Question 1

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval $[ - 1,7 ]$.

Accepted Answer

A)  $x = 1.00 , x = 5.00 , x = 3.50$ 
B)  $x = 1.00 , x = 5.00 , x = 6.00$ 
C)  $x = 0.50 , x = 5.50 , x = 3.50$ 
D)  $x = 1.00 , x = 5.50 , x = 6.00$ 
E)  $x = 0.50 , x = 5.00 , x = 6.00$ 
A)  $x = 1.00 , x = 5.00 , x = 3.50$ 
B)  $x = 1.00 , x = 5.00 , x = 6.00$ 
C)  $x = 0.50 , x = 5.50 , x = 3.50$ 
D)  $x = 1.00 , x = 5.50 , x = 6.00$ 
E)  $x = 0.50 , x = 5.00 , x = 6.00$

Question 2

Write an equation for the line with an x-intercept of -4 and y-intercept of 16.

Accepted Answer

The answer of Write an equation for the line with...

Question 3

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $$[ - 7,6 ]$$

Accepted Answer

A)  $x = - 2.19 , x = 3.19$ 
B)  $x = - 2.17$ 
C)  $x = 3.19$ 
D)  $x = 3.17$ 
E)  $x = - 2.17 , x = 3.17$ 
A)  $x = - 2.19 , x = 3.19$ 
B)  $x = - 2.17$ 
C)  $x = 3.19$ 
D)  $x = 3.17$ 
E)  $x = - 2.17 , x = 3.17$

Question 4

The loudness L of a sound (measured in decibels, dB) is inversely proportional to the square of the distance d from the source of the sound. A person who is 10 ft from a lawn mower experiences a sound level of 70 dB. How loud is the lawn mower when the person is 25 ft away?

Accepted Answer

The answer of The loudness L of a sound (measured...

Question 5

Draw the graph. $$y = x ( x + 9 ) ( x - 4 )$$

Accepted Answer

A) 
  
B) 
  
C) 
  
A) 
  
B) 
  
C)

Question 6

Find the slope and y-intercept for the line x + y = 7 and draw its graph.

Accepted Answer

A)  $m = - 2 , b = 0$
  
B)  $m = 1 , b = 7$
  
C)  $m = - 1 , b = 7$
  
A)  $m = - 2 , b = 0$
  
B)  $m = 1 , b = 7$
  
C)  $m = - 1 , b = 7$

Question 7

Write an equation for the line passing through the point (-1,2) and the point (3,-4).

Accepted Answer

The answer of Write an equation for the line passing...

Question 8

The cost C of printing a magazine is jointly proportional to the number of pages p in the magazine and the number of magazines printed m
a)Write an equation that expresses this joint variation
b)Find the constant of proportionality if the printing cost is $120,000 for 4000 copies of a 120-page magazine
c)How much would the printing cost be for 2500 copies of an 85-page magazine?

Accepted Answer

a) @#LAT-DLM& 
;
b)

Question 9

Find the midpoint of the segment joining the points (7, -6) and (15, -2).

Accepted Answer

A)  $( 4,11 )$ 
B)  $( - 8,4 )$ 
C)  $( 11 , - 4 )$ 
D)  $( - 4 , - 10 )$ 
E)  $( 22 , - 8 )$ 
A)  $( 4,11 )$ 
B)  $( - 8,4 )$ 
C)  $( 11 , - 4 )$ 
D)  $( - 4 , - 10 )$ 
E)  $( 22 , - 8 )$

Question 10

Determine the sketch of the region given by the set. $$\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$$

Accepted Answer

A) 
  
B) 
  
C) 
  
A) 
  
B) 
  
C)

Question 11

Find the equation of the circle with radius 4 and center (-2, -3).

Accepted Answer

The answer of Find the equation of the circle with...

Question 12

Determine the equation that expresses B is proportional to R and inversely proportional to t.Symbols a, b, and c are constants.

