Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.
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a. Make a plot of the data and explain why a linear model is not appropriate.
b. Use regression to find a linear model for the years
c. Use regression to find a linear model for the years
d. Write a formula for a model of the number, in millions, graduating as a piecewise-defined function using the linear models from part b and part c.
e. Make a graph of the formula you found in part d.
f. The number graduating in
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Chapter 5 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Solve the system of equation for y using Cramer's rule. Hint: The determinant of the coefficient matrix is -23. - 5x + y − z = −7 2x-y-2z = 6 3x+2z-7arrow_forwarderic pez Xte in z= Therefore, we have (x, y, z)=(3.0000, 83.6.1 Exercise Gauss-Seidel iteration with Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i Tol=10 to solve the following systems: 1. 5x-y+z = 10 2x-8y-z=11 -x+y+4z=3 iteration (x Assi 2 Assi 3. 4. x-5y-z=-8 4x-y- z=13 2x - y-6z=-2 4x y + z = 7 4x-8y + z = -21 -2x+ y +5z = 15 4x + y - z=13 2x - y-6z=-2 x-5y- z=-8 realme Shot on realme C30 2025.01.31 22:35 farrow_forwardUse Pascal's triangle to expand the binomial (6m+2)^2arrow_forward
- Listen A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 112 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardSolve by the quadratic formula or completing the square to obtain exact solutions. 2 e 104 OA) -16±3√6 B) 8±√10 O c) -8±√10 OD) 8±3√√6 Uarrow_forwardQuestion 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 inarrow_forward
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