A graph of y = x* + x - 7x - x+ 6 is shown. Use the graph to solve x* + x³ – 7x – x+ 6 2 0- YA 12 -4 -2 0 4 x -6 -12 y=x+ x -7x- x + 6 a) -3

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Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

Q: Find all points with integer coordinates located at a distance of 3 from the point (4,5).

A: Using co-ordinate geometry and pythagoras theorem,we can identify all required integral points.

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Q: 5. Where does y = 2Vx-3 intersect with y =Vx-1? Support your answer with algebra. %3D %3D graph is…

A: The given equations of the curves are: y=2x-3 and y=12x-1 To find their intersection point, equate…

Q: 2. What is the minimum product of two numbers that differ by 15? What are the two numbers?

A: Let one number be x and another number be x+15 So their product=x(x+15)=x2 + 15x =f(x) (say)

Q: The Bisection method of finding roots of nonlinear equations falls under the category of . methods.…

A: The solution is (d)

Q: -1, if { x 21} 3, if { x< 1} 8)Graph fx) = To graph 1) Start at y-int ( 1" point) 2) Apply slope (…

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Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: 12. Of all numbers whose sum is 70, find the two that have the maximum product.

A: let x and y be two numbers whose sum is 70   we have to maximize  M=xy where x+y=70

Q: 1. Solve using the simplex method: Min z =- 4x1 + 6x2 – 2x3 + 4x4 X1 + 2x2 + 2X3 +4x4 < 40 2x1 – x2…

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Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t =10 - x, + x, -2x, +x, - x, <-10 Can an…

A: So we have a linear programming problem with 3 variable x1,x2,x3 with two constraints.  First we…

Q: What is the image of (8, –7) after a reflection over the line y = -x? |

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest possible.

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

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A: The given problem is to find the equation of line passing through the given points. Given points…

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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Q: min X2 subject to X2 = 1 X1, X2 > 0

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A: y = 0.013x2 - 1.19x + 28.24 We have to solve for the value of x when y = 10 Or, we have to…

Q: What is the image of (8, –7) after a reflection over the line y = -x?

A: When we reflect a point from from the line y= -x  There is a sign change in both coordinate occurs.

Q: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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Q: The sum of two nonnegative numbers is 700. What is the maximum value of the product of these two…

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Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

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Q: A line pases through the point (-2,1) and is paralle to the line 2x+y=1

A: Solve using the concept of parallel lines

Q: GIVEN: [X1] X2 0 1 - -2 -3 2 X3 -3 3 2 X4. Determine the least-norm solution. Please show a complete…

A: Consider the given information. 201-1-2-320-3302x1x2x3x4=-102 The given form is Ax=b. Where,…

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Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

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Q: 3. yA -12- -10- 8- 6- 4- 2- -2 -2- -4- -6- -8- -10- On the grid, label the region that satisfies all…

A: We need to plot region of given inequalities.

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

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Q: Find the rectangle whose vertices with one is on side X-axis. on

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Q: Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would…

A: Given Theorem 1-1 states that two lines intersect in exactly one point.

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: У'-у%35х, у(0) -0, у'(0)-1. – y

A: NOTE: Refresh your page if you can't see any equations. . find roots for the homogeneous system…

Q: What is the image of (8, – 7) after a reflection over the line y = -x?

A: See 2nd step

Q: A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed,…

A: Given that a critical communications relay has a constant failure rate of 0.1 per day. Once it has…

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: Solve & Graph Resolver y graficar Answer 1. -351 012345 6 7 Answer 2. x+4>11 サ村 十十 -7-5-3-1 1 35 7…

A: As per our company guidelines we are supposed to answer only first 3 sub parts kindly post other…

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the…

A: A river flows between the line x=3 and x=4. Bridge constructed to the path from O(0,0) to P(5,4).

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.