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Ch. 3 & 4
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Gravity
math vocabulary
Terms in this set (45)
break-even point
point @ which income =s cost
bounded region
region is bounded when graph of system of constraints is polygonal region
consistent system
system of equations that has @ least 1 ordered pair that satisfies both equations
constraints
conditions given to variables, often expressed as linear inequalities
dependent system
system of equations that has infinite # of solutions
elimination method
eliminate 1 of variables n system of equations by adding or subtracting equations
feasible region
intersection of graphs n system of constraints
inconsistent system
system of equations w/no ordered pair that satisfy both equations
independent system
system of equations w/exactly 1 solution
linear programming
process of finding maximum or minimum values of function 4 region defined by inequalities
matrix
any rectangular array of variables or constants n horizontal rows & vertical columns
element of matrix
each value n matrix
scalar multiplication of matrix
multiplying any matrix by constant called scalar; product of scalar k & mxm matrix
dimensions of matrix
# of rows, m, & # of columns, n, of matrix written as mxm
optimize
to seek optimal price or amount that's desired to minimize costs or maximize profits
ordered triple
1)coordinates of point n space. 2)solution of system of equations n 3 variables x, y, & z
substitution method
method of solving system of equations n which 1 equation is solved 4 1 variable n terms of other
system of equations
set of equations w/same variables
system of inequalities
set of inequalities w/same variables
unbounded region
system of inequalities that forms region that's open
vertex (of feasible region)
set of ordered pairs that satisfy system of inequalities
axis of symmetry
line bout which figure is symmetric
completing square
process used to make quadratic expression n2 perfect square trinomial
complex conjugates
2 complex #s of form a+bi & a-bi
complex #
any # that can b written n form a+bi, where a & b r real #s & i is imaginary unit
constant term
n f(x)=ax2+bx+c, c is constant term
discriminant
n quadratic formula, expression b2-4ac
factored form of quadratic equation
function set = to value, n form ax2+bx+c=0, where a ≠ 0
imaginary unit
i, or principal square root of -1
linear term
n equation f(x)=ax2+bx+c, bx is linear term
maximum value
y-coordinate of vertex of quadratic function f(x)=ax2+bx+c, where a < 0
minimum value
y-coordinate of vertex of quadratic function f(x)=ax2+bx+c, where a > 0
parabola
graph of quadratic function. set of all points n plane that r same distance from given point, called focus, & given line, called directrix
pure imaginary #
square roots of negative real #s. 4 any positive real # b
quadratic equation
quadratic function set = to value, n form ax2+bx+c=0, where a ≠ 0
quadratic formula
solutions of quadratic equation of form ax2+bx+c=0, where a ≠ 0, r given by quadratic formula, which is
x=-b±√b2-4ac/2a
quadratic function
function described by equation f(x)=ax2+bx+c, where a ≠ 0
quadratic inequality
inequality of form: y>ax2+bx+c, y≥ax2+bx+c, y<ax2+bx+c, or y≤ax2+bx+c
quadratic term
n equation f(x)=ax2+bx+c, ax2 is quadratic term
root
solutions of quadratic equation
standard form of quadratic equation
ax2+bx+c=0. a, b, & c r known values. a ≠ 0
square root property
4 any real # n, if x2=n, then x=±√n
vertex (of parabola)
point where parabola crosses its axis
vertex form (of parabola)
quadratic function n form y=a(x-h)2+k, where (h,k) is vertex of parabola & x=h is its axis of symmetry
zero
x-intercepts of graph of function; points 4 which f(x)=0
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