Tech 155 Week 1 Quiz 3

Tech 155 Week 1 Quiz 3 | excelsior-college

Question 1

Let f(x) = 17x2 - 10x and g(x) = 9x – 9. Find (f∘g)(8)  

9063  

66,843    

57,780  

63,504

Question 2

Consider the graphs of f(x)=x2 and g(x) =x2 + 2. Compared to f(x),  

g(x) is shifted down 2  

g(x) is shifted right 2  

g(x) is shifted up 2    

g(x) is shifted left 2

Question 3

Find the inverse function for the function f(x) = (x+8)3  

f−1(x)=x−−√−8f−1(x)=x−8  

f−1(x)=x−−√3+8f−1(x)=x3+8 

f−1(x)=x−−√3−8f−1(x)=x3−8   

f−1(x)=x−−√3−512f−1(x)=x3−512 

Question 4

Find the inverse of the function f(x)=x+8−−−−√f(x)=x+8  

f-1(x)  = 1/( x2 – 8)  

f-1(x) = x2 + 8    

f-1(x) = x - 8          

f-1(x) = x2 - 8      

Question 5

Let f(x) = 7x + 15 and        g(x) = 5x – 1. Find (f∘g)(x)  

35x + 14  

35x + 8     

35x + 74  

35x + 22 

Question 6

Determine whether the given function is even, odd, or neither: f(x) = x3 - x2  

Odd  

Neither    

Even

Question 7

Solve the equation 3 x3 - 22 x2 + 29x + 30 = 0 given that x=3 is a zero.  

x=3, x=5, x= -2/3  

x=3, x=-2, x=5/3  

x=3, x=2, x= -5/3  

x=3, x=5, x=2/3   

Question 8

Solve 4x2 + 9x + 8 = 0  

−98±i47√8−98±i478     

98±i47√898±i478 

−98±47√8−98±478  

98±i47√898±i478

Question 9

 (x2 + 14x + 45) ÷ (x + 5)  

x3 - 40 

x2 + 9 

x + 9    

x – 40 

Question 10

 (x5 + x3 – 5) / (x+3)  

x4−2+1x+3x4−2+1x+3  

x4−3x3+10x2−30x+90+−275x+3x4−3x3+10x2−30x+90+−275x+3   

x4−2x2+1x+3x4−2x2+1x+3  

x4−3x3+9x2−26x+78+−239x+3x4−3x3+9x2−26x+78+−239x+3

Question 11

Solve: 10+x−−−−−√+11−5x−−−−−−√=−110+x+11−5x=−1  

No solution  

1  

11/2  

0

Question 12

4r+9r−3=4r+9r−3=   

13r−12r(3−r)13r−12r(3−r)  

12r−13r(r−3)12r−13r(r−3)  

12r−13r(3−r)12r−13r(3−r)  

13r−12r(r−3)13r−12r(r−3)  

Question 13

Solve: −2m−3−2m+3=8m2−9−2m−3−2m+3=8m2−9  

-2 

7–√7  

3 

12 

Question 14

Solve: x+6−−−−√+2−x−−−−√=4x+6+2−x=4  

2, -2  

-2    

0  

31−−√31, -2 

Question 15

x2−9x÷7x+21x−3=x2−9x÷7x+21x−3=  

(x−3)2x(x−3)2x  

7(x−3)2x7(x−3)2x  

(x−3)27x(x−3)27x    

7x(x−3)27x(x−3)2

Question 16

A fossil is discovered and it is determined that the fossil contains 13% of its original Carbon-14. If the half-life of Carbon-14 is 5600 years, how old is the fossil? Round to the nearest hundreds place.  

36,000 

16,500   

1100  

20,700

Question 17

Assume logb B= -3. Find logb (B2).  

4  

-6    

9  

-9 

Question 18

An initial investment of $8300 accrues interest compounded continuously at a rate of 6.4%. The amount of money after t years is given by A(t)=8300e0.064t. When will you have $10,056? Round your answer to the nearest tenth  

3.5 years 

3 years   

2 years 

0.3 years 

Question 19

Consider a population in country X which has 22 million people in 2009 and 32 people in 2017. Assuming that the population is growing according to an exponential growth model, A(t)=22ek*t , find k, the growth constant.  

0.057  

0.820  

0.047    

0.288 

Question 20  

1  

3    

-3 

1212