A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a side length (in meters) of the playground is x, as shown below. |(a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. a (4) = 0 (b) What side length x gives the maximum area that the playground can have? Side length x : meters (c) What is the maximum area that the playground can have? Maximum area:| square meters

Q: Find the absolute and relative errors in the following situation. Your true height is 63.0 inches (5...

A: Find your answer below 

Q: 9) Write a concise response to HOW you would solve the following problem. DO NOT solve the problem. ...

A: To solve the given problem We have to take x common out from the equation . And write the rest of th...

Q: What is the general equation of the conic section passing through the points  A(0,1), B(2,3), C(5,4)...

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 + dx+ey...

Q: (a) State the corner points of the feasible region satisfying the inequalities. (b) What is the mini...

A: Intersection points:2x-y=42x+3y=122x+3y-2x+y=84y=8y=2x=3(3, 2)2x-y=4  and x+y=23x=6x=2y=0(2, 0)2x+3y...

Q: Change 683.8% to a decimal number. The answer is N.

A:

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing thr...

A:

Q: The circumference of a circle is 25.12 centimeters. What is the circle's radius?

A: The circumference of a circle is 25.12 centimeters. What is the circle's radius?  

Q: Given the image of the quadratic function below, identify each of the following key features: 8 7 4 ...

A:

Q: Given the graph of the Logarithmic Function g(z) = log, : The graph of the functlon f(x) = 9+ log, (...

A:

Q: 8 of 15 A woman made $33,000 during the first year show owned her business and made an additional 9%...

A: topic - geometric progression

Q: The monthly demand function for a product sold by a monopoly isp1.912- dolars, and the verage cost i...

A:

Q: Determine the point th of the way from point A: (6, -1) to point B: (4, -5) shown on the coordinate ...

A:

Q: S. C. A. Puzzle Four Determine the answers to the following volume problems. Use the decipher code t...

A: topic - mensuration

Q: Given the data set, find the mode(s). Round to one decimal place and separate answers with a comma, ...

A: The data set is: 11, 4, 6, 4, 8, 4, 7, 9, 8, 7, 7, 8, 5, 4, 8 To find the modes.

Q: Three statements about f (x) = 2(x - 3)+5 are given. 1. The axis of symmetry is x = 3. 2. The vertex...

A:

Q: Find the value of x that intersect to the given equation. 2?1 + 5?2 = 16 3?1 + ?2 = 11

A: The given system is: 2x1+5x2=16...(1)3x1+x2=11...(2) They intersect at the point (x1,x2).

Q: 2x1 + 5x2 = 16 2х, + 3x1 + x2 = 11

A:

Q: Use the appropriate rounding rules to do the following calculations. Express the result with the com...

A:

Q: Using vocabulary such as vertical translation (up/down), horizontal translation (right/left), vertic...

A:

Q: Find the endpoint of the line segment with the endpoint (9, -10) and midpoint: (4, 8) O (-1, 26) O (...

A: For the following problem, midpoint formula will be applicable

Q: Evaluating and Solving Quadratic Functions A company's revenue earned from selling x items is given ...

A: Given problem:- A company's revenue earned from selling x items is given by R = 420x, and their cost...

Q: Problems 2-3, Sketch the graph of the following equations by finding at least three points that sati...

A: To sketch the graph of 3x+y=9

Q: he graph below belongs to a rational function f(x)=p(x)/q(x) with vertical and horizontal asymptotes...

A:

Q: What is the equation of the straight line whose nearest point to the origin is (-6, 4). O 2y+ 3x- 26...

A:

Q: Simplifying Rational Expression 4x2 +2x-6 1. 4x2 +12x+9

A:

Q: Which of the following powers is equivalent to 11) 2? O 112/3 O (112)3 O 113/2

A:

Q: Solve the equation AB = BC for A, assuming that A, B, and C are square matrices and B is invertible....

A: Given : AB=BC A, B, and C are square matrices and B is invertible. i.e. inverse of matrix B exists. ...

Q: Find the present and future value of an ordinary annuity for 50, 000 quarterly investment at a 3% ra...

A:

Q: given that log109=0.95 and log102= 0.30 to two decimals places evaluate the following log10900

A:

Q: 2. Given, f(x) = and g( x) = x-3 1 Find the followi %3D a) (gof )(x) b) Domain of (ao f)

A: Given query is to find indicated composite function.

Q: Katie solved the equation below by completing the square. - 6x = 8 Which of the following is the mos...

A: topic - completing square method

Q: Classify the following quadrilateral below.

A:

Q: A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 1 unit up...

A:

Q: A F Which of the following can best be described as a diameter in the circle? C. O FD O FC O EC AB

A:

Q: Convert the equivalent height of 15 cm of Hg to seawater. s.g of seawater = 1.03 Ans in cm

A: Given : Height of Hg = 15 cm        s.g. of seawater = 1.03 Solution : 15×13.6 = 1.03×H(height of se...

Q: How do i do this problem write a quadratic function f whose only zeros are -3 and -7

A: To find:  Quadratic function f whose only zeroes are -3 and -7   Let f(x) be the required quadratic ...

Q: A distance can be positive, negative, or zero. O True O False

A: ## we want to find that distance can be positive, negative or zero. This statement is either true or...

Q: What is the value of x in the equation, x? + 14 – x = –10x ? Ox = -7 and x = -2 O x = -7 and x = 2 %...

A:

Q: 2. Perform the following operations A. r(x-2)2 B. (3x4 + 5x2 – 12) - (2a3 + 2x2 - 12) C z-4x3+5z²-8z...

A:

Q: 5-V21 V3- V7

A: Given query is to rationalize the denominator.

Q: Consider the following system of equations. 2x  +  3y  =  10 3x  +  5y  =  16 (a) Write a matrix eq...

A: The given system of equation is: 2x+3y=10 3x+5y =16

Q: Suppose the average weight of a box of cereal is 28 ounces with a standard deviation of 2 ounces. As...

A: This is a problem related to probability distribution. Based on the general formula we will answer t...

Q: 5V3 + V12

A: We can simplify the answer as below.

Q: 4+V6 57. V2 + V3

A: Solving the problem by rationalize the denominator.

Q: Determine a series of transformations that would map Figure H onto Figure. 12 11 10 Figure H 5. 3 2....

A: We can find the series of transformations as below.

Q: Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row operati...

A:

Q: 16+16 8+24 The formula M = can be used to find the midpoint of which pair of coordinates. 2 2 O (16,...

A:

Q: What are the solutions to x² - 8x = 0? O x = 0 and x = -8 O x = 0 and a = 8 O x = 0 and x = = v8 O x...

A:

Q: graph

A: As per the guidelines we can solve 3 problems only. 

Q: Which of the folowing represents an orthographic projection of the side of the following fi

A: