Page 740 - Algebra 1

*10.
( (1 1 0 0 6 6) )
11.
(93)
*12.
( (1 1 0 0 6 6) )
13.
( (1 1 0 0 6 6) )
14.
(105)
*15.
(105)
*16.
(105)
Error Analysis Two students found the solution for a radical equation. Which student is correct? Explain the error.
Jason built a new deck with an area of (-20x + 100 + x2) square feet. The width is (x - 10) feet. What is the length?
Multi-Step A triangular brace is constructed in the shape of a right triangle. The two legs of the brace are √ x + 5 and √x units long.
a. What expression could be used to solve for the length, l, of the third side
of the brace?
b. Simplify the equation so it does not contain any radicals.
c. Find the value of x for which the length of the third side of the brace is equal to 10.
Coordinate Geometry Find the coordinates of the point(s) at which the graphs of y=xandy=√ xintersect.
Find the next 3 terms of the sequence 125, 25, 5, 1.
CarbonDating Scientistscanusetheratioofradioactivecarbon-14tocarbon-12to find the age of organic objects. Carbon-14 has a half-life of about 5730 years, which means that after 5730 years, half the original amount remains. Carbon dating can date objects to about 50,000 years ago, or about 9 half-lives. About what percent of the original amount of carbon-14 remains in objects about 50,000 years old?
Error Analysis Two students find the 5th term in a geometric series that has a common ratio of _1 and a first term of 6. Which student is correct? Explain the error.
Student A
√ x + 7 = 14 √ x = 7
x = 49
Student B
√x + 7 = 14 √x + 49 = 196 √x = 147
x = 21,609
2
Student A
A(n) = arn-1
_1 4
= 6 · (2 )
= _3 8
Student B
A(n) = arn-1 =6·_1 ·4
2 = 12
Solve by graphing on a graphing calculator. Round to the nearest tenth. -11x2 +x=-4
17.
(10 0)
Solve and graph each inequality.
18. ⎢x-4 +15≥21 (101)
19. ⎢x +45≤34 (91)
Lesson 107 725