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Math
Algebra
Algebra 1 Vocab (Graphing Lines)
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Terms in this set (18)
coordinate plane
the plane containing the x- and y-axes
x-axis
the horizontal number line on a coordinate plane
y-axis
the vertical number line on a coordinate plane
origin
the point where the x- and y-axes intersect at their zero points
ordered pair
a set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x,y)
x-coordinate
the first number in an ordered pair
y-coordinate
the second number in an ordered pair
relation
a set of ordered pairs
function
a relation in which each element of the domain is paired with exactly one element of the range
x-intercept
the x-coordinate of a point where a graph crosses the x-axis
y-intercept
the y-coordinate of a point where a graph crosses the y-axis
linear equation
an equation in the form Ax+By=C, with a graph that is a straight line
linear function
a function with ordered pairs that satisfy a linear equation
rate of change
how a quantity is changing with respect to a change in another quantity
slope
the ratio of the change in the y-coordinates (rise) to the corresponding change in the x-coordinates (run) as you move from one point to another along a line
slope-intercept form
an equation of the form y=mx+b, where m is the slope and b is the y-intercept
parallel lines
lines in the same plane that do not intersect and either have the same slope or are vertical lines
perpendicular lines
lines that intersect to form a right angle
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Verified questions
linear algebra
Find f(A) using the definition below. If $f(x) = a_0 + a_1x + a_2x_2 + . . . + a_nx_n$ is a polynomial function, then for a square matrix $A$, $f(A) = a_0 I + a_1A + a_2A^2 + . . . + a_nA^n$. $f(x) = −10 + 5x − 2x^2 + x^3$, $$ A=\begin{bmatrix} 2 & 1 &-1 \\ 1 & 0 & 2 \\ -1 & 1 & 3 \end{bmatrix} $$
statistics
In each exercise. a. use the technology of your choice to identify the modality and symmetry (or nonsummetry) of the distribution of the data set. b. if unimodal, classify the distribution as symmetric, right skewed, or left skewed. In the article, “Length of The Beatles’ Songs”, T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles’ songs are presented on the WeissStats site.
algebra
Find the type and number of solutions for the equation. $$ 2 x ^ { 2 } - 16 x = - 32 $$
discrete math
Each day, the number of births in the world exceeds twice the number of deaths by $61$ thousand.\ a. If the population increase in a single day is $214$ thousand, determine the number of births and deaths per day.\ b. If the population increase in a single day is $214$ thousand, by how many millions of people do the worldwide population increase each year? Round to the nearest million.\ c. Based on your answer to part (b), approximately how many years does it take for the population of the world to increase by an amount greater than the entire U.S. population ( $306$ million)?
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