Homework Answers
6. (5 pts) (a) Find at least two pairs of x and y. (b) Graph the...
6. (5 pts) (a) Find at least two pairs of x and y. (b) Graph the linear equation. 7. (5 pts) (a) Find at least two pairs of x and y. (b) Graph the linear equation.
6. Given the equation: y = x2 + 4x + 3 a. (3 pts) Find the...
6. Given the equation: y = x2 + 4x + 3 a. (3 pts) Find the vertex b. (3 pts) Find two other points on the parabola and graph the equation on the grid below 7. (4 pts) Graph the following linear equation on the grid below: y = x-5 3
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the...
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the solution region for the two inequalities. y > 22 - 3x - 6 and y> 2x2 + 7x + 6 Question 7: Solve the inequality algebraically and show the solution in interval form. x² + 2x - 3 > 0 Question 8: Solve the inequality algebraically and show the solution in interval form. 2x2 - 6x - 9> 11
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y =...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
3. Find the points of intersection of the pairs of curves a. y = x² +3;...
3. Find the points of intersection of the pairs of curves a. y = x² +3; y = 3x +1 b. 2x² +2 y2 = 5; xy = 1 4. Identify and sketch the curve represented by the given equation. x? - + y2 = 1 a. 4 (y+1) 4 b. (x - 1)? + 4 c. x² - y2 =-1
15. Find the equation of the line parallel to y = -5/2 x + 6 that...
15. Find the equation of the line parallel to y = -5/2 x + 6
that passes through the point (-2,1)
16. Find the equation of the line that passes through (4,5)
and that is perpendicular to the line y = 3/2 x -4
17. The figure to the side represents a sidewalk structure.
measurements are in meters. If beam A is perpendicular to beam B,
find the size of beam C.
18. For each of the following equations, determine...
Use the following 4 (x, y) pairs to find the equation of the least squares regression...
Use the following 4 (x, y) pairs to find the equation of the least squares regression line. x 2 3 5 6 y 5 9 10 12 Round the first answer (constant) to 0 decimal places (integer) and the second answer (slope) to 1 decimal place. ? * ? Based on the above equation, what is the predicted value of y if x = 10? Round answer to 0 decimal places (integer). ?
(a) Suppose you are given the following (x, y) data pairs. x 1 2 6 y...
(a) Suppose you are given the following (x, y) data pairs. x 1 2 6 y 4 3 7 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (b) Now suppose you are given these (x, y) data pairs. x 4 3 7 y 1 2 6 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (c) In the data for parts...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
6. (5 pts) (a) Find at least two pairs of x and y. (b) Graph the linear equation. 7. (5 pts) (a) Find at least two pairs of x and y. (b) Graph the linear equation.
6. Given the equation: y = x2 + 4x + 3 a. (3 pts) Find the vertex b. (3 pts) Find two other points on the parabola and graph the equation on the grid below 7. (4 pts) Graph the following linear equation on the grid below: y = x-5 3
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the solution region for the two inequalities. y > 22 - 3x - 6 and y> 2x2 + 7x + 6 Question 7: Solve the inequality algebraically and show the solution in interval form. x² + 2x - 3 > 0 Question 8: Solve the inequality algebraically and show the solution in interval form. 2x2 - 6x - 9> 11
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
3. Find the points of intersection of the pairs of curves a. y = x² +3; y = 3x +1 b. 2x² +2 y2 = 5; xy = 1 4. Identify and sketch the curve represented by the given equation. x? - + y2 = 1 a. 4 (y+1) 4 b. (x - 1)? + 4 c. x² - y2 =-1
15. Find the equation of the line parallel to y = -5/2 x + 6
that passes through the point (-2,1)
16. Find the equation of the line that passes through (4,5)
and that is perpendicular to the line y = 3/2 x -4
17. The figure to the side represents a sidewalk structure.
measurements are in meters. If beam A is perpendicular to beam B,
find the size of beam C.
18. For each of the following equations, determine...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
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