Exam 2: Graphs, Lines, and Inequalities

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 10,500$ in 1982 and $\$ 52,500$ in 1987 . Let $x=0$ represent 1982 . Find the equation giving yearly sales $S$ .

(Multiple Choice)

4.7/5

(27)

Question 41

Solve the inequality. - $x^{2}+5 x \geq-4$

(Multiple Choice)

4.8/5

(39)

Question 42

sketch the graph of the equation. - $y=\sqrt{16-x^{2}}$ $sketch the graph of the equation. - y=\sqrt{16-x^{2}}$

(Multiple Choice)

4.8/5

(40)

Question 43

Solve the inequality. -Company A rents copiers for a monthly charge of $\$ 150$ plus 10 cents per copy. Company B rents copiers for a monthly charge of $\$ 300$ plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

(Multiple Choice)

4.9/5

(41)

Question 44

Find the slope of the line, if it is defined. -Through (-5, -6) and $(-5,6)$

(Multiple Choice)

4.7/5

(38)

Question 45

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $y=-2$

(Multiple Choice)

4.8/5

(33)

Question 46

Solve the problem. -The graph shows the relationship between current $I$ and resistance $R$ if the voltage is fixed. Find the current if the resistance is $2.1 \Omega$ . $Solve the problem. -The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the resistance is 2.1 \Omega .$

(Multiple Choice)

4.9/5

(36)

Question 47

Solve the problem. -The cost of manufacturing a molded part is related to the quantity of part produced during a production run. When 100 parts are produced, the cost is $\$ 300$ . When 300 parts are produced, the cost is $\$ 1500$ .

(Multiple Choice)

4.8/5

(28)

Question 48

Solve the inequality. - $\frac{5 x}{5-x} \geq 5 x$

(Multiple Choice)

4.7/5

(36)

Question 49

Solve the inequality and graph the solution. - $\mathrm{s}^{2}-3 \mathrm{~s}-10<0$ $Solve the inequality and graph the solution. - \mathrm{s}^{2}-3 \mathrm{~s}-10<0$

(Multiple Choice)

5.0/5

(38)

Question 50

Solve and graph the inequality and graph the solution. - $-4 x-8 \leq-5 x-4$ $Solve and graph the inequality and graph the solution. - -4 x-8 \leq-5 x-4$

(Multiple Choice)

4.8/5

(36)

Question 51

Write an equation in slope-intercept form of a line satisfying the given conditions. - $\mathrm{m}=\frac{1}{3}$ ; $\mathrm{b}=4$

(Multiple Choice)

4.7/5

(38)

Question 52

Solve the inequality. - $\mathrm{p}^{2}+5 \mathrm{p}+4>0$

(Multiple Choice)

4.9/5

(34)

Question 53

Solve the problem. -Sue drove her car 458 miles in January, 324 miles in February, and 410 miles in March. If her average mileage for the four months from January to April is to be at least 383 miles, how many miles must she drive in April?

(Multiple Choice)

4.8/5

(33)

Question 54

Solve the inequality. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $194.25^{\circ} \mathrm{F}$ . Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

(Multiple Choice)

4.8/5

(37)

Question 55

Solve the problem using your calculator. -Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. Use linear regression to find a linear function that predicts a student's current GPA as a function of his or her entering GPA.

(Multiple Choice)

4.8/5

(41)

Question 56

Solve the problem. -Find the temperature at which the Celsius and Fahrenheit scales coincide.

(Multiple Choice)

4.8/5

(28)

Question 57

Graph the linear equation. - $y+3=0$

(Multiple Choice)

4.9/5

(39)

Question 58

Solve the problem. -Let $C=800+10 x$ be the cost to manufacture $x$ items. Find the average cost per item to produce 90 items.

(Multiple Choice)

4.8/5

(29)

Question 59

Solve the inequality and graph the solution. - $|x| \leq 16$

(Multiple Choice)

4.8/5

(37)

Question 60

Showing 41 - 60 of 255

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 10,500$ in 1982 and $\$ 52,500$ in 1987 . Let $x=0$ represent 1982 . Find the equation giving yearly sales $S$ .

Solve the inequality. - $x^{2}+5 x \geq-4$

sketch the graph of the equation. - $y=\sqrt{16-x^{2}}$ $sketch the graph of the equation. - y=\sqrt{16-x^{2}}$

Solve the inequality. -Company A rents copiers for a monthly charge of $\$ 150$ plus 10 cents per copy. Company B rents copiers for a monthly charge of $\$ 300$ plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Find the slope of the line, if it is defined. -Through (-5, -6) and $(-5,6)$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $y=-2$

Solve the problem. -The cost of manufacturing a molded part is related to the quantity of part produced during a production run. When 100 parts are produced, the cost is $\$ 300$ . When 300 parts are produced, the cost is $\$ 1500$ .

Solve the inequality. - $\frac{5 x}{5-x} \geq 5 x$

Solve the inequality and graph the solution. - $\mathrm{s}^{2}-3 \mathrm{~s}-10<0$ $Solve the inequality and graph the solution. - \mathrm{s}^{2}-3 \mathrm{~s}-10<0$

Solve and graph the inequality and graph the solution. - $-4 x-8 \leq-5 x-4$ $Solve and graph the inequality and graph the solution. - -4 x-8 \leq-5 x-4$

Write an equation in slope-intercept form of a line satisfying the given conditions. - $\mathrm{m}=\frac{1}{3}$ ; $\mathrm{b}=4$

Solve the inequality. - $\mathrm{p}^{2}+5 \mathrm{p}+4>0$

Solve the problem. -Sue drove her car 458 miles in January, 324 miles in February, and 410 miles in March. If her average mileage for the four months from January to April is to be at least 383 miles, how many miles must she drive in April?

