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Solving Three Dimensional Systems

Total questions: 13

Worksheet time: 8mins

Name
Class
Date
1.
Solve for x, y and z.
a)
(2, 1, 6)
b)
(1, -2, 6)
c)
(6, 1, 2)
d)
(-2, 1, 6)
2.
Solve for x, y and z.
a)
(3, 4, 3)
b)
(-3, 4, 3)
c)
(4, 3, -3)
d)
(4, -3. 3)
3.
Solve for x, y and z.
a)
(2, 5, 0)
b)
(-2, 0, -5)
c)
(-2, 0, 5)
d)
(-5, -2, 0)
4.
Solve for x, y and z.
a)
(2, 5, 6)
b)
(6, 5, 2)
c)
(2, 6, 5)
d)
(6, 2, 5)
5.
Solve for x, y and z.
a)
(8, 3, 1)
b)
(3, -8, 1)
c)
(3, 8, 1)
d)
(1, 8, 3)
6.
Write an exponential equation for the above table of data.
a)
y = 1.15(27.2)x
b)
y = 1.15+ln(27.2)
c)
y = 27.2(1.15)x
d)
y = 27.2+ln(1.15)
7.
Write an logarithmic equation for the above table of data.
a)
y = 8.27(40.52)x
b)
y = 40.52(8.27)x
c)
y = 8.27+40.52ln(x)
d)
y = 40.52+8.27ln(x)
8.
How does the regression model predict the the number of organisms after 10 hours compared to the actual number in the table?
a)
Under-Predicts the number
b)
Over-Predicts the number
c)
Predicts the number perfectly
9.
Write an appropriate regression model for the above table.
a)
y = 47.48+2.74ln(x)
b)
y = 2.74(47.48)x
c)
y = 2.74+47.48ln(x)
d)
y = 47.48(2.74)x
10.
Given the standard equation for an exponential, f(x) = a*bx, how does "a" effect the function?
a)
Moves the horizontal asymptote
b)
Moves the initial value
c)
Changes rate which graph increases or decreases
d)
Moves graph left and right
11.
Which of the following statements is true about the graph of the exponential function f(x) = 3(.25)x is true?
a)
The graph is increasing with a horizontal asymptote at y = 0
b)
The graph is decreasing with a horizontal asymptote at x = 0
c)
The graph is increasing exponentially with a vertical asymptote at y = 0
d)
The graph is decreasing exponentially with a horizontal asymptote at y = 0
12.
Identify the function as representing exponential growth or decay.
f(x) = 4(0.89)x
a)
growth
b)
decay
13.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above