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One integer is four times other. The sum of the integers is 5. What is the value of the lesser integer?
Let x = the lesser integer and now let y = the greater integer. The ?rst sentence in the question provides the equation y = 4x. The second sentence provides the equation x + y = 5. Substitute y = 4x within the second equation: x + 4x = 5. Combine like terms on the left side of the equation: 5x = 5; divide both sides of the equation through 5: 5x/5 = 5/5 . This provides a solution of x= 1, which is the lesser integer.
What is Exponential Functions ? Exponent Laws Review: A) Ax / Ay = A(x + y) B) Ax / Ay = A(x - y) C) (ABC)x = AxBxCx D) ((Ax)y)z = Axyz E) (A/B)x = Ax /Bx Definition
Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0
Perform the denoted operation for each of the following. (a) Add 6x 5 -10x 2 + x - 45 to 13x 2 - 9 x + 4 . (b) Subtract 5x 3 - 9 x 2 + x - 3 from x 2+ x +1.
-9+f ?-1 ?? (a-1)=-12 f(-3)=2
More Optimization Problems Example A window is being built in which the bottom is rectangle and the top is a semicircle. If there framing materials is 12 meters what have
sin2A+cos2A
Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.
What is a two step equation that equals 8 ?
Juan is g years old and Eva is 2 years younger than Juan. a.Find the sum of their ages in terms of g. b.Find the sum of their ages in g years'' time,in terms of g.
a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit
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