Solve the inequality. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $194.25^{\circ} \mathrm{F}$ . Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Solve the problem. -Find the temperature at which the Celsius and Fahrenheit scales coincide.

Graph the linear equation. - $y+3=0$

Solve the problem. -Let $C=800+10 x$ be the cost to manufacture $x$ items. Find the average cost per item to produce 90 items.

Solve the inequality and graph the solution. - $|x| \leq 16$

Algebra and Equations

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 2: Graphs, Lines, and Inequalities

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $10,500\$ 10,500$10,500 in 1982 and $52,500\$ 52,500$52,500 in 1987 . Let x=0x=0x=0 represent 1982 . Find the equation giving yearly sales SSS .

Solve the inequality. - x2+5x≥−4x^{2}+5 x \geq-4x2+5x≥−4

sketch the graph of the equation. - y=16−x2y=\sqrt{16-x^{2}}y=16−x2​

Solve the inequality. -Company A rents copiers for a monthly charge of $150\$ 150$150 plus 10 cents per copy. Company B rents copiers for a monthly charge of $300\$ 300$300 plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Find the slope of the line, if it is defined. -Through (-5, -6) and (−5,6)(-5,6)(−5,6)

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - y=−2y=-2y=−2

Solve the problem. -The graph shows the relationship between current III and resistance RRR if the voltage is fixed. Find the current if the resistance is 2.1Ω2.1 \Omega2.1Ω .

Solve the problem. -The cost of manufacturing a molded part is related to the quantity of part produced during a production run. When 100 parts are produced, the cost is $300\$ 300$300 . When 300 parts are produced, the cost is $1500\$ 1500$1500 .

Solve the inequality. - 5x5−x≥5x\frac{5 x}{5-x} \geq 5 x5−x5x​≥5x

Solve the inequality and graph the solution. - s2−3 s−10<0\mathrm{s}^{2}-3 \mathrm{~s}-10<0s2−3 s−10<0

Solve and graph the inequality and graph the solution. - −4x−8≤−5x−4-4 x-8 \leq-5 x-4−4x−8≤−5x−4

Write an equation in slope-intercept form of a line satisfying the given conditions. - m=13\mathrm{m}=\frac{1}{3}m=31​ ; b=4\mathrm{b}=4b=4

Solve the inequality. - p2+5p+4>0\mathrm{p}^{2}+5 \mathrm{p}+4>0p2+5p+4>0

Solve the problem. -Sue drove her car 458 miles in January, 324 miles in February, and 410 miles in March. If her average mileage for the four months from January to April is to be at least 383 miles, how many miles must she drive in April?

Solve the problem. -Find the temperature at which the Celsius and Fahrenheit scales coincide.

Graph the linear equation. - y+3=0y+3=0y+3=0

Solve the problem. -Let C=800+10xC=800+10 xC=800+10x be the cost to manufacture xxx items. Find the average cost per item to produce 90 items.

Solve the inequality and graph the solution. - ∣x∣≤16|x| \leq 16∣x∣≤16

Algebra and Equations

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $\$ 10,500$ in 1982 and $\$ 52,500$ in 1987 . Let $x=0$ represent 1982 . Find the equation giving yearly sales $S$ .

Solve the inequality. - $x^{2}+5 x \geq-4$

sketch the graph of the equation. - $y=\sqrt{16-x^{2}}$ $sketch the graph of the equation. - y=\sqrt{16-x^{2}}$

Solve the inequality. -Company A rents copiers for a monthly charge of $\$ 150$ plus 10 cents per copy. Company B rents copiers for a monthly charge of $\$ 300$ plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Find the slope of the line, if it is defined. -Through (-5, -6) and $(-5,6)$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $y=-2$

Solve the problem. -The cost of manufacturing a molded part is related to the quantity of part produced during a production run. When 100 parts are produced, the cost is $\$ 300$ . When 300 parts are produced, the cost is $\$ 1500$ .

Solve the inequality. - $\frac{5 x}{5-x} \geq 5 x$

Solve the inequality and graph the solution. - $\mathrm{s}^{2}-3 \mathrm{~s}-10<0$ $Solve the inequality and graph the solution. - \mathrm{s}^{2}-3 \mathrm{~s}-10<0$

Solve and graph the inequality and graph the solution. - $-4 x-8 \leq-5 x-4$ $Solve and graph the inequality and graph the solution. - -4 x-8 \leq-5 x-4$

Write an equation in slope-intercept form of a line satisfying the given conditions. - $\mathrm{m}=\frac{1}{3}$ ; $\mathrm{b}=4$

Solve the inequality. - $\mathrm{p}^{2}+5 \mathrm{p}+4>0$

Graph the linear equation. - $y+3=0$

Solve the problem. -Let $C=800+10 x$ be the cost to manufacture $x$ items. Find the average cost per item to produce 90 items.

Solve the inequality and graph the solution. - $|x| \leq 16$