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38 Cards in this Set
- Front
- Back
Plot the point (-4, -4, 3) in 3-D space
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Sketch the graph of the -4x -10y + 5z = -20. Label the points where the graph crosses the x-, y- and z-axes.
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Write the linear equation 2x - 3y + z = 6 as a function of x and y. Then evaluate the function for f(1,1).
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f(x,y) = -2x + 3y + 6; f(1,1) = -2 + 3 + 6 = 7
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Solve the system of equation without a calculator x - 2y + 3z = 7, 2x + y + z = 4 and -3x + 2y - 2z = 10
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x = 2, y = -1 and z = 1
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Use inverse matrices to solve for matrix X.
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These matrices cannot be added together because they are not the same size.
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x = 1, y = -1
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3
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Without using your calculator
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The inverse does not exist because the determinant is zero.
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A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.50 per pound, almonds $2.25 per pound, and cashews for $3.75 per pound. Suppose a specialty shop wants a mixture of 270 pounds that will cost $2.89 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is twice the number of pounds of peanuts. Round your answer to the nearest pound.
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20 lb of almonds, 160 lb of cashews, 90 lb of peanuts
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Give an example of a 5x5 identity matrix.
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Write the coefficient matrix for the following system: 8x - 7y + 10z = 15, 2x + 3y + 8z = 7, and -4x + 5y - 2z = -9
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Write the variable matrix for the following system: 8x - 7y + 10z = 15, 2x + 3y + 8z = 7, and -4x + 5y - 2z = -9
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Write the constant matrix for the following system: 8x - 7y + 10z = 15, 2x + 3y + 8z = 7, and -4x + 5y - 2z = -9
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Use your calculator to solve the following system: 8x - 7y + 10z = 15, 2x + 3y + 8z = 7, and -4x + 5y - 2z = -9
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x = 7, y = 3, z = -2
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Without your calculator
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Vertex = (-1,2) y intercept = (0,4)
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Without your calculator
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1) maxium
2) narrower 3) y-intercept = (-13,0) 4) axis of symmetry, x = 2/3 5) vertex = (2/3, -11 2/3) |
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Without your calculator
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1) minimum
2) wider 3) y-intercept = (0,5) 4) axis of symmetry x = 0 5) Vertex= (0,5) |
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Without your calculator
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vertex = (3,2)
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Without your calculator
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x-intercepts = (-4,0) and (1, 0)
vertex = (-1.5, -6.25) |
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a) $700
b) 20 fixtures |
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(x -7) (x - 4)
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(2x + 1)(x + 3)
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Cannot be factored
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(2x - 7)(x + 3)
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-2(2x - 3)(2x - 3)
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(3x + 2)(3x + 2) - 9 = 7
x = 1/2 foot |
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6
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1/11
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about 2.7 seconds
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