Deck 8: Solving Nonlinear Equations

Question 1

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 1.32
B) 1.5
C) 2.77
D) 3.24

Answer 1

1.32

Question 2

The equation has the same solution(s) as the equation .

Answer 2

False

Question 3

Linear equations cannot be solved using the crossing-graphs method.

Answer 3

False

Question 4

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 1.47
B) 0.33
C) 0.46
D) 1.97

Question 5

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) 2.41
B) 5.01
C) 6.74
D) 1.05

Question 6

The crossing-graphs method can be used to solve linear equations.

Question 7

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) 5.42
B) 3.64
C) 5.83
D) 4.33

Question 8

The solution(s) of the equation can be found by locating the point(s) where the graph of crosses the horizontal axis.

Question 9

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) 8.07
B) 6.36
C) 5.38
D) 7.13

Question 10

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​​

A) 40.83
B) 39
C) 5.14
D) 3.66

Question 11

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) -3.23
B) -4.36
C) 7.41
D) 6.13

Question 12

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 1.41
B) 2.73
C) 0.19
D) 4.46

Question 13

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 4.87
B) 3.14
C) 2.69
D) 3.99

Question 14

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) 3.09
B) 1.62
C) 1.69
D) 3.47

Question 15

Solve the equation .Restrict your attention to the horizontal span of 0 to 15.Round your answer to two decimal places if necessary. ​

A) 8.17
B) 144
C) 9.91
D) 145.29

Question 16

Solve the equation .Restrict your attention to the horizontal span of 0 to 20.Round your answer to two decimal places if necessary. ​

A) 2.44
B) 1.56
C) 3.76
D) 2.75

Question 17

The solution(s) of the equation can be found by locating the point(s) where the graph of crosses the horizontal line determined by the equation .

Question 18

The solution(s) of the equation can be found by locating the point(s) where the graphs of and cross.

Question 19

The equation has the same solution(s) as the equation .

Question 20

Solve the equation .Restrict your attention to the horizontal span of 0 to 75.Round your answer to two decimal places if necessary. ​

A) 17.33
B) 16
C) 24.42
D) 23.31

Question 21

The weight w, in pounds, of a certain animal at age t years is given by . ​
The formula is valid for ages up to 10 years.What age gives a weight of 11 pounds? Round your answer to two decimal places if necessary.
​

A) That weight is never achieved.
B) 5.93 years
C) 4.13 years
D) 2.49 years

Question 22

The number per day C of customers patronizing a restaurant ​t days after the grand opening is given by . ​
There are two times when 600 customers per day patronize the restaurant.Find both times.Round your answers to the nearest whole number of days.

A) There are never 600 customers per day.
B) and
C) and
D) and

Question 23

There is one positive solution of .Find it.Round your answer to two decimal places if necessary. ​

A) 0.42
B) 1.73
C) 3.67
D) -4

Question 24

Solve the equation .Restrict your attention to the horizontal span of 0 to 5. ​

A) 4.47
B) 6.98
C) 5.49
D) 5.65

Question 25

Solve the equation .Restrict your attention to the horizontal span of 0 to 5. ​

A) 4.61
B) 3.14
C) 1.74
D) 3.21

Question 26

The temperature T, in degrees Fahrenheit, of a cup of coffee t minutes after it is poured is given by ​ .
​
When does the temperature of the coffee reach 150 degrees? Round your answer to two decimal places if necessary.
​

A) After 15.6 minutes
B) After 65.49 minutes
C) After 63.54 minutes
D) After 20.2 minutes

Question 27

Water is being pumped from a tank.The amount W, in gallons, of water remaining in the tank after t hours is given by . ​
How long will it be before there are 1,387 gallons of water left in the tank? Round your answer to two decimal places if necessary.
​

A) After 6.48 hours
B) After 5.33 hours
C) After 3.39 hours
D) After 5.37 hours

Question 28

There are 3 solutions of .Find all three solutions.Round your answers to two decimal places if necessary. ​

A) 3.14, 2.72, -3.14
B) 0, 3.24, -1.24
C) 0, 4, -1.72
D) 0, 1, -1

Question 29

The temperature T, in degrees Fahrenheit, of a roast t minutes after it is placed in the oven is given by ​ .
​
When does the temperature of the roast reach 142 degrees?
​

A) After 131.53 minutes
B) After 86.75 minutes
C) After 129.62 minutes
D) After 90.34 minutes

Question 30

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 2.12
B) 0.75
C) 0.97
D) 2.05

Question 31

Solve the equation .Restrict your attention to the horizontal span of 0 to 10.Round your answer to two decimal places if necessary. ​

A) 5.37
B) 1.79
C) 2
D) 1.54

Question 32

The amount D, in milligrams, of a drug in the bloodstream t minutes after injection is given by . ​
There are two times when there are 7 milligrams of the drug in the bloodstream.Find both times.Round your answer to two decimal places if necessary.

A) There are never 7 milligrams of the drug in the blood.
B) and
C) and
D) and

Question 33

There is one negative solution of .Find it.Round your answer to two decimal places if necessary. ​

A) 0.42
B) -1
C) -2.94
D) -1.95

Question 34

You are running an election campaign.The number ​N, in thousands, of people who have decided to vote for your candidate after t days is given by ​ .
​
You expect your candidate to win if she gets 43 thousand votes.Will you ever expect your candidate to win? If so when will the required number of votes be reached? Round your answer to the nearest whole number of days.
​

A) The required number of votes will never be reached.
B) The required number of votes is reached after 82 days.
C) The required number of votes is reached after 86 days.
D) The required number of votes is reached after 88 days.

Question 35

Solve the equation .Restrict your attention to the horizontal span of 0 to 5.Round your answer to two decimal places if necessary. ​

A) 4.11
B) 2.74
C) 2.8
D) 4.68

Question 36

The profit P, in thousands of dollars, a manufacturer makes if I, measured in thousands, items are produced is given by . ​
The formula is valid for up to 10 thousand items produced.What number of items should be produced to yield a profit of 6 thousand dollars? There are two solutions.Find both of them.Round your answers to two decimal places if necessary.

A) That profit level cannot be achieved.
B) 0.36 thousand and 9.31 thousand
C) 1.44 thousand and 7.63 thousand
D) 7.33 thousand and 8.10 thousand

Question 37

The amount A, in grams, of one radioactive substance remaining after t years is given by . The amount B, in grams, of a second radioactive substance remaining after t years is given by .
When will the amounts remaining of each be the same? Round your answer to two decimal places if necessary.
​

A) After 3.01 years
B) After 14.14 years
C) After 0.46 years
D) After 15.23 years

Question 38

You sell heating oil.Your yearly storage cost C, in dollars, depends on the amount q, in thousands of gallons, of heating oil you order at the beginning of the season.The relationship is ​ .
​
There are two heating oil order sizes that will result in a yearly storage cost of 142 dollars.Find both of them.Round the number of thousand gallons to two decimal places if necessary.
​

A) 2.01 thousand gallons and 8.14 thousand gallons
B) 0.36 thousand gallons and 7.56 thousand gallons
C) 35.12 thousand gallons and 0.38 thousand gallons
D) 37.91 thousand gallons and 37.99 thousand gallons