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Lety be the column vector the dependent variable,M be the matrix of coefficients, andx be the column vector of variablesso that the system of equations may be represented by y = Mx.Then the solution set is obtained by left-multiplying both sides by M^-1that is x = M^-1*y
O,I,H,andX * * * * * Not forgetting N, S and Z.
x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)
y = x is a straight line through the origin, with a slope of 45 degrees (going from bottom left to top right).y = yx comprises two lines:y = 0 which is the x axis, andx = 1, which is a line parallel to the y axis, and at a distance 1 to its right.
4X2 + 7X - 2 = 0I am too lazy to use anything but the quadratic formula here!X = - b (+/-) sqrt(b2 - 4ac)/2aa = 4b = 7c = - 2X = - 7 (+/-) sqrt[(72 - 4(4)(- 2)]/2(4)X = - 7 (+/-) sqrt(49 + 32)/8X = - 7 (+/-) sqrt(81)/8X =[ - 7 (+/-) 9]/8=====================so,X = 1/4=======andX = - 2=====
Lety be the column vector the dependent variable,M be the matrix of coefficients, andx be the column vector of variablesso that the system of equations may be represented by y = Mx.Then the solution set is obtained by left-multiplying both sides by M^-1that is x = M^-1*y
i think you mean stegosaurus andx its a herbavore wich means it eats plants only
O,I,H,andX * * * * * Not forgetting N, S and Z.
x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)
You have to get the magic pokeball and than go to your home town andx talk to your mom and she will give you a new map that will gide you to him.
if you work hhard for someone, harder than other people andx the person you work hard for praises you, people may get jealous and say that you worship that person. if you work hhard for someone, harder than other people andx the person you work hard for praises you, people may get jealous and say that you worship that person.
y = x is a straight line through the origin, with a slope of 45 degrees (going from bottom left to top right).y = yx comprises two lines:y = 0 which is the x axis, andx = 1, which is a line parallel to the y axis, and at a distance 1 to its right.
Sure. Visualize the graphs of two half-planes, each representing a linear inequality. Those can overlap, or they might not overlap. For example:x > 2, andx < 0But a similar example can be made with two variables, as well.x + y > 3x + y < 2If you graph it, you will get two half-planes that don't touch.If you look at the equations, for any combination of values for x and y, the result can't be both more than 3 and less than 2, so there is not a single solution.
4X2 + 7X - 2 = 0I am too lazy to use anything but the quadratic formula here!X = - b (+/-) sqrt(b2 - 4ac)/2aa = 4b = 7c = - 2X = - 7 (+/-) sqrt[(72 - 4(4)(- 2)]/2(4)X = - 7 (+/-) sqrt(49 + 32)/8X = - 7 (+/-) sqrt(81)/8X =[ - 7 (+/-) 9]/8=====================so,X = 1/4=======andX = - 2=====
Suppose the two numbers are x and y. Thenx + y = 54 . . . . . (A) andx - y = 2 . . . . . . (B)(A) + (B) gives 2x = 56 so that x = 56/2 = 28and then, by (B), 28 - y = 2 so that y = 26.So the two numbers are 28 and 26
-- Although not required, you can make it slightly easier on yourselfif you first divide each side of the equation by 4.-- Either way, you're left with a quadratic equation that isn't easilyfactorable by inspection, so you're forced to use the quadratic formulawhich you learned and then forgot.-- The quadratic formula says that when you have the quadratic equation[ Ax2 + Bx + C = 0 ],which is exactly what you have, the two solutions arex = 1/2A [ -B + sqrt(B2-4AC) ]andx = 1/2A [ -B - sqrt(B2-4AC) ].This is the perfect time to use the quadratic formula,and that's exactly how you solve your equation.
Let x be one integerLet's say it is the bigger one.x-1 must be the other one since they are consecutive.x=2(x-1)+15x=2x+13-x=13x=-13 andx-1, the smaller one is -14Let's check.twice the smaller is -2815 more than -28 is -13 which is the bigger one.So the answer is -14 and -13