Which one of the following is a description of the graph of the solution set for the system below? \[\begin{aligned} & x^{2}+y^{2} \leq 36 \\ & 4 x^{2}+9 y^{2} \geq 36 \end{aligned}\]

A) The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders. B) The area inside the ellipse (defined by the second equation), including the border. C) The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders. D) None of these A) The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders. B) The area inside the ellipse (defined by the second equation), including the border. C) The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders. D) None of these

Exam 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems

Graph the system of inequalities. - $y \geq - x^{2} - 6x - 4$ $y \geq x^{2}+6x + 4$ $Graph the system of inequalities. - y \geq - x^{2} - 6x - 4 y \geq x^{2}+6x + 4$

(Multiple Choice)

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Question 61

Graph the function defined by a radical expression. - $f(x)=2 \sqrt{\frac{x-3}{3}}$ $Graph the function defined by a radical expression. - f(x)=2 \sqrt{\frac{x-3}{3}}$

(Multiple Choice)

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Question 62

Solve the problem. Round your answer to the nearest tenth. -The roof of a building is in the shape of the top half of the hyperbola $y^{2}-x^{2}=47$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height $h$ of the outside walls. $Solve the problem. Round your answer to the nearest tenth. -The roof of a building is in the shape of the top half of the hyperbola y^{2}-x^{2}=47 , where x and y are in meters. Refer to the figure and determine the height h of the outside walls.$

(Multiple Choice)

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Question 63

Which method should be used to solve the system? Explain your answer, including a description of the first step. - + =1 x-7y =-2

(Essay)

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Question 64

Graph the system of inequalities. - $2 x+y \leq 4$ $x-1 \geq 0$ $Graph the system of inequalities. - 2 x+y \leq 4 x-1 \geq 0$

(Multiple Choice)

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Question 65

Choose the graph that matches the given function. - $f(x)=\sqrt{x}+1$

(Multiple Choice)

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Question 66

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $x^{2}+y^{2}=49$ $7 x-y=-9$

(Essay)

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Question 67

Find the equation of a circle satisfying the given conditions. -Center: $(1,-1)$ ; radius: 12

(Multiple Choice)

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Question 68

Find the equation of a circle satisfying the given conditions. -Center: $(0,4)$ ; radius: 10

(Multiple Choice)

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Question 69

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $\mathrm{x}^{2}-\mathrm{y}^{2}=16$ $-9 x-2 y=-8$

(Essay)

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Question 70

Which one of the following is a description of the graph of the solution set for the system below? +\leq36 4+9\geq36

(Multiple Choice)

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Question 71

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A circle and an ellipse; four points

(Essay)

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Question 72

Graph the hyperbola with center shifted away from the origin. - $\frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$ $Graph the hyperbola with center shifted away from the origin. - \frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$

(Multiple Choice)

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Question 73

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A parabola and a circle; three points

(Essay)

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Question 74

Graph the function. -f(x)=|x-8|-6

(Multiple Choice)

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Question 75

Graph the rational function. -f(x) = - $\frac{2}{ x }$ $Graph the rational function. -f(x) = - \frac{2}{ x }$

(Multiple Choice)

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Question 76

Graph the inequality. - $y \leq x^{2}-1$ $Graph the inequality. - y \leq x^{2}-1$

(Multiple Choice)

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Question 77

Graph the function. -f(x)=4|x|-9

(Multiple Choice)

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Question 78

Graph the hyperbola. - $\frac{x^{2}}{16}-\frac{y^{2}}{36}=1$ $Graph the hyperbola. - \frac{x^{2}}{16}-\frac{y^{2}}{36}=1$

(Multiple Choice)

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Question 79

Graph the circle. - $(x-5)^{2}+y^{2}=9$ $Graph the circle. - (x-5)^{2}+y^{2}=9$

(Multiple Choice)

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Question 80

Showing 61 - 80 of 233

Graph the system of inequalities. - $y \geq - x^{2} - 6x - 4$ $y \geq x^{2}+6x + 4$ $Graph the system of inequalities. - y \geq - x^{2} - 6x - 4 y \geq x^{2}+6x + 4$

Graph the function defined by a radical expression. - $f(x)=2 \sqrt{\frac{x-3}{3}}$ $Graph the function defined by a radical expression. - f(x)=2 \sqrt{\frac{x-3}{3}}$

Which method should be used to solve the system? Explain your answer, including a description of the first step. - + =1 x-7y =-2

Graph the system of inequalities. - $2 x+y \leq 4$ $x-1 \geq 0$ $Graph the system of inequalities. - 2 x+y \leq 4 x-1 \geq 0$

Choose the graph that matches the given function. - $f(x)=\sqrt{x}+1$

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $x^{2}+y^{2}=49$ $7 x-y=-9$

Find the equation of a circle satisfying the given conditions. -Center: $(1,-1)$ ; radius: 12

Find the equation of a circle satisfying the given conditions. -Center: $(0,4)$ ; radius: 10

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $\mathrm{x}^{2}-\mathrm{y}^{2}=16$ $-9 x-2 y=-8$

Which one of the following is a description of the graph of the solution set for the system below? +\leq36 4+9\geq36

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A circle and an ellipse; four points

Graph the hyperbola with center shifted away from the origin. - $\frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$ $Graph the hyperbola with center shifted away from the origin. - \frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A parabola and a circle; three points

Graph the function. -f(x)=|x-8|-6

Graph the rational function. -f(x) = - $\frac{2}{ x }$ $Graph the rational function. -f(x) = - \frac{2}{ x }$

Graph the inequality. - $y \leq x^{2}-1$ $Graph the inequality. - y \leq x^{2}-1$

Graph the function. -f(x)=4|x|-9

Graph the hyperbola. - $\frac{x^{2}}{16}-\frac{y^{2}}{36}=1$ $Graph the hyperbola. - \frac{x^{2}}{16}-\frac{y^{2}}{36}=1$

Graph the circle. - $(x-5)^{2}+y^{2}=9$ $Graph the circle. - (x-5)^{2}+y^{2}=9$

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Further Topics in Algebra

Appendices

Filters

Exam 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems

Graph the system of inequalities. - y≥−x2−6x−4y \geq - x^{2} - 6x - 4y≥−x2−6x−4 y≥x2+6x+4y \geq x^{2}+6x + 4y≥x2+6x+4

Graph the function defined by a radical expression. - f(x)=2x−33f(x)=2 \sqrt{\frac{x-3}{3}}f(x)=23x−3​​

Solve the problem. Round your answer to the nearest tenth. -The roof of a building is in the shape of the top half of the hyperbola y2−x2=47y^{2}-x^{2}=47y2−x2=47 , where xxx and yyy are in meters. Refer to the figure and determine the height hhh of the outside walls.

Which method should be used to solve the system? Explain your answer, including a description of the first step. - + =1 x-7y =-2

Graph the system of inequalities. - 2x+y≤42 x+y \leq 42x+y≤4 x−1≥0x-1 \geq 0x−1≥0

Choose the graph that matches the given function. - f(x)=x+1f(x)=\sqrt{x}+1f(x)=x​+1

Which method should be used to solve the system? Explain your answer, including a description of the first step. - x2+y2=49x^{2}+y^{2}=49x2+y2=49 7x−y=−97 x-y=-97x−y=−9

Find the equation of a circle satisfying the given conditions. -Center: (1,−1)(1,-1)(1,−1) ; radius: 12

Find the equation of a circle satisfying the given conditions. -Center: (0,4)(0,4)(0,4) ; radius: 10

Which method should be used to solve the system? Explain your answer, including a description of the first step. - x2−y2=16\mathrm{x}^{2}-\mathrm{y}^{2}=16x2−y2=16 −9x−2y=−8-9 x-2 y=-8−9x−2y=−8

Which one of the following is a description of the graph of the solution set for the system below? +\leq36 4+9\geq36

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A circle and an ellipse; four points

Graph the hyperbola with center shifted away from the origin. - (y+1)29−x216=1\frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=19(y+1)2​−16x2​=1

Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these conditions. -A parabola and a circle; three points

Graph the function. -f(x)=|x-8|-6

Graph the rational function. -f(x) = - 2x\frac{2}{ x }x2​

Graph the inequality. - y≤x2−1y \leq x^{2}-1y≤x2−1

Graph the function. -f(x)=4|x|-9

Graph the hyperbola. - x216−y236=1\frac{x^{2}}{16}-\frac{y^{2}}{36}=116x2​−36y2​=1

Graph the circle. - (x−5)2+y2=9(x-5)^{2}+y^{2}=9(x−5)2+y2=9

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Further Topics in Algebra

Appendices

Filters

Graph the system of inequalities. - $y \geq - x^{2} - 6x - 4$ $y \geq x^{2}+6x + 4$ $Graph the system of inequalities. - y \geq - x^{2} - 6x - 4 y \geq x^{2}+6x + 4$

Graph the function defined by a radical expression. - $f(x)=2 \sqrt{\frac{x-3}{3}}$ $Graph the function defined by a radical expression. - f(x)=2 \sqrt{\frac{x-3}{3}}$

Graph the system of inequalities. - $2 x+y \leq 4$ $x-1 \geq 0$ $Graph the system of inequalities. - 2 x+y \leq 4 x-1 \geq 0$

Choose the graph that matches the given function. - $f(x)=\sqrt{x}+1$

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $x^{2}+y^{2}=49$ $7 x-y=-9$

Find the equation of a circle satisfying the given conditions. -Center: $(1,-1)$ ; radius: 12

Find the equation of a circle satisfying the given conditions. -Center: $(0,4)$ ; radius: 10

Which method should be used to solve the system? Explain your answer, including a description of the first step. - $\mathrm{x}^{2}-\mathrm{y}^{2}=16$ $-9 x-2 y=-8$

Graph the hyperbola with center shifted away from the origin. - $\frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$ $Graph the hyperbola with center shifted away from the origin. - \frac{(y+1)^{2}}{9}-\frac{x^{2}}{16}=1$

Graph the rational function. -f(x) = - $\frac{2}{ x }$ $Graph the rational function. -f(x) = - \frac{2}{ x }$

Graph the inequality. - $y \leq x^{2}-1$ $Graph the inequality. - y \leq x^{2}-1$

Graph the hyperbola. - $\frac{x^{2}}{16}-\frac{y^{2}}{36}=1$ $Graph the hyperbola. - \frac{x^{2}}{16}-\frac{y^{2}}{36}=1$

Graph the circle. - $(x-5)^{2}+y^{2}=9$ $Graph the circle. - (x-5)^{2}+y^{2}=9$