. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to be a maximum, what are the numbers?

Q: A unit of house A requires 160 man hours and a unit of house J requires 256 man hours. Write an…

A: Given  A unit of house A requires 160 man hours and a unit of house J requires 256 man hours.

Q: The value of x for Inequality |2x – 5| < 9 is

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Q: Among all pairs of numbers (x,y)such that 4x+2y=24find the pair for which the sum of squares, x2 +…

A: Given equation,4x+2y=24we have to find values of x and y such that (x2+y2) is minimum

Q: Find the graphical solution of the inequality.6x + 4y ≤ −6

A: Identify the region (the set of all (x,y) ) satisfying the given inequality by graphical means

Q: If ab, d>c, and c<e<d, order the letters from the least to the greatest. Complete the inequalities…

A: given a&lt;b, c&gt;b, d&gt;c and c&lt;e&lt;d Now c&gt;b ⇒ b&lt;c d&gt;c ⇒ c&lt;d hence,…

Q: Discuss the possibilities for the number of times the graphs of two different quadratic functions…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If ab, d>cC, and c<e<d, order the letters from the least to the greatest. Complete the inequalities…

A: Using inequalities.

Q: If the sum of two numbers is 4, find the minimum value of the sum of their cubes. A) 16 В 15 c) 14 D…

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Q: The sum of three nonnegative numbers is 36, and one of the numbers is twice one of the other…

A: We can solve the given problem using the concept of application of derivative.

Q: indicate the solution set for each system of inequalities by shading the appropriate region. 2x + 5y…

A: Given that the inequalities  2x + 5y &gt; 105x + 2y &gt; 10 To find the solution set  for system of…

Q: the sum of a number and 3 times another number is 12. their product is a maximum. find the numbers…

A: The above question is answerd below

Q: Solve the following system of inequalities graphicallyx + 2y ≤ 8 ... (1)2x + y ≤ 8 ... (2)x &gt; 0…

A: For the auxiliary equations we make tables  x+2y=8  x 0 8 y 4 0   2x+y=8  x 0 4 y 8 0…

Q: Given the problem below, we can conclude that the maximum value of z is 36000 and this occurs when…

A: Let, x represent the number of bottles of water y represent the number of medical kits Our objective…

Q: Graph the solution to the following inequality on the number line. x+4x z 12 Note that you can use…

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Q: Graph the following system of inequalities. Find all corner points of the solution set. 3x + 2y 2 6…

A: See the details solution below

Q: A unit of house A requires 160 man hours and a unit of house J requires 256 man hours. Write an…

A: To find the inequality :

Q: 12:36 4) [20] The product of two positive numbers is 48. Find the two numbers if the sum of one…

A: Consider the two numbers such that their product is 48. Given that  the sum of one number and cube…

Q: determine how many ordered pairs of real numbers are in the solution set for each of the systems. y…

A: y=x3 and y=(x-1)3-1

Q: Your friend looks at the inequality (1 + 1/x) &gt; 2 and, without any computation, states that the…

A: Given: The inequality (1 + 1/x) &gt; 2 , the solution set of all real number between 0and 1.

Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

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Q: Graph the solution set. If there is no solution, indicate that the solution set is the empty set.…

A: Our Aim is to graph the solution set of the equations given below:--3x+y≤-1-x-2y≥-5

Q: If the sum of two numbers is 4, find the minimum value of the sum of their cubes. A None of the…

A: The sum of the two numbers is 4 To evaluate: The minimum value of the sum of their cubes.

Q: Graph the following system of linear inequalities. 1. x 2 3 4x + 5y < 20

A: WE have, x≥3 Therefore, every value of x=3 or x&gt;3 , the value of 'y' will always be zero.…

Q: Given the problem below, we can conclude that the maximum value of z is 36000 and this occurs when…

A: Bottled water and medical supplies are to be shipped to survivors of on earthquake by plane. Each…

Q: Find the maximum value of 7 x – y given the following inequalities in the first quadrant 5 x + 2 y <…

A: solve graphically . Plot the first inequality 5x+2y≤4  by changing it into equality . Then mark the…

Q: Given the set {x| - 2 <xS2, where x is an integer}, what is the solution of -2(x - 5)< 10? (1) 0, 1,…

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Q: determine how many ordered pairs of real numbers are in the solution set for each of the systems. y…

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Q: Which of the below points is in the solution region to the following system of inequalities? 2x-y<1…

A: 2x-y&lt;1  x+2y&lt;-4  Find the point in the solution region of the inequality

Q: Find two numbers whose sum is a. if the product of the square of one by the cube of the other is to…

A: Given,  The two numbers whose sum is a  The product of the square of one by the cube of the other is…

Q: Find a number within the interval [-5,5] such that the sum of the number and the square of one less…

A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: Select all of the points that are a solution to the system of inequalities S 6x -15

A: Given inequalities are- 6x≤3y-2410x+5y&gt;-15 For a solution of the above inequalities, a solution…

Q: Given inequality is to be solved: 4(x+1)+2 &gt; 3x+6

A: Consider the given inequality.

Q: Which of the below points is in the solution region to the following system of inequalities? 3x + ys…

A: Given the system of inequalities is 3x+y≤1x-y≤3. A point x,y is in the solution region of the system…

Q: How many corner points are there for the following system of linear inequalities? x+y56 y25 x20 y 20…

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Q: Graph the solution set. If there is no solution, indicate that the solution set is the empty set.…

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Q: Graph the solution set. If there is n 2x+5y 2 5 - 3x+4y <4

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Q: What values of a and b maximize the value of ["(x – x²)

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Q: A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.…

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Q: If the sum of two numbers is C, find the minimum value of the sum of their squares. A) c2/6 c2/ 4…

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Q: Graph the sSolution set of the inequality given. 3x+y<1

A: See attached file for a step by step explanation to draw the graph.

Q: Graph the solution set of each of the following system of inequalities, and indicate the coordinates…

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Q: Which of the following equivalent forms of the equation y -4x-12x-7 can best be used to find the…

A: Consider the given equation.

Q: he solution of the inequality 4x + 4(x + 10) > 2x – 14 is

A: We have to solve the inquality

Q: If 21 and 2 form a linear pair and mZ1 is 18 degrees less than fives times the measure of 22, find…

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Q: Find two numbers whose sum is 20 and whose product is a maximum A 15 and 5 B) 18 and 2 C) 10 and 10…

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Q: Devide 30 into two parts. Find the numbers if:a.their product is a maximum, b.the sum of one and the…

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