Math 114
Solve 1/A=1/m+1/t, for t
mA/m-A
Function? {(-6, -4), (-3, -6), (2, -4), (2, -8)}
no
Graph f, g, and y=x in the same coordinate system and identify each graph
on the quiz
Parallel, perpendicular, or neither 3x-6y=14 18x+9y14
perpendicular
COMPOUND INTEREST How many years, to the nearest year, will it take a sum of the money to double if it is invested at 15% compounded annually?
t~5 years
Analyze the function algebraically. List its vertical asymptote(s), horizontal asymptote, x-intercept, y-intercept, and check if the graph crosses its horizontal asymptote. Sketch a complete graph of the function. f(x)=x+3/x^2+3x-10
vertical asymptotes: -5,2 horizontal asymptotes: -3 x-intercept:none y-intercept: -3/10 Graph on quiz
x^logx=100x
x=100, 0.1
3^x=4
x~1.261
3=1.06^x
x~19 years
Write a slope-intercept m=-3/2, passes through (-2, -2)
y=-3/2x-5
Put the answer in the slope Through (3, -6), perpendicular to -3x-7y=33
y=7/3x-13
Function? {(-1, 7), (2, -2), (6, 7), (9, 9), (10, -4)}
yes
Solve The cost of manufacturing a molded part is related to the quantity produced during a production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $4300. What is the average cost per part?
$8.00 per cent
Find domain f(x)=x^4-2x^3+8/3x^2-20x-63
(-oo, -7/3) U (-7/3, 9) U (9, oo)
Domain g is
(-oo, oo)
Rang of f
(0, 2)
Range g is
(0,oo)
Domain f is
(4,0)
Given that f(x)=x/11-x, find f(-2/5)
-2/57
Use a graphing calculator to find zeros. Round to three decimal places. 3x^2+16x+14=0
-4.23, -1.103
Given that h(x)=4x - sqrx^2-3, find h(-x)
-4x - sqrx^2-3
Solve 49x^2+28x-32=0
-8/49, -24/49
Simplify i^19
-i
Combine log 3^sqrx^5y^7/z^3
1/3[5logx + 7logy - 3logz]
Simplify. Write in a+bi 4+sqr7i/3-9i
12-9sqr7/90 + 36+3sqr7/90i
Solve The function H described by H(x)=2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose humerus is 35.5 cm long.
169.105 cm
Combine logx^2/sqry
2logx- 1/2logy
Given that P(x)= 12x^4 - 7x^3+ 98^2- 63x- 90; and P(-3i)=0, find the remaining roots.
3i, -3i, 145, -131
sqr3x+1=3+sqrx-4
5,8
10x^2=60x
6
Solve by completing the square x^2-12x+52=0
6 +/- 4i
Solve How long would it take an object to fall freely from the top of a tower 1785 ft tall? (Use the formula s=16t^2)
About 10.6 sec
visually estimate its domain and range t(x)=sqr3-x
Domain = (-oo, 3]; range= [0, oo)
h(x)= lxl - 4
Domain = (-oo, oo); range= [-4, oo)
To convert a temperature from degrees Celsius to degrees Fahrenheit, you multiply the temperature in degrees Celsius by 1.8 and then add 32 to the result. Express F as a linear function of c.
F(c)=1.8+32
Combine 2Inx + 5Iny -logz
Inx^2y^5/z
logx-log5=log2-log(x-3)
S.S. = {5}
log2(x^2-2x)=log2(3x-6)
S.S. ={3}
Analyze the function algebraically. List vertical asymptotes, horizontal asymptote, x-intercept, y-intercept, and check if the graph crosses its horizontal asymptote. Sketch a complete graph of the function. f(x)=2x+6/x-3
Vertical asymptote: 3 horizontal: -3,2 x-intercept: 3 y-intercept: -2 Graph on quiz
Let f(x)=sqr(x-4) and g(x)=4+x^2 Verify that f and g are inverses
f(g(x))=x and g(f(x))=x