Click here👆to get an answer to your question ️ The eccentricity of the conic 4(2y x 3)^2 9(2x y 1)^2 = 80 is Solve Study Textbooks Join / Login Question(b) Suppose that X and Y are independent random variables with Var(X) = 1, Var(Y) = 2 Find Var(1−2X 3Y) Solution (Except for a minor numerical change, this was a quiz problem) Var(1−2X 3Y) = 0(−2)2 Var(X)32 Var(Y) = 4·19·2 = 22 (c) Suppose X and Y are random variables such that Var(X Y) = 9 and Var(X − Y) = 1 Find Cov(X,Y $\begingroup$ @AnuragA Comparing the equations indivually, and working casebycase, I found $4$ solutions to equations;
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Graph the circle x^2+y^2-2x-80=0-Factor x^22x80 x2 − 2x − 80 x 2 2 x 80 Consider the form x2 bxc x 2 b x c Find a pair of integers whose product is c c and whose sum is b b In this case, whose product is −80 80 and whose sum is −2 2 −10,8 10, 8 Write the factored form using these integers (x−10)(x 8)4) Plot the point P ( 0;
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Solution for 2x3y=80 equation Simplifying 2x 3y = 80 Solving 2x 3y = 80 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '3y' to each side of the equation 2x 3y 3y = 80 3y Combine like terms 3y 3y = 0 2x 0 = 80 3y 2x = 80 3y Divide each side by '2' x = 40 15y Simplifying x = 40 15yMinimize x2 rlog(x 1) Determine the solution (as a function of r), and show that the global optimum is obtained as r!0 We need to find the optimum of min x B(x;r) = x2 rlog(x 1) Differentiating wrt x gives 2x r x 1 = 0 and rearranging gives 2x2 2x r= 0 Use the standard formula for a quadratic equation x= b p b2 4ac 2a to obtain x= 2 p 48r 4Derivative calculator This calculator evaluates derivatives using analytical differentiation It will also find local minimum and maximum, of the given function The calculator will try to simplify result as much as possible
73 Equation of a tangent to a circle (EMCHW) On a suitable system of axes, draw the circle x 2 y 2 = with centre at O ( 0;4^x 2(2^x) =80, or 2^x*2^x 2(2^x) 80 = 0 (1) Let 2^x = m, then (1) becomes m^22m80 = 0, or (m10)(m8) = 0, or m = 10 or 8 If m=8 = 2^3, so x = 3 Check 4^3 2*2^3 = 6416 = 80 Correct If m= 10, x will be an irrational valueWhat is the equation of y in terms of x if the curve passes through (1, 1) A x 2 – 3y 3 = 0 B x 3 – 3y 2 = 0 C x 3 3y 2 2 = 0 D 2y x 3 2 = 0
Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music1 (3/2)x ≥ x 4 Let y 1 = 1 (3/2)x and y 2 = x 4 You can see that the point of intersection is (2, 2) The graph of y 1 lies above the graph of y 2 to the left of their point of intersection, which implies y 1 ≥ y 2 for all x ≤ 2 10$(0,2), (1,1) , (1,1), (13/17, 29/17)$ Should I take these to be the common points?
