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PreAlgebra Chapter 1B
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Lessons 1.4-1.6
Terms in this set (19)
coordinate system
formed by the intersection of two lines that meet at right angles at their zero points
y-axis
the vertical number line on a coordinate plane
x-axis
the horizontal number line on a coordinate plane
origin
the point at which the number lines of a coordinate system intersect
ordered pair
a pair of numbers used to locate a point on a coordinate plane
x-coordinate
the first number of an ordered pair, which corresponds to a number on the x-axis
y-coordinate
the second number of an ordered pair, which corresponds to a number on the y-axis
Locate (4, 2) on the coordinate plane
Right 4, Up 2
Locate (-1, -3) on the coordinate plane
Left 1, Down 3
Where is the origin on the coordinate plane?
Relation
a set of ordered pairs
domain
the set of x-coordinates in a relation
range
the set of y-coordinates in a relation
Identify the domain and range in this relation: {(-1, 2), (3, 4), (6, -2), (0, 4)}
Domain: {-1, 0, 3, 6}
Range: {-2, 2, 4}
function
a relation in which each member of the domain is paired with exactly one member in the range
equation
a mathematical sentence stating that two quantities are equal
a scatter plot with a positive relationship
a scatter plot with no relationship
a scatter plot with a negative relationship
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Factor the expression completely. $$ 3 x ^ { 3 } - 27 x $$
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For statements P, Q and R, show that $(P \vee Q) \Rightarrow R$ and $(P \Rightarrow R) \wedge(Q \Rightarrow R)$ are logically equivalent.
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**$p$ and $C$ are in dollars and $x$ is the number of units.** If the demand function for a product is $p=12 /(x+1)$ and the supply function is $p=1+0.2 x$, find the consumer's surplus under pure competition.
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Show that the average value of $\cos ^{2} t \text { over }[0,2 \pi]$ is equal to $1 / 2$ Without further calculation, determine whether the average value of is also equal to $1/2.$ value of $\cos ^{2}(t) \text { over }[0, \pi]$ is also equal to $1/2 .$
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