Question 1

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Accepted Answer

The answer of Evaluate the expression. \(\frac { - (...

Question 2

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

Accepted Answer

A)  $\left\{ \frac { 2 \pm \sqrt { 3 } } { 3 } \right\}$ 
B)  $\left\{ - \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}$ 
D)  $\left\{ \frac { 2 \pm \sqrt { 2 } } { 3 } \right\}$ 
A)  $\left\{ \frac { 2 \pm \sqrt { 3 } } { 3 } \right\}$ 
B)  $\left\{ - \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } \pm \frac { i \sqrt { 2 } } { 3 } \right\}$ 
D)  $\left\{ \frac { 2 \pm \sqrt { 2 } } { 3 } \right\}$

Question 3

Why do the inequalities $x ^ { 2 } - 4 x - 21 \geq 0$ and $\frac { x - 7 } { x + 3 } \geq 0$ not have the same solution set?

Accepted Answer

The solution set of @#IMG-DLM& is @#IMG-DLM& . The

Question 4

Solve the equation. $4 x ^ { 2 } - 4 x = 5$

Accepted Answer

The answer of Solve the equation. \(4 x ^ {...

Question 5

Use completing the square to solve the equation. $g ^ { 2 } + g - 2 = 0$

Accepted Answer

The answer of Use completing the square to solve the...

Question 6

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$  
a= __________ b= __________ c= __________

Accepted Answer

The answer of For the following quadratic equation, find a...

Question 7

A farmer wants to fence in three sides of a rectangular field with 300 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be maximum, find the dimensions of the field.   __________ ft by __________ ft

Accepted Answer

The answer of A farmer wants to fence in three...

Question 8

Graph the inequality. $\log _ { 5 } 3$

Accepted Answer

The answer of Graph the inequality. \(\log _ { 5...

Question 9

For $2.4 x ^ { 2 } - 4.3 x - 1.3 = 0$ , write an equivalent quadratic equation that will be easier to solve. Do not solve the equation.

Accepted Answer

The answer of For \(2.4 x ^ { 2 }...

Question 10

The cost C in dollars of operating a machine is related to the number of minutes n the machine is run by the function $C ( n ) = 4.8 n ^ { 2 } - 192 n + 426$ . For what number of minutes is the cost of running the machine a minimum?

Accepted Answer

The answer of The cost C in dollars of operating...

Question 11

Solve by quadratic formula: $3 x ^ { 2 } - 4 x + 3 = 0$

Accepted Answer

A)  $\left\{ - \frac { 2 } { 3 } \pm \frac { \sqrt { 5 } } { 3 } \right\}$ 
B)  none of these 
C)  $\left\{ \frac { 2 } { 3 } \pm \frac { \sqrt { 5 } } { 3 } i \right\}$ 
D)  $\left\{ \frac { 2 } { 3 } \pm \frac { 2 \sqrt { 5 } } { 3 } i \right\}$ 
A)  $\left\{ - \frac { 2 } { 3 } \pm \frac { \sqrt { 5 } } { 3 } \right\}$ 
B)  none of these 
C)  $\left\{ \frac { 2 } { 3 } \pm \frac { \sqrt { 5 } } { 3 } i \right\}$ 
D)  $\left\{ \frac { 2 } { 3 } \pm \frac { 2 \sqrt { 5 } } { 3 } i \right\}$

Question 12

The __________ coefficient of $x ^ { 2 } - 12 x + 36 = 0$ is 1, and the __________ term is 36.

Accepted Answer

The answer of The __________ coefficient of \(x ^ {...

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

Why do the inequalities $x ^ { 2 } - 4 x - 21 \geq 0$ and $\frac { x - 7 } { x + 3 } \geq 0$ not have the same solution set?

Solve the equation. $4 x ^ { 2 } - 4 x = 5$

Use completing the square to solve the equation. $g ^ { 2 } + g - 2 = 0$

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$ a= b= c= __

A farmer wants to fence in three sides of a rectangular field with 300 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be maximum, find the dimensions of the field. ft by ft

Graph the inequality. $\log _ { 5 } 3$

For $2.4 x ^ { 2 } - 4.3 x - 1.3 = 0$ , write an equivalent quadratic equation that will be easier to solve. Do not solve the equation.

The cost C in dollars of operating a machine is related to the number of minutes n the machine is run by the function $C ( n ) = 4.8 n ^ { 2 } - 192 n + 426$ . For what number of minutes is the cost of running the machine a minimum?

Solve by quadratic formula: $3 x ^ { 2 } - 4 x + 3 = 0$

The coefficient of $x ^ { 2 } - 12 x + 36 = 0$ is 1, and the term is 36.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 8: Quadratic Equations, Functions, and Inequalities

Evaluate the expression. −(−1)±(−1)2−4(2)(−7)2(2)\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }2(2)−(−1)±(−1)2−4(2)(−7)​​

Solve 3x2−4x=−23 x ^ { 2 } - 4 x = - 23x2−4x=−2 by the quadratic formula.

Why do the inequalities x2−4x−21≥0x ^ { 2 } - 4 x - 21 \geq 0x2−4x−21≥0 and x−7x+3≥0\frac { x - 7 } { x + 3 } \geq 0x+3x−7​≥0 not have the same solution set?

Solve the equation. 4x2−4x=54 x ^ { 2 } - 4 x = 54x2−4x=5

Use completing the square to solve the equation. g2+g−2=0g ^ { 2 } + g - 2 = 0g2+g−2=0

For the following quadratic equation, find a , b and c . 8x2−x=118 x ^ { 2 } - x = 118x2−x=11 a= __________ b= __________ c= __________

A farmer wants to fence in three sides of a rectangular field with 300 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be maximum, find the dimensions of the field. __________ ft by __________ ft

Graph the inequality. log⁡53\log _ { 5 } 3log5​3

For 2.4x2−4.3x−1.3=02.4 x ^ { 2 } - 4.3 x - 1.3 = 02.4x2−4.3x−1.3=0 , write an equivalent quadratic equation that will be easier to solve. Do not solve the equation.

The cost C in dollars of operating a machine is related to the number of minutes n the machine is run by the function C(n)=4.8n2−192n+426C ( n ) = 4.8 n ^ { 2 } - 192 n + 426C(n)=4.8n2−192n+426 . For what number of minutes is the cost of running the machine a minimum?

Solve by quadratic formula: 3x2−4x+3=03 x ^ { 2 } - 4 x + 3 = 03x2−4x+3=0

The __________ coefficient of x2−12x+36=0x ^ { 2 } - 12 x + 36 = 0x2−12x+36=0 is 1, and the __________ term is 36.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

Why do the inequalities $x ^ { 2 } - 4 x - 21 \geq 0$ and $\frac { x - 7 } { x + 3 } \geq 0$ not have the same solution set?

Solve the equation. $4 x ^ { 2 } - 4 x = 5$

Use completing the square to solve the equation. $g ^ { 2 } + g - 2 = 0$

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$ a= b= c= __

A farmer wants to fence in three sides of a rectangular field with 300 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be maximum, find the dimensions of the field. ft by ft

Graph the inequality. $\log _ { 5 } 3$

For $2.4 x ^ { 2 } - 4.3 x - 1.3 = 0$ , write an equivalent quadratic equation that will be easier to solve. Do not solve the equation.

The cost C in dollars of operating a machine is related to the number of minutes n the machine is run by the function $C ( n ) = 4.8 n ^ { 2 } - 192 n + 426$ . For what number of minutes is the cost of running the machine a minimum?

Solve by quadratic formula: $3 x ^ { 2 } - 4 x + 3 = 0$

The coefficient of $x ^ { 2 } - 12 x + 36 = 0$ is 1, and the term is 36.