Theorem I to compute the shaded area shown to the right 0 The shaded region has an area of (Type…

A: The shaded region is bounded by curve y=1/x , y=0 (x-axis) and the vertical lines are x=2 and x=6…

Q: Use the fact that 0.1= 0.01- 8.0.2 b. 0.86 c. 0.780 99 and 0.0001- to convert each of the following…

A:

Q: √37 0.13 1 9 √37 Both and Which of the following is an irrational number √37 Both 0.13 and O

A:

Q: Question 1: Given that -1 u= Find : 1. Angle between u and v. 2. Projection of v onto u. 4 and v 9

A: Given: u=44-1 and v=1-1-1 We are required to find: a. Angle between u and vb. Projection of v onto u

Q: Mary is going to rent a truck for one day. There are two companies she can choose from, and they…

A:

Q: Select the key features that are true for the given graph. A) The graph has an x intercept at (1, 0)…

A: The given graph is:

Q: Evaluate. Σ1.5(-2) k-1 8 k = 1

A:

Q: For a ride on a rental scooter, Greg paid a $2 fee to start the scooter plus 12 cents per minute of…

A:

Q: 17. Solve the rational inequalities (x+3)² (x−1)²(x+1) >0

A:

Q: A triangle has two sides of length 8 and 2. What is the smallest possible whole-number length for…

A: Law of triangle inequality states that sum of any two sides of the triangle must be greater then or…

Q: Use a system of equations to solve the problem. Rollowheel, Inc., can manufacture a pair of in-line…

A:

Q: The Boolean function F(x, y) = x'y + xy' + (x+y')x can be simplified to:

A:

Q: 2. DETAILS Need Help? Write the exponential equation in logarithmic form. For example, the…

A:

Q: A surveying team set up some equipment 142 ft from the base of a tree in order to sight the top of…

A: Let height of tree = h ft

Q: What are the two inverse properties of logarithms? Write one example for each rule that illustrates…

A: Logarithmic functions and exponential functions are inverse properties in logarithms. Property 1:…

Q: Fill in the missing values below one at a time to find the quotient when 4x3+5x-21 is divided by…

A:

Q: 53 700(0.8) (calc use) a) Find the value after 2 years and 5 years. b) Find the average rate of…

A:

Q: When the Laplace transform is applied to the problem y" +2y'+y=e³, y(0) = 1, y'(0)=2 the resulting…

A: y'' + 2y' + y = e^3t , y(0) = 1, y''(0) = 2 This question is based on Laplace transform of…

Q: f(x) = x² + 8x + 16, g(x) = x +4

A: fx=x2+8x+16gx=x+4

Q: 1 Suppose that $77,000 is invested at 5% interest, compounded quarterly. a) Find the function for…

A:

Q: + 2. Determine the domain and range of each graph. Write the answer in interval notation. 5 5 a) b)…

A:

Q: Form R Number: 10. Find the x- intercepts of the polynomial function. State whether the graph…

A:

Q: 1. Solve the following IVP: 2y"+ty2y = 10 y (0) = y'(0) = 0

A:

Q: A population numbering 554 in 2018 grew at an annual exponential growth rate of 13%. Use the model…

A: A population numbering 554 in 2018 grew at an annual exponential growth rate  of 13%. By using the…

Q: Question 4 Prove that the given transformation is a linear transformation : X T = x + 2y 3x - 4y -Y

A:

Q: The midpoint of AB is M (3,-2). If the coordinates of A are (8,4), what are the coordinates of B?

A: Given: The midpoint of AB is M(3,-2).Coordinates of A are (8,4). We are required to find:…

Q: Which equation represents a line which is perpendicular to the x-axis?

A: We have the equation of lines .

Q: Jamie needs a new roof on her house. The cash cost is $3500. She decides to finance the project by…

A: Jamie needs a new roof on her house. The cash cost is $3500. She decides             to…

Q: Determine the inverse Laplace transform of the function below. se -2s S + 6s+34 Click here to view…

A:

Q: Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x3y = 15

A:

Q: 12 3. Consider the conic= 6+4cos0 Find the center and directrix. c) Graph the conic. -6 -4 -2 a)…

A: We have to find the centre directrix aphelion perehilion and graph the conic.

Q: 18. A = 19. A: = 0 1 0 0 0010 1000 0001 0002 0031 0212 3 4 14

A:

Q: Sn=3045, r=2/5, an=120

A:

Q: A shipping container will be used to transport several 80-kilogram crates across the country by…

A: Given: A shipping container will be used to transport several 80 kg crates across the country by…

Q: Rationalize the denominator. Write your answer in exact simplified form. 7-√√P √p-5 = p+2√p + 35 p-5…

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 30° 10 X 60°

A:

Q: A population numbering 547 in 2018 grew at an annual exponential growth rate of 13%. Use the model…

A: Given that population was 547 in 2018 and rate of growth is 13% per year.Model of population…

Q: A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and…

A: A group of friends wants to go to the amusement park. They have  $311.50 to spend on parking and…

Q: Using the factor theorem, is (x+1) (A)No, R = 120 a factor of x¹ +6x² + 9x? (B) No, R = -2 (C) Yes,…

A: If P(a)=0 then (x -a) is a factor of the polynomial P(x) .

Q: Solve the equation. Express your answer in exact simplest form. √√/2x-1-2=1 The solution set is X…

A: Given equation is,

Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: Estimate the area of the region bounded by the graph of f(x)=x² +7 and the x-axis on [0,2] in the…

A: fx=x2+7, 0,2 n=4 ∆x=2-04∆x=0.5  The number of subintervals are: 0,0.5, 0.5,1, 1,1.5, 1.5,2 Midpoints…

Q: Solve the following equation for A. Be sure to take into account whether a letter is capitalized or…

A: we have given equation DA-2qA=B3

Q: A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the…

A:

Q: The sum of two numbers is 59. The smaller is 21 less than the larger number. What are the num

A: sum of two numbers is =59 The smaller number is 21 less than the larger number

Q: But how did jess get 94?

A: Pete is jumping rope. He does 38 50 22 and 29 jumps. How many jumps does he do in all?  Jess…