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Previous page to draw the graphs of f(x 2),f(x 2), f(2x), f(1 2x), and f(x) We could alternatively write these functions as (x 2)2,(x 2)2, (2x) 2,(x 2) ,and(x) The graphs of these functions are drawn on the next page Notice on the next page that the graph of (x)2 is the same as the graph of our original function x 2 That's because whenWe could also write the equation in equivalent forms y 2x = 8, 2x y = 8, or 2x y 8 = 0 SLOPEINTERCEPT FORM Now consider the equation of a line with slope m and yintercept b as shown in Figure 712 Substituting 0 for x 1 and b for y 1Weekly Subscription $249 USD per week until cancelled Monthly Subscription $799 USD per month until cancelled Holidays Promotion Annual Subscription $1999 USD for 12 months (40% off)
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5) Draw P T and extend the line so that is cuts the positive x axis Measure O T ^First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More ExamplesIt means a function x of x1 x*(x1) is right Use the ^ (caret) for exponentiation x^2 means x squared
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This quadratic equation root calculator lets you find the roots or zeroes of a quadratic equation A quadratic is a second degree polynomial of the form ax^2bxc=0 where a\neq 0To solve an equation using the online calculator, simply enter the math problem in the text area providedY > 3x 4 y < 1/2x 1 1 The graph of y > 3x − 4 has shading above a dashed line 2 The graph of y < 1/2x 1 has shading below a dashed line 3 The graphs of the inequalities will intersect 4 There are no solutions to the system 5 The graphs of the two inequalities intersect theKey Takeaways The graph of any quadratic equation y = a x 2 b x c, where a, b, and c are real numbers and a ≠ 0, is called a parabola;
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Algebra Calculator is a calculator that gives stepbystep help on algebra problems See More Examples » x3=5 1/3 1/4 y=x^21 Disclaimer This calculator is not perfect Please use at your own risk, and please alert us if something isn't working Thank you Which represents the solution(s) of the system of equations, y = x^2 2x 15 and y = 8x 40?Textbook Exercise 51 On separate axes, accurately draw each of the following functions Use tables of values if necessary Use graph paper if available \ (y_1 = x^2\) \ (y_2 = \frac {1} {2}x^2\) \ (y_3 = x^2 1\) \ (y_4 = 2x^2 4\) Use your sketches of the functions given above to complete the following table (the first column has been
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ANSWERS TO EXERCISES III, §2, p 70 Tangent line at x = 2 Slope at x = 2 1 2x y = 4x 3 4 2 3x2 y = 12x 16 12 3 6x2 y = 24x 32 24 46x y = 12x 12 12 52x y = 4x 9 4 6 4x I Y = 9x 8 9 7 4x 3 Y = 5x 8 5 3x2 8 22 y = 8x 8 8 9 (x 1)2 Y = ~x ~ 9 1 2Algebra Solve by Completing the Square x^22x=80 x2 2x = 80 x 2 2 x = 80 To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b (b 2)2 = (1)2 ( b 2) 2 = ( 1) 2 Add the term to each side of the equationDetermine the solution set
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Examples x^22x=1, 3xxxaa=5, (x^21)/(x1), 2x(xx) Single letter variables only, no functions, xy means x*y, x(x1) means x*(x1), sin(x) means s*i*n*(x) You must use the "*" (star) symbol for all multiplications!6 Minimise Z = x 2y subject to Solution The feasible region determined by the constraints, 2x y ≥ 3, x 2y ≥ 6, x ≥ 0, and y ≥ 0, is given below A (6, 0) and B (0, 3) are the corner points of the feasible region The values of Z at the corner points are given belowThat is, x= 1 p 2 or x= 1 p Thus we have two points to consider for
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The common tangents to the circles `x^2 y^2 2x =0 and x^2 y^26x=0` form a triangle which is asked in Circles by sumitAgrawal ( 1k points) class12WolframAlpha brings expertlevel knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels 2Cho \(x\,;\,y\) là các số nguyên thỏa mãn \(\left( {{x^2} 2x – 80} \right)\left( {{2^x} – y} \right) < 0\)Hỏi có bao nhiêu số nguyên dương
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Lecture 17 Constrained Extrema 172 and x2 y2 = 1 That is, we need to solve 2x 1 = 2 x 2y 1 = 2 y x2 y2 = 1 Note rst that 6= 1 Then from the rst equation we have x= 1 2(1 ) and from the second y= 1 2(1 ) Hence x= y From the last equation, it now follows that 2x2 = 1;3D plot x^2y^2z^2=4 Natural Language; #x^2 2x 80# We can Split the Middle Term of this expression to factorise it In this technique, if we have to factorise an expression like #ax^2 bx c#, we need to think of 2 numbers such that #N_1*N_2 = a*c = 1*(80) = 80# AND #N_1 N_2 = b = 2# After trying out a few numbers we get #N_1 = 10# and #N_2 =8# #8*(10) = 80#, and #8(10)= 2#