Accepted Answer

A)  $B = b \frac { t } { R }$ 
B)  $B = a R$ 
C)  $B = c \frac { R } { t }$ 
D)  $B = c t \frac { R } { t }$ 
E)  $B = \frac { R } { t }$ 
A)  $B = b \frac { t } { R }$ 
B)  $B = a R$ 
C)  $B = c \frac { R } { t }$ 
D)  $B = c t \frac { R } { t }$ 
E)  $B = \frac { R } { t }$

Question 13

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,0 ] \text { by } [ - 15,15 ]$

Accepted Answer

They do not intersec

Question 14

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation $$c = 0.0417 D ( a + 1 )$$ 
Suppose the dosage for an adult is 400 mg
a) Find the slope. What does it represent?
b) What is the dosage for a newborn?

Accepted Answer

(a) 16.68; the slope

Question 15

Write an equation that expresses the statement.y varies inversely as G.

Accepted Answer

The answer of Write an equation that expresses the statement.y...

Question 16

Determine the correct equation for the line passing through the point $( 5 , - 8 )$ and parallel to the line $x + 5 y = 20$.

Accepted Answer

A)  $y = 5 x + 7$ 
B)  $y = - \frac { 1 } { 5 } x - 7$ 
C)  $y = \frac { 1 } { 5 } x + 7$ 
D)  $y = 5 x - 7$ 
E)  $y = - \frac { 1 } { 5 } x - 5$ 
A)  $y = 5 x + 7$ 
B)  $y = - \frac { 1 } { 5 } x - 7$ 
C)  $y = \frac { 1 } { 5 } x + 7$ 
D)  $y = 5 x - 7$ 
E)  $y = - \frac { 1 } { 5 } x - 5$

Question 17

If M(3, 4) is the midpoint of the line segment AB, and if A has coordinates (1, 2), find the coordinates of B.

Accepted Answer

A)  $( 5,6 )$ 
B)  $( 5 , - 6 )$ 
C)  $( - 5 , - 4 )$ 
D)  $( - 3 , - 5 )$ 
E)  $( - 5,6 )$ 
A)  $( 5,6 )$ 
B)  $( 5 , - 6 )$ 
C)  $( - 5 , - 4 )$ 
D)  $( - 3 , - 5 )$ 
E)  $( - 5,6 )$

Question 18

Express the statement M varies directly as x and inversely as y as a formula.Use the information that if x = -20 and y = 4 then M = -25 to find the constant of proportionality

Accepted Answer

A)  9 
B)  5 
C)  15 
D)  7 
E)  6 
A)  9 
B)  5 
C)  15 
D)  7 
E)  6

Question 19

Draw the graph. $$y = x ( x + 9 ) ( x - 4 )$$

Accepted Answer

A) 
  
B) 
  
C) 
  
A) 
  
B) 
  
C)

Question 20

Which of the points A(6, 7) or B(5, 8) is closer to the origin?

Accepted Answer

The answer of Which of the points A(6, 7) or...

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval $[ - 1,7 ]$ .

Write an equation for the line with an x-intercept of -4 and y-intercept of 16.

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $[ - 7,6 ]$

The loudness L of a sound (measured in decibels, dB) is inversely proportional to the square of the distance d from the source of the sound. A person who is 10 ft from a lawn mower experiences a sound level of 70 dB. How loud is the lawn mower when the person is 25 ft away?

Draw the graph. $y = x ( x + 9 ) ( x - 4 )$

Find the slope and y-intercept for the line x + y = 7 and draw its graph.

Write an equation for the line passing through the point (-1,2) and the point (3,-4).

Find the midpoint of the segment joining the points (7, -6) and (15, -2).

Determine the sketch of the region given by the set. $\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$

Find the equation of the circle with radius 4 and center (-2, -3).

Determine the equation that expresses B is proportional to R and inversely proportional to t.Symbols a, b, and c are constants.

