Mystery!
Which relation is a function?
A) (-2, 1), (1, 2), (-1, 1), (-2, -1)
B) (1, -3), (-3, 1), (0, -3), (-3, -27)
C) (1, 2), (3, 2), (5, -3), (6, -3)
C
Write a recursive formula and the simplified explicit formula for the following sequence:
-18, -22, -26, -30, -34,...
a_1 = -18
a_n = a_(n-1) - 4
a_n = -14 - 4n
Solve:
-27x + 12y = 21
7x - 12y = 39
(-3, -5)
Two points on a line are located at
(-3, 4) and (-6, -2).
What is the equation of the line in slope-intercept form?
y=2x+10
Write using a rational exponent.
root(9)(10^5)
10^(5/9)
Simplify and write whether your answer is rational or irrational:
sqrt 243
81sqrt3
irrational
Write an recursive formula given the explicit formula, and identify the first term.
a_n = 8 + 20n
a_1 = 28, a_n = a_(n-1) +20
Write the recursive formula for the following sequence:
8, 10, 12.5, 15.625,...
a_1 = 8
a_n = 1.25(a_(n-1))
Write an equation in standard form which passes through the points
(4, 0) and (0, -2).
x - 2y = 4
Simplify:
(625^4)^(1/8)
25
Solve:
-2x - 3/4 (24x - 52) = 6
x = 33/20
Write the simplified explicit formula given the recursive formula:
a_n = a_(n-1) + 8; a_1 = 16
a_n = 8 + 8n
Write the explicit formula for the following sequence:
90, 30, 10, 10/3, 10/9,...
a_n = 90(1/3)^(n-1)
Rewrite the following equation to solve for r:
V = (4pir^3)/3
r=root(3)((3V)/(4pi))
Evaluate with positive exponents:
27^(1/6)/27^(1/2)
1/3
What are the x-intercept and y-intercept of the linear equation?
y- 4=3/4 (x-2)
(0, 5/2)
(-10/3, 0)
Write an explicit formula for the sequence:
3, 3.6, 4.32, 5.184,...
a_n = 3(1.2)^(n-1)
Solve:
y = -1/2 x + 2
y = 3/4 x - 6
(32/5, -6/5) or (6.4, -1.2)
A lawyer charges a fixed amount for a consultation plus an hourly fee. 5 hours cost $110, 10 hours cost $180, 20 hours cost $320, and 30 hours cost $460. Write a linear function to find the cost of the lawyer.
f(x) = $14x + $40
Write using rational exponents.
4root(3)(16)
4^(5/3)
Solve:
|x-9| - 5 = -1
x = 13 or 5
Write the recursive formula for the sequence:
9, 9.9, 10.89, 11.979, ...
a_1 = 9
a_n = 1.1(a_(n-1))
What are the domain and range in set notation, what is the equation of the asymptote, and what are the coordinates of the y-intercept?
f(x) = 6^x
Domain {x E R|-oo<x<oo} or all real numbers
Range {y E R|y>0}
Asymptote: y = 0
y-intercept: (0, 1)
Find the equation of a line perpendicular to the given line passing through the point (-1, 4) in slope-intercept form. Then, convert slope-intercept form into point-slope form.
2x - y = -6
y = -1/2 x + 7/2
y-4 = -1/2 (x+1)
Write using rational exponents.
root(3)(9) * sqrt81
9^(4/3)