Exam 2: Graphs, Lines, and Inequalities

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sketch the graph of the equation. - y=x24y=-x^{2}-4  sketch the graph of the equation. - y=-x^{2}-4

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Solve the inequality. - x2+7x12x^{2}+7 x \leq-12

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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. - y=9x8y=9 x-8

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Find an equation of the the line satisfying the given conditions. -Through (-3,10); perpendicular to 8x+8y=88-8 x+8 y=88

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Write an equation in slope-intercept form of a line satisfying the given conditions. -Slope 34;y-\frac{3}{4} ; y -intercept 274\frac{27}{4}

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Solve the problem. -In order for a chemical reaction to remain stable, its Celsius temperature must be no more than 146.18 C{ }^{\circ} \mathrm{C} . Find the Fahrenheit temperatures at which the reaction will remain stable. (F=95C+\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+\right. 32)

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Solve the problem. -Jon has 1043 points in his math class. He must have 87%87 \% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

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Solve the inequality. - m316 m0\mathrm{m}^{3}-16 \mathrm{~m} \geq 0

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Use a graphing calculator to find the graph of the equation. - y=x33x+2y=x^{3}-3 x+2  Use a graphing calculator to find the graph of the equation. - y=x^{3}-3 x+2

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Solve the problem. -A rectangular enclosure must have an area of at least 4200yd24200 \mathrm{yd}^{2} . If 260yd260 \mathrm{yd} of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

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Write an equation in slope-intercept form of a line satisfying the given conditions. -Slope - 35;y\frac{3}{5} ; y -intercept 75\frac{7}{5}

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Graph the linear equation. - 2x=y82 x=y-8  Graph the linear equation. - 2 x=y-8

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Use a graphing calculator to approximate all real solutions of the equation. - y=x4+9x3+17x29x18y=x^{4}+9 x^{3}+17 x^{2}-9 x-18

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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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Solve the inequality and graph the solution. - 8x1<98|x-1|<9

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Solve the problem using your calculator. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use linear regression to find a linear function that predicts a student's score as a function of the number of hours he or she studied. Solve the problem using your calculator. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use linear regression to find a linear function that predicts a student's score as a function of the number of hours he or she studied.

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Solve the inequality. - x2+2x8x22x48<0\frac{x^{2}+2 x-8}{x^{2}-2 x-48}<0

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Use technology to compute rr , the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):  Use technology to compute  r , the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

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Use technology to compute rr , the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:  Use technology to compute  r , the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

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