Page 774 - Algebra 1

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Error Analysis Two students used the quadratic formula to solve a quadratic equation. Which student is correct? Explain the error.
Student A
8a=-10a2 +1 8a-10a2 +1=0
___ x = 10 ± √ 10 0 + 3 2
x = -(-10) ± √-102 - 4(8)(1)
__2(8) 16
x = 10 ± √ 13 2 16
x = 10 ± 2√ 33 16
x = 5 ± √ 33 8
Student B
8a=-10a2 +1 10a2 +8a-1=0
___ 2(10)
x = -8 ± √82 - 4(10)(-1)
x = -8 ± √ 64 + 40 __
20
x = -8 ± √ 10 4 __
20
x = -8 ± 2√ 26 __
20
x = -4 ± √ 26 10
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Space Shuttle The external tank of the space shuttle separates after 8.5 minutes at a velocity of 28,067 kilometers per hour. Can the formula -4.9t2 + v0t + y0 = 0 be used to find the distance above earth? Explain.
Measurement The length of a piece of wood must measure between 15 and
17 centimeters and the width must measure between 9 and 11 centimeters. Write a system of linear inequalities to represent the possible dimensions of the wood piece, in inches, given that 1 inch is equal to 2.54 centimeters.
Business The total profit on a particular skateboard is represented as p2 - 7p where p is the number of units sold in thousands. How many units need to be sold to have a profit of $23,750? Round to the nearest hundred.
Find the next 3 terms of the sequence _1 , _1 , _1 , _1 , ... . 2187 729 243 81
Chemistry Oxygen evaporation from a body of water increases with the temperature_. This process of oxygen depletion can be modeled by the

expression √x where x is the temperature in C°. What value of x corresponds to
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an evaporation of 9 cubic feet of oxygen?
Graph the function f(x) = 3⎢x .
Multiple Choice Which function is not an exponential function? x
x x 3 _1 A y=4(3) B y=-4(3) C y=4x D y=4(3)
Analyze For an exponential function with a = 5 and b = 3, why is it necessary to put parentheses around the 3 when writing the function rule?
Geometry The diagram shows a right triangle with a hypotenuse that is an irrational number. What set of numbers would include the hypotenuse?
√2
1
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Lesson 111 759