Precalculus 4th Edition by Cynthia Y. Young EXAM
NEWEST COMPLETE 360 QUESTIONS AND
CORRECT DETAILED ANSWERS (VERIFIED
ANSWERS) |ALREADY GRADED A+
Rational Number - ✔✔ANSWER✔✔--any number
that is a real number that can be written ass a
terminating or repeating decimal
Irrational Number - ✔✔ANSWER✔✔--real number
that cannot be written as a terminating or repeating
decimal (square root of 5)
Quadratic Formula - ✔✔ANSWER✔✔--b±[√b²-
4ac]/2a
Factoring Cubes - ✔✔ANSWER✔✔-a^3+b^3=(a+b)
(a^2-ab+b^2)
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2)
Discriminant - ✔✔ANSWER✔✔--for quadratic
expression, the discriminant is b^2-4ac
,-determines tht nature of the roots when the
quadratic equation=0
-if discriminant is greater than 0, 2 real roots
-if discriminant=0, 1 real root
-if discriminant is less than 0, 2 imaginary roots
Discriminant with x intercepts - ✔✔ANSWER✔✔--
greater than 0, 2 x intercepts
-equal to 0, the vertex lies on the x axis
-less than 0, the parabola doesn't intersect the x axis
Given roots to quadratic equation and have to find
the original equation - ✔✔ANSWER✔✔--formula is
X^2-(sum of roots)x+(product of roots)=0
Distance Formula - ✔✔ANSWER✔✔-d = √[( x₂ - x₁)²
+ (y₂ - y₁)²]
Midpoint Formula - ✔✔ANSWER✔✔-(x₁+x₂)/2,
(y₁+y₂)/2
-is coordinate set
Circle with center at origin - ✔✔ANSWER✔✔-
X^2+Y^2=R^2
Circle with center at (h,k) - ✔✔ANSWER✔✔-(X-h)^2
+(y-k)^2=r^2
,-if a line is tangent to a circle, the line is
perpendicular to the radius drawn to the point of
tangency
Slope intercept form - ✔✔ANSWER✔✔-y=mx+b
-m=slope
-b=y intercept
point slope form - ✔✔ANSWER✔✔-y-y1=m(x-x1)
-passes through point (x1,y1)
standard form - ✔✔ANSWER✔✔-ax+by=c
Parallel Lines - ✔✔ANSWER✔✔--have equal slopes
Perpendicular Lines - ✔✔ANSWER✔✔--have slopes
that are opposite and reciprocal
Constant of proportionality with K -
✔✔ANSWER✔✔-look at other slides
Y=Kx - ✔✔ANSWER✔✔--y varies as x
-y varies directly as x
-y is directly proportional to x
, Y=K/x - ✔✔ANSWER✔✔--y is inversely proportional
to x
Y=kxz - ✔✔ANSWER✔✔--y varies jointly as x and z
Y=Kx/z - ✔✔ANSWER✔✔--y varies directly as x and
inversely as z
Y=Kx+b - ✔✔ANSWER✔✔--y varies linearly as x
relation - ✔✔ANSWER✔✔-- a set of ordered pairs
function - ✔✔ANSWER✔✔-- a relation in which each
input has a unique output
domain - ✔✔ANSWER✔✔--the set of input values
range - ✔✔ANSWER✔✔--the set of corresponding
output values
zeros - ✔✔ANSWER✔✔--the input values that make
the output zero
-values for which f(x)=0
-located on the x axis
NEWEST COMPLETE 360 QUESTIONS AND
CORRECT DETAILED ANSWERS (VERIFIED
ANSWERS) |ALREADY GRADED A+
Rational Number - ✔✔ANSWER✔✔--any number
that is a real number that can be written ass a
terminating or repeating decimal
Irrational Number - ✔✔ANSWER✔✔--real number
that cannot be written as a terminating or repeating
decimal (square root of 5)
Quadratic Formula - ✔✔ANSWER✔✔--b±[√b²-
4ac]/2a
Factoring Cubes - ✔✔ANSWER✔✔-a^3+b^3=(a+b)
(a^2-ab+b^2)
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2)
Discriminant - ✔✔ANSWER✔✔--for quadratic
expression, the discriminant is b^2-4ac
,-determines tht nature of the roots when the
quadratic equation=0
-if discriminant is greater than 0, 2 real roots
-if discriminant=0, 1 real root
-if discriminant is less than 0, 2 imaginary roots
Discriminant with x intercepts - ✔✔ANSWER✔✔--
greater than 0, 2 x intercepts
-equal to 0, the vertex lies on the x axis
-less than 0, the parabola doesn't intersect the x axis
Given roots to quadratic equation and have to find
the original equation - ✔✔ANSWER✔✔--formula is
X^2-(sum of roots)x+(product of roots)=0
Distance Formula - ✔✔ANSWER✔✔-d = √[( x₂ - x₁)²
+ (y₂ - y₁)²]
Midpoint Formula - ✔✔ANSWER✔✔-(x₁+x₂)/2,
(y₁+y₂)/2
-is coordinate set
Circle with center at origin - ✔✔ANSWER✔✔-
X^2+Y^2=R^2
Circle with center at (h,k) - ✔✔ANSWER✔✔-(X-h)^2
+(y-k)^2=r^2
,-if a line is tangent to a circle, the line is
perpendicular to the radius drawn to the point of
tangency
Slope intercept form - ✔✔ANSWER✔✔-y=mx+b
-m=slope
-b=y intercept
point slope form - ✔✔ANSWER✔✔-y-y1=m(x-x1)
-passes through point (x1,y1)
standard form - ✔✔ANSWER✔✔-ax+by=c
Parallel Lines - ✔✔ANSWER✔✔--have equal slopes
Perpendicular Lines - ✔✔ANSWER✔✔--have slopes
that are opposite and reciprocal
Constant of proportionality with K -
✔✔ANSWER✔✔-look at other slides
Y=Kx - ✔✔ANSWER✔✔--y varies as x
-y varies directly as x
-y is directly proportional to x
, Y=K/x - ✔✔ANSWER✔✔--y is inversely proportional
to x
Y=kxz - ✔✔ANSWER✔✔--y varies jointly as x and z
Y=Kx/z - ✔✔ANSWER✔✔--y varies directly as x and
inversely as z
Y=Kx+b - ✔✔ANSWER✔✔--y varies linearly as x
relation - ✔✔ANSWER✔✔-- a set of ordered pairs
function - ✔✔ANSWER✔✔-- a relation in which each
input has a unique output
domain - ✔✔ANSWER✔✔--the set of input values
range - ✔✔ANSWER✔✔--the set of corresponding
output values
zeros - ✔✔ANSWER✔✔--the input values that make
the output zero
-values for which f(x)=0
-located on the x axis