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,0 ] \text { by } [ - 15,15 ]$

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation $c = 0.0417 D ( a + 1 )$ Suppose the dosage for an adult is 400 mg a) Find the slope. What does it represent? b) What is the dosage for a newborn?

Write an equation that expresses the statement.y varies inversely as G.

Determine the correct equation for the line passing through the point $( 5 , - 8 )$ and parallel to the line $x + 5 y = 20$ .

If M(3, 4) is the midpoint of the line segment AB, and if A has coordinates (1, 2), find the coordinates of B.

Express the statement M varies directly as x and inversely as y as a formula.Use the information that if x = -20 and y = 4 then M = -25 to find the constant of proportionality

Draw the graph. $y = x ( x + 9 ) ( x - 4 )$

Which of the points A(6, 7) or B(5, 8) is closer to the origin?

Equations and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Exam 2: Functions

Solve the equation x3−12x2+41x−30=0x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0x3−12x2+41x−30=0 graphically in the interval [−1,7][ - 1,7 ][−1,7] .

Write an equation for the line with an x-intercept of -4 and y-intercept of 16.

Solve the equation x−x+7=0x - \sqrt { x } + 7 = 0x−x​+7=0 graphically in the interval [−7,6][ - 7,6 ][−7,6]

The loudness L of a sound (measured in decibels, dB) is inversely proportional to the square of the distance d from the source of the sound. A person who is 10 ft from a lawn mower experiences a sound level of 70 dB. How loud is the lawn mower when the person is 25 ft away?

Draw the graph. y=x(x+9)(x−4)y = x ( x + 9 ) ( x - 4 )y=x(x+9)(x−4)

Find the slope and y-intercept for the line x + y = 7 and draw its graph.

Write an equation for the line passing through the point (-1,2) and the point (3,-4).

Find the midpoint of the segment joining the points (7, -6) and (15, -2).

Determine the sketch of the region given by the set. {(x,y)∣x≥−3 and y<0}\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}{(x,y)∣x≥−3 and y<0}

Find the equation of the circle with radius 4 and center (-2, -3).

Determine the equation that expresses B is proportional to R and inversely proportional to t.Symbols a, b, and c are constants.

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? y=x3−3x,y=x+6;[−4,0] by [−15,15]y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,0 ] \text { by } [ - 15,15 ]y=x3−3x,y=x+6;[−4,0] by [−15,15]

Write an equation that expresses the statement.y varies inversely as G.

Determine the correct equation for the line passing through the point (5,−8)( 5 , - 8 )(5,−8) and parallel to the line x+5y=20x + 5 y = 20x+5y=20 .

If M(3, 4) is the midpoint of the line segment AB, and if A has coordinates (1, 2), find the coordinates of B.

Express the statement M varies directly as x and inversely as y as a formula.Use the information that if x = -20 and y = 4 then M = -25 to find the constant of proportionality

Draw the graph. y=x(x+9)(x−4)y = x ( x + 9 ) ( x - 4 )y=x(x+9)(x−4)

Which of the points A(6, 7) or B(5, 8) is closer to the origin?

Equations and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Solve the equation $x ^ { 3 } - 12 x ^ { 2 } + 41 x - 30 = 0$ graphically in the interval $[ - 1,7 ]$ .

Solve the equation $x - \sqrt { x } + 7 = 0$ graphically in the interval $[ - 7,6 ]$

Draw the graph. $y = x ( x + 9 ) ( x - 4 )$

Determine the sketch of the region given by the set. $\{ ( x , y ) \mid x \geq - 3 \text { and } y < 0 \}$

Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? $y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,0 ] \text { by } [ - 15,15 ]$

Determine the correct equation for the line passing through the point $( 5 , - 8 )$ and parallel to the line $x + 5 y = 20$ .

Draw the graph. $y = x ( x + 9 ) ( x - 4 )$