13. Graph the following system of inequalities (shade the appropriate region in the plane). List all vertices (corner points) of this region. 10 I+ 2y s 10 y z22 and a 20, y 2 0 3. 10 х (a) Maximize the objective function z = 2x +5y within this region. Мах - (b) Maximize the objective function z = 2r – 3y within this region. Мах - (c) Minimize the objective function z = 2x – 3y within this region.

Q: Use the graph of  f(x) = |x|  to write an equation for the function represented by each graph.

A: We have the absolute value graphs that are shifted.

Q: 1. Suppose that the supply and demand for sunglasses are p=0.8q+6 p=-1.2q+14 Where p is the price in...

A: Given, supply function, p = 0.8q +6 price of sunglasses = $7 each To find supply,  0.8q +6 = 7 =>...

Q: could you help please help with these questions. Thank you

A:

Q: An evil supervillian has launched a missle from his/her flying carrier. The missle's height, in mete...

A: To find the maximum height.

Q: Solve 8 sin(20) + 10 sin(ø) = 0 for all solutions 0 < ø < 2T. Preview Give your answers accurate to ...

A:

Q: Mary is going up a hill at 1.2m/sec. It takes her 4813 minutes to reach the top. Once she gets to th...

A: It takes Mary 4813 minutes to reach the top at a speed 1.2m/sec =1.2*60 m/min distance = speed * tim...

Q: The total revenue curve of a firm is R(q) = 40q – 12q² and its average cost A(q) =9? – 12.85q + 20 +...

A:

Q: (b) Using algebra, find the solution to the system of inequalities below y x2 – 8x 2/3

A:

Q: A population numbers 16,000 organisms initially and decreases by 2.4% each year.Suppose PP represent...

A:

Q: The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 32 feet and a...

A: The pitch of a roof is the ratio of the rise to the half-span. The roof has a rise of 32 feet and a ...

Q: 8a+72-120=24

A:

Q: What is the future Value if 8000 is invested for 10 years at 8% compounded semiannually

A:

Q: A certain physical phenomenon can be modeled by the function f(t) = 357(.91)', where t represents nu...

A: To find the half-life of the below function

Q: What multiplication fact is illustrated by the arrows on the number line? 01 2 3 456789 10 11 12 13 ...

A:

Q: Find the perimeter of the rectangle. 5x + 3x+7 x+7 The perimeter is (Simplify your answer.)

A:

Q: help with question 16 I dont understand

A:

Q: Is the argument valid, sound or invalid? Premise:  All men are mortal Premise:  Socrates is a man. C...

A:

Q: Determme if the folluwing matrix is in reduced form If not inlicate tho row opuration(s) necessary t...

A: Consider the matrix

Q: 3(k-9) +13 = 97 After simplifying, the solutions to this equation look like k= A± BVC where www Chza

A: To find the solution of the given equation.  

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} &amp; C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)...

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} &amp; C = {4, 5, 6, 7}.

Q: Graph the inequality, The intersection of - x + 3y &lt; -6 and x &gt; or = -4

A: Auxiliary equation is: then we make a table for it x 0 3 y -2 -1  

Q: For each of the following equations, please choose which property of operations is used in the equat...

A: To choose the property of operation which is used in the given equation.  

Q: A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has deca...

A:

Q: Question 4(a) Find the following:i. Lim?→?x?/? + 9x?/?6x?/? − 4x?/? ii. Lim?→??(2x − 1)?/? − 3x − 5

A:

Q: Using Algebra, find the solutiob to the system of inequalities below y ≤ 5 - 3x y + 19 ≥ x2 - 8x

A:

Q: The parent function of an absolute value equation is transformed as described. Write the new equatio...

A:

Q: Solve the system by graphing

A: Given,  

Q: Find the sum of the following arithmetic series and write in summation notation.

A: Given Arithmetic series is, : 4, 11,....... For  Arithmetic series the sum to n terms is given as:

Q: 250 E(1000 – n)

A: The given sigma notation is,

Q: т Solve 7 sin 2 for the four smallest positive solutions. Preview Give your answers accurate to at l...

A:

Q: A survey is given to 95 members at the local gym and found that 56 members are taking Rock Climbing ...

A: R = Rock Climbing Y = Yoga

Q: Complete the chart below, plot the points and draw a rough graph of y=x2-3

A: Given function is 

Q: Solve the system of equations.   x+3y=7 2x+6y=11

A:

Q: Read Only - YOU Cant Save changes to this liie. Page 2 Question 2 (a) For matrix A = \2 3 C ), if g(...

A:

Q: Write the solution of the linear system corresponding to the reduced augmented matnx.

A: Since the last row is 0, so, this system will have many solutions. Let, x3=t  From the second row we...

Q: construct a verticle file by bending the long side of an 8in by 12in plastic sheet along two lines t...

A:

Q: A linear function f(7) = -17. The slope of f is -3, what is f(2) ?

A:

Q: What are m and b in the linear equation, using the common meanings of m and b?   1 + 4x + 6 - x = y

A:

Q: Find the sum of the following series. (hint: use the formula for arithmetic sequences first to find ...

A:

Q: A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutt...

A:

Q: Find the value of an investment of $8,300 after 14 years with 3.2% interest compounded monthly.

A:

Q: The land area of a certain state is about 268,725 square miles. If in mid-2016 all of the world's pe...

A:

Q: Question 4 (a) Find the following: x/3 + 9x/5 i. Lim- x-0 6x1/2 – 4x1/4 (2х — 1)1/2 — 3 ii. Lim X-5+...

A:

Q: (b) The total revenue curve of a firm is R(q) = 40q – 12q? and its %3D 400 average cost A(q) 309 – 1...

A:

Q: Factor  A) x2+6x+8   B) x2+10x-24

A:

Q: Is this argument valid, invalid or sound? Premise:  All men are mortal. Premise:  Socrates was morta...

A:

Q: Find the slope and y-intercept of the line with equation 3x − 4y = 28. slope y-intercept (x, y) =

A: Express it in  the standard form: y = mx + c m is the slope and c is the y intercept

Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x)) =...

Q: For matrix A =                         4 1                        2 3 if g(X) = X2 + 4x + 2, what is...

A:

Q: Question 4 (a) Find the following: x1/3 + 9x+/5 (2х — 1)1/2 — 3 i. Lim x-0 6x1/2 – 4x1/4 ii. Lim X→5...

A: Part(a) To find the limit at x = 0: