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college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Find the volume, the surface area of the side, and the total surface area of the cylinder that satisfies the given conditions, where r is the radius and h is the height. Approximate values to the
Use the quotient rule to simplify the expression. Use positive exponents to write your answer. 21x-3y4 7xy
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P = 150,000, T = 40 years
Factor the expression completely. 2x²14x + 20
Write the expression in radical notation.(x-y)-2/7
Factor the expression completely. 7x² + 35x + 42
Simplify. Leave numerators and denominators in factored form when appropriate. x² + x - 12 2x²-9x-5 x² + 7x + 12 2x² - 7x-4
Find the volume, the surface area of the side, and the total surface area of the cylinder that satisfies the given conditions, where r is the radius and h is the height. Approximate values to the
Write the expression in radical notation. Then evaluate the expression when the result is an integer.272/3
Write the expression in radical notation. Then evaluate the expression when the result is an integer.84/3
Use the quotient rule to simplify the expression. Use positive exponents to write your answer. 32x³y -24x³y
Use the rule of 70 to estimate the annual percent rate of growth for a city whose population P doubles in time T. P = 400,000, T = 25 years
Simplify. Leave numerators and denominators in factored form when appropriate. x-2 x³ - x +² - 2x x²-1
Write the expression in radical notation. Then evaluate the expression when the result is an integer.(-1)4/3
Simplify. Leave numerators and denominators in factored form when appropriate. x² - 2x - 35 2x³ - 3x² x²-r 2x 14 -
Find the volume and surface area of the sphere satisfying the given condition, where r is the radius and d is the diameter. Approximate values to the nearest tenth. r = 3 feet
Use the graph to find the standard form of the hyperbola. 6
Approximate the constant of variation to the nearest hundredth.The variable z varies jointly with the second power of x and the third power of y. If x = 2 and y = 2.5, then z = 31.9.
Approximate the constant of variation to the nearest hundredth.The variable z varies jointly with the 1.5 power of x and the 2.1 power of y. If x= 4 and y = 3.5, then z = 397.
The variable z varies jointly with the square root of x and the cube root of y. If z = 10.8 when x = 4 and y = 8, find z when x = 16 and y = 27.
The variable z varies jointly with the third powers of x and y. If z = 2160 when x = 3 and y = 4, find z when x = 2 and y = 5.The variable z varies jointly with the second power of x and the third
A hyperbola with an equation of the formhas a(n) vertical/horizontal transverse axis. 11 1
An ellipse with equationhas a(n) vertical/horizontal major axis. + 12 = 1(a>b> 0)
Write in intercept form the equation of the line satisfying the given conditions. Then find the x- and y-intercepts of the line.Passing through (-2, 6) and (4, -3)
Graph the parabola defined by x = 1/2y2. Include the focus and directrix.
Graph the ellipse. Label the foci and the endpoints of each axis. 1= 9 für 월을
The_______ are the endpoints of the transverse axis of a hyperbola.
The endpoints of the major axis of an ellipse are called the _______ of the ellipse.
Write in intercept form the equation of the line satisfying the given conditions. Then find the x- and y-intercepts of the line.Passing through (-6, -4) and (3, 8)
Find an equation of the parabola with focus (-1,0) and directrix y = 3.
A parabola always opens toward its__________.
Graph the hyperbola defined by x2/9 - y2/16-= 1. Include the foci and asymptotes.
The (dashed) rectangle used as an aid in graphing a hyperbola is called the_______ rectangle.
The foci of an ellipse are located on the__________ axis.
Write in intercept form the equation of the line satisfying the given conditions. Then find the x- and y-intercepts of the line.Slope -2, passing through (3,-1)
Graph the ellipse defined by x2/36+y2/100= 1. Include the foci and label the major and minor axes.
A parabola always opens away from its_________.
The parabola x2 = 4py opens________ if p > 0. and it opens________ if p < 0.
Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola. (The coordinates of the foci and vertices are
Determine an equation of the conic section that satisfies the given conditions.Hyperbola with vertices (-2 ± 3, 3) and foci given by (-2 ± 4, 3)
Use mathematical induction to prove the statement. Assume that n is a positive integer. 1² +2²+ 3² + + n² n(n + 1)(2n + 1) 6
Use the graphical representation to identify the terms of the finite sequence. 6 5 M 0 1 2 3 4 5 6
Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola. (The coordinates of the foci and vertices are
Find the standard equation of the ellipse shown in the figure. Identify the coordinates of the vertices, endpoints of the minor axis, and the foci. 딤 2 2
Match the equation with its graph (a-f). x² = 2y
Find an equation of the parabola with vertex (0, 0) that satisfies the given conditions. Focus (0,2)
Write the equation in standard form for an ellipse or a hyperbola centered at (h, k). Identify the center and the vertices. 4y² + 8y3x² + 6x = 11
Sketch a graph of the ellipse. (x - 2)² 4 - (v − 1)² 9 1
Match the equation with its graph (a-d). ,
Write the equation in standard form for an ellipse or a hyperbola centered at (h, k). Identify the center and the vertices. x² + 4x - 4y² + 24y = 36
Find an equation of the parabola with vertex (0, 0) that satisfies the given conditions.Directrix y = 2
Write the equation in standard form for an ellipse or a hyperbola centered at (h, k). Identify the center and the vertices. 5x² + 20x + 2y²-8y = -18
Sketch a graph of the hyperbola. Identify the vertices, foci, and asymptotes. (y + 1)² = (x - 3)² 4 =
Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph. 15 16 = 1; (5, -6)
Match the equation with its graph (a-d). ,
Sketch a graph of the ellipse. (x + 1)² (v + 3)² 16 9 + 1
Match the equation with its graph (a-d). ,
Find an equation of the parabola with vertex (0, 0) that satisfies the given conditions.Directrix x = 2
Sketch a graph of the ellipse. (x + 1)² (y + 2)² + 16 25 1
A searchlight is constructed in the shape of a paraboloid with a depth of 7 inches and a diameter of 20 inches, as illustrated in the figure. Determine the distance d that the bulb should be from the
Give graphical and numerical representations of the sequence defined by an = -2n + 3, where an = f(n). Include the first six terms.
Write 34,500 in scientific notation and 1.52 x 10-4 in standard form.
Complete the following. (a) Write the described sequence. (b) Write a series that sums the terms of the sequence in part (a). (c) Find the sum of the series in part (b).The counting
Does the number represent a probability? 2.5
Calculate the number of distinguishable strings that can be formed with the given number of a's and b's. Four a's, two b's
Solve -2.3x + 3.4 = √2x2 - 1 graphically. Round your answers to the nearest tenth.
Of a group of 82 students, 19 are enrolled in music, 22 in art, and 10 in both. (a) Draw a Venn diagram representing these data. (b) Use this diagram to determine the probability that a
Find a general term an for the arithmetic sequence. a4 = 2, a7 = -7
Use Pascal's triangle to help expand the expression. (3-2x)5
A hyperbola with an equation of the formhas a(n) vertical/horizontal transverse axis. || 1
An ellipse with equationhas a(n) vertical/horizontal major axis. 3 + 2 = = 1 (a> b > 0)
Write in intercept form the equation of the line satisfying the given conditions. Then find the x- and y-intercepts of the line.Slope 4, passing through (-2, 1)
Find an equation of the ellipse centered at (3,-2) with a vertical major axis of length 6 and minor axis of length 4. What are the coordinates of the foci?
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. 9 로 49
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. 등이 4
Find the x- and y-intercepts of the ellipse. ² +²²=₁ 1 25 9
Graph the ellipse. Label the foci and the endpoints of each axis. 1
Match the equation with its graph (a-f). x² = 2y
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. P²__x² 36 16
Write 9y2 - 54y - 16x2 - 32x = 79 in the standard form for a hyperbola centered at (h, k). Identify the center and the vertices.
Graph the ellipse. Label the foci and the endpoints of each axis. 36 16
A parabolic reflector for a searchlight has a diameter of 4 feet and a depth of 1 foot. How far from the vertex should the filament of the light bulb be located?
The parabola y2 = 4px opens________ if p > 0. and it opens________ if p < 0.
Find the x- and y-intercepts of the ellipse.Vertices (0, ±13) and foci (0, ±12)
The parabola x2 = 4py has a vertical/horizontal axis of symmetry.
Sketch a graph of the parabola. x² = y
The parabola y2 = 4px has a vertical/horizontal axis of symmetry.
Write x2 - 4x + 4y2 + 8y = 8 = 0 in the standard form for an ellipse centered at (h, k). Identify the center and the vertices.
Graph the ellipse. Label the foci and the endpoints of each axis. + 라
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. 4 X 4 || 1
Match the equation with its graph (a-f). y² = -3x
Sketch a graph of the parabola. x² = -y
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. x² - y² = 9
Match the equation with its graph (a-f). b = ₂² + 2x
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. 49²25x²= 1225
Graph the ellipse. Label the foci and the endpoints of each axis. x² + 4y² = 400
Sketch a graph of the parabola. =-X
Sketch a graph of the hyperbola, including the asymptotes. Give the coordinates of the foci and vertices. 9y² - 16x² = 144
Match the equation with its graph (a-f). 36 49 1
Graph the ellipse. Label the foci and the endpoints of each axis. 9x² + 5y² = 45

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