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Methods on system of linear equations?

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


Who does the plateosaurus get its food?

i think you mean stegosaurus andx its a herbavore wich means it eats plants only


What upper case letters have rotational symmetry?

O,I,H,andX * * * * * Not forgetting N, S and Z.


What are the laws for dividing and multiplying exponents?

x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)


How Do You Get Manaphy The Pokemon?

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.


What is meant by work is worship?

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.


When comparing the graphs of y equals x and yx what is the difference in graphs?

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.


Is it possible for a system of two linear inequalities to have no solution?

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.


What is the answer to 4x squared plus 7x minus negative 2 equals 0?

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=====


What are two number that add up to 54 and the difference is 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


How do you solve 4X squared plus 8X minus 20 equals 0?

-- 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.


The greater of two consecutive integers is 15 more than twice the smaller?

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