Concept explainers
In each of Exercises 7 –12, match the phrase with the most appropriate choice from the following list.
a.
b. 2
c.
d.
e.
f. 3
_________The slope of the graph of
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EBK ELEMENTARY AND INTERMEDIATE ALGEBRA
- . Marriage Rate The marriage rate per 1000 unmarriedwomen for the years 1987–2014 can be modeled bythe function 132x + 1000y = 9570, where x is thenumber of years after 1980. During what year doesthe equation indicate the marriage rate will be 4.29?(Source: National Vital Statistics Report 2010)arrow_forwardMatch each graph with its x-intercepts. a. (1,0), (4, 0), ( –1,0) b. (0, 1), (0, 4), (0, – 1) c. (1, 0), (5, 0) d. (0, 1), (0, 5) e. (0, 6), (0, 4), (0, 6), (0, 2) f. (2, 0), (6, 0), (4, 0), (0, 0)arrow_forwardFind x.arrow_forward
- function. 2. Determine if the equation x-3y =1 is a function.arrow_forwardExercises 123–126: Predict the number of tick marks on the positive x-axis and the positive y-axis. Then show the viewing rectangle on your graphing calculator. 123. Standard viewing rectangle 124. [-4.7, 4.7, 1] by [-3.1, 3.1, 1] 125. (0, 100, 10] by [-50, 50, 10] 126. [-30, 30, 5] by (-20, 20, 5]arrow_forward5arrow_forward
- determine the largest and smallest value of the function y=3sinx+4arrow_forwardWrite the equation for the line through the points (-2, 8) and (7, –10) in the form y = m(x – xo) + yo where m is the slope of the line and (xo, yo) is a point that it passes through. This is sometimes referred to as the point-slope form of the line. y =arrow_forwardIn Exercises 25–27, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. 25. Passing through (-1, –3) and (4, 2) 26. Passing through (-2, 3) and perpendicular to the line whose equation is y = -3x – 4 27. Passing through (6, -4) and parallel to the line whose equation is x + 2y = 5arrow_forward
- Marriage Rate The marriage rate per 1000 unmarried women for the years 1987–2014 is given by 132x + 1000y = 9570 where x is the number ofyears after 1980.a. Find the x-intercept of the graph of this function. b. Find and interpret the y-intercept of the graph ofthis function.c. Graph this function, using the intercepts.(Source: National Vital Statistics Report)arrow_forwardConsider the function y = 2×. Complete the table of points for x = -2, -1, 0, 1, 2. Find the exact y-values. y -2 -1 1 2arrow_forwardPart A: Identifying Slope and y – intercept. 1. у %3— 5х + 6 3. у %3— х + 6 2. y =x - 5 4. y =- 7 + 4xarrow_forward
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