Exam 2: Graphs, Lines, and Inequalities

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Solve the inequality. - t22t30t^{2}-2 t-3 \leq 0

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Solve the problem. -During the month of January, the depth, dd , of snow in inches at the base of one ski resort could be approximated by d=2t+67\mathrm{d}=-2 \mathrm{t}+67 , where t\mathrm{t} is the number of days since December 31st. Graph the equation and use the graph to estimate the depth of snow on January 24th.  Solve the problem. -During the month of January, the depth,  d , of snow in inches at the base of one ski resort could be approximated by  \mathrm{d}=-2 \mathrm{t}+67 , where  \mathrm{t}  is the number of days since December 31st. Graph the equation and use the graph to estimate the depth of snow on January 24th.

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Graph the linear equation. - 6xy=06 x-y=0  Graph the linear equation. - 6 x-y=0

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Solve the problem. -During the first four months of the year, Jack earned $980,$950,$1200\$ 980, \$ 950, \$ 1200 and $520\$ 520 . If Jack must have an average salary of at least $850\$ 850 in order to earn retirement benefits, what must Jack earn in the fifth month in order to qualify for benefits?

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Find the x-intercepts and y-intercepts of the graph of the equation. - y=x2+1y=x^{2}+1

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Find the slope of the line, if it is defined. -Through (4,8)(4,-8) and (8,3)(8,3)

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Find the slope and the y-intercept of the line. - 2x3y=222 x-3 y=-22

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Give the x-intercepts and y-intercepts of the graph. -Give the x-intercepts and y-intercepts of the graph. -

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Find the slope and the y-intercept of the line. - 4x+5y=184 x+5 y=18

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Find the slope of the line, if it is defined. -Through (2,3)(2,-3) and (3,7)(-3,7)

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Use technology to compute rr , the correlation coefficient. -Co nsider the data points with the following coordinates:  Use technology to compute  r , the correlation coefficient. -Co nsider the data points with the following coordinates:

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sketch the graph of the equation. - y=x+5y=\sqrt{x+5}  sketch the graph of the equation. - y=\sqrt{x+5}

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Solve the inequality and graph the solution. - b3+3>1|\mathrm{b}-3|+3>1

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Solve the problem. -A retailer knows that n\mathrm{n} games can be sold in a month if the price is 300.3n30-0.3 \mathrm{n} dollars per game. If he buys each game for $3\$ 3 , and if he wishes to make a profit of at least $600\$ 600 per month on sales of this game, how many games must he sell each month?

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Identify whether the slope is positive, negative, zero, or undefined. -Identify whether the slope is positive, negative, zero, or undefined. -

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Solve the inequality and graph the solution. - x2+7x12x^{2}+7 x \geq-12  Solve the inequality and graph the solution. - x^{2}+7 x \geq-12

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Solve the inequality. - (a+1)(a3)(a4)>0(a+1)(a-3)(a-4)>0

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Solve the inequality and graph the solution. - t26t70t^{2}-6 t-7 \leq 0  Solve the inequality and graph the solution. - t^{2}-6 t-7 \leq 0

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Solve and graph the inequality and graph the solution. -30x + 18 > 6(4x + 10) Solve and graph the inequality and graph the solution. -30x + 18 > 6(4x + 10)

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Solve the inequality and graph the solution. - v2+6v+50v^{2}+6 v+5 \geq 0  Solve the inequality and graph the solution. - v^{2}+6 v+5 \geq 0

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