Page 783 - Algebra 1
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Analyze What inequality symbols should go into the boxes so that the solution set lies between the lines and does not include the boundary points?
y _3 x + 7 5
y _3 x + 1 5
Find the zeros of the function y = x2 - 6x - 72. Graph the inequality 4x - y ≤ -5.
Multi-Step A girl takes 4 hours to complete a job. Her mother can complete the same job in 3 hours. Her little sister takes 6 hours to complete it.
a. Write an equation representing how long it takes the three of them to complete
the job working together.
b. How long will it take to complete the job, in hours, if all three famiy members work together?
c. How many minutes is that?
Biking DustinandRobertoleavetheirhouseatthesame
time. Dustin rides his bike 49 feet east. Roberto rides his bike 81 feet south. Use the formula (49)2 + (81)2 = x2 to find the distance between Dustin and Roberto.
x 81 ft
49 ft
Formulate In the system y = x2 - 3, a is a real number. What is the minimum value y=a
of a so that the system will have two solutions?
Multi-Step A race-car driver is driving at a rate of √ 10 ,80 0 miles per hour. How long does it take the driver to go 85 miles? Give the answer as a rational expression in simplest form. (Hint: distance = rate times time)
a. Write the equation to find the driver’s travel time using the given values.
b. Find the solution.
Write Tell how to remove any coefficients of the x2-term in a quadratic equation
before completing the square.
Describe the transformation of f (x) = -x2 + 2 from the parent quadratic function.
Charlotte invested $1000 in an account that doubles her balance every 7 years. Does this situation model exponential growth or decay? Express the function that represents this situation. After 42 years, how many times will her balance have doubled? What will that balance be after 42 years?
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Saxon Algebra 1