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If the lines from the two equations have different slopes then they will only have one point of intersection $\endgroup$ – Edmund The number of ordered pairs which satisfy the equation `x^22xsin(x y)1=0` are (where `y in 0,2pi` ) 1 (b) 2 (c) 3 (d) 0 asked inSolution for 2xy=80 equation Simplifying 2x y = 80 Solving 2x y = 80 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '1y' to each side of the equation 2x y 1y = 80 1y Combine like terms y 1y = 0 2x 0 = 80 1y 2x = 80 1y Divide each side by '2' x = 40 05y Simplifying x = 40 05y
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Solution for If y x 22 and u 2x1, then the dyldu is Q An apartment complex contains 100 units, all of which can be rented if the rent is $500 per apartmen A Given x = number of $10 increases in the rent Amount of each rented unit = 500 10x number of uniAnswer (1 of 5) There are a few steps 1 First, write this as quadratic equation 2 1 Subtract 2x and 80 from both sides of the equals sign 2 You end up with x^2–2x80=0 3 Next, factor the quadratic equation 4 1 Two factors of 80 that add up to equal 2 are 10 and 8 2 Now you havThis step makes the left hand side of the equation a perfect square Add y80 to 1 Factor x^ {2}2x1 In general, when x^ {2}bxc is a perfect square, it can always be factored as \left (x\frac {b} {2}\right)^ {2} Take the square root of both sides of the equation Simplify Add 1
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Chapter 44 Concavity and Curve Sketching Ex7980數學系卡安很閒 所以決定拯救沒辦法用quizlet和chegg的莘莘學子Sketching the General Shape, Knowing y ′ Each of Exercises 59Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section Sydney earned more than 80 points on the test The inequality representing her score is 3x 5y > 80The Parabola Given a quadratic function f ( x) = a x 2 b x c, it is described by its curve y = a x 2 b x c This type of curve is known as a parabola A typical parabola is shown here Parabola, with equation y = x 2 − 4 x 5
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Transcript Ex 63, 14 Solve the following system of inequalities graphically 3x 2y ≤ 150, x 4y ≤ 80, x ≤ 15, y ≥ 0, x ≥ 0 Now we solve 3x 2y ≤ 150 Lets first draw graph of 3x 2y = 150 Putting x = 0 in (1) 3(0) 2y = 150 0 2y = 150 2y = 150 y = 150/2 y = 75 Putting y = 0 in (1) 3x 2(0) = 150 3x 0 = 150 3x = 150 x = 150/3 x = 50 Points to be plotted are (0,75) , (50When graphing parabolas, find the vertex and yinterceptIf the xintercepts exist, find those as wellAlso, be sure to find ordered pair solutions on either side of the line of symmetry, x = − b 2 a Use the leading coefficient, a, to determine if aAnswer (1 of 6) If 4^x 2(2^x) = 80 what is x?
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more2 0 Zp 2x x2 0 p x2 y2 dydxby converting to polar coordinates (To do the double integral, it may be useful to recall that sin 2 cos = 1) Solution The region of integration is the top half of the disk centered at (0;1)with radius 1 To see this, observe that the upper bound on yis p 2x x2 y= p 2x 2x2 ()y2 = 2x x ()x 2 2x1y2 = 1 ()(x 1The yintercept is the point at which the parabola crosses the yaxisThe xintercepts are the points at which the parabola crosses the xaxisIf they exist, the xintercepts represent the zeros, or roots, of the quadratic function, the values of x at which y = 0
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Z = 8x 10y, subject to 2x y ≥ 1, 2x 3y ≥ 15, y ≥ 2, x ≥ 0, y ≥ 0 The minimum value of Z occurs at (a) (45, 2) (b) (15, 4) (c) (0, 7) (d) (7, 0) Answer (b) (15, 4) Question 5 Z = 4x 1 5x 2, subject to 2x 1 x 2 ≥ 7, 2x 1 3x 2 ≤ 15, x 2 ≤ 3, x 1, x 2 ≥ 0 The minimum value of Z occurs at (a) (35, 0) (b) (3, 3 Find the slope of the ellipse x 2 4y 2 – 10x 16y 5 = 0 at the point where y = 2 805 and x = 7 A B C D View Answer Answer Option C Solution Find the slope of the tangent to the curve y = x 4 – 2x 2 8 through point (2, 16) A B 1/24 C 24 D 1/ View Answer Answer OptionSo the numbers are (2x) = 76 (2x2)=78 (2x4)=80 11 Solution Let the digits be x and y, so the number will be = (10xy), on reversing the digits, the new number will be = (10yx) According to the question we can write as x y=12 and also we can write as 10yx10xy=54 Which implies 9y9x=54 yx=54/9 yx=6 y=6x
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