Determine the equation of the line passing through the points (2, -4) and (12, 2). Express final answer in standard form (i.e., Ax + By = C, where A, B and C are integers, A > 0). where A = B= C =

Q: find the minimum value of z = 4x + 5y, subject to the following constraints: 2x+y≤6; x≥0; y ≥0;…

A: NOTE: Refresh your page if you can't see any equations. . the given system is  subject to

Q: 36. Let B= 1 √2 1 √2 √2 1 √2 justification, B2015 . Find, with

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Q: x² + y² and Consider the solid shaped like an ice cream cone that is bounded by the functions z =…

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Q: Exercise 8.1.2 In each case, write x as the sum of a vector in U and a vector in U+. d. x=(2, 0, 1,…

A: We have to write x as the sum of a vector in U and a vector in U⊥Now find the orthogonal basis of…

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Q: Given the graph of an exponential function, identify the end behavior. L -10 -8 -6 -4 10 8 16 -2 ML…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

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Q: 6. Define the given sequences. a) an=4-(-1)" b) ann cos ( c) an 11 d) an = 2n n²+1 12

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Q: Match the horizontal asymptote with its corresponding function. f(x) = f(x) = f(x) = 5x+2 3x²+1…

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Q: A person deposits 651 dollars into a savings account with an annual interest rate of 3 compounded…

A: For quarterly compounding:   The annual interest rate is 3%, which means the quarterly interest rate…

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Q: Use the following vectors to answer parts (a) and (b) V₁= (a) (D) V/₂= For what values of his v, in…

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Q: COPY - Which function has the greatest slope? 900- g(x) O f(x) O h(x) f(x) = x h(x)=x-2 *(x)=x-…

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

Q: 1. Which values belong to the range in the function below? Check all that apply. -7 -6 -4 -1 0 2 3 5

A: From the given graph, we have to find the points in the range of the function.

Q: 9) 11) 56 45° 6 x=5 45° 60° 60° X r-32 10) ܐ ܀ 12) S 60° 10 45° 45° 7 60° x: 20 €

A: Here I mark sides of figure with sum Alphabets

Q: The half life of substance A is 1.8 years, and substance B decays at a rate of 30% each decade. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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Q: In our banquet hall, each room can handle rows of 5 tables each. In the big room, we can fit 9 rows.…

A: each room can handle rows of 5 tables each   In a big room we can fit 9 rows Total table in big room…

Q: Question 6 Multiple choice (one answer) Find the solution of: xdy + ydx + xy(3dx+dy) = 0 oxyc=-y-3x…

A: xdy+ydx + xy(3dx+dy) = 0

Q: Given that the polynomial function has the given zero, find the other zeros. f(x)=x³-7x² +32x-60; 3

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Q: $15,000 down payment when she buys a new car in 5 years. How much money must she deposit at the end…

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Q: What is the largest possible area for a rectangle with a perimeter of 80 cm?

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Q: For each graph, select all symmetries that apply. 4 Graph 1 13 Symmetry: Ox-axis Oy-axis Corigin…

A: Symmetry About x-axis: For all points on the graph (x,y) there are also the points (x,-y) on the…

Q: The shape of a wine barrel shown below can be obtained by rotating the shaded region bounded by a…

A: The solution is shown in step-2

Q: Graph the line with slope .-10 -8. 10 .co I Î I + 보 passing through the point (-5, 2). CA 8 9 X 5

A: Slope (m) = 1/3 Passing through the point (-5,2).

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

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Q: For what value(s) of x is the expression 2x -x-10 3 6x - 13x 2 -undefined? - 5x

A: Consider the expression. 2x2-x-106x3-13x2-5x

Q: The revenue from sales of x units of a product is given by R(x)=175x-0.01x², and the cost of…

A: Rx=175x-0.01x2Cx=33x+0.01x2+14000 Producing and selling how many units will results in profit.

Q: (d) At what time will there be 16 grams of substance Br years (e) of which substance is there less…

A: B(t) = 16

Q: farmer with 750ft of fencing wants to enclose a rectangular area and then divide it into four pens…

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Q: Let T: P₁ → R² be the isomorphism given by T(a₁ + a₂) {[ Using the basis {-3x – 6, 2x} for P₁ and…

A: Here the given data is

Q: Discretize the differential equation / +3y=-2t, y(1)-0 over the interval [1,4] with step-size h = 31…

A: .

Q: Evaluate (6 – 5)^2 by working within the parentheses first. Evaluate 6^2 – 5^2. Compare the answer…

A: Evaluate (6 – 5)^2 Evaluate 6^2 – 5^2.

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Q: The graph of a rational function fis shown below. Assume that all asymptotes and intercepts are…

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Q: Solve for z, and give your answer in the form a+bi. 2z+z = 1+i-16+6i z = 0

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Q: Given a polynomial and one of its factors, find the remaining factors of the polynomial. 3 2 69.) x…

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Q: If the point  (5,y)  is on the graph of the equation -2x+7y= -5, determine the value of y

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Q: A company produces custom greeting cards. The cost C (in dollars) of producing n greeting cards per…

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Q: Rationalize the numerator and simplify the expression, assuming x > 0. 4-√√√x=

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Q: Factor the polynomial completely. 10m² – 40.

A: Here we find factor of given polynomial.

Q: A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a…

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Q: What is 20% of 45?

A: We need to find 20% of 45.

Q: Find fx, fy, fz. fx = + +2² f(x,y,z) = e¯ (4x²+2y² 12=7 Z

A: f(x,y,z)=e-(4x2+2y2+z2)we know (i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: Similar to the "half-life", the 'th life is how long it takes an exponentially decaying substance to…

A: Differential equation

Q: Prove that if A is infinite and ACB, then B is also infinite.

A: Given: A is infinite set and A ⊆ B We have to prove that B is also infinite.

Q: Solve for the roots in simplest form using the quadratic formula: x² + 14x = -94 +

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Q: Fill in the tabular box and sum and product diagram for the problem 6m^2-30m+36. Use the example…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: The equation y" + y² + 4y = costa cos(8t) can be solved by a) Neither undetermined coefficients nor…

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Q: Find y as a function of a if y(1) = 3, y'(1) = -7. y = r²y" + 3xy' - 63y = 0,

A: