Discuss the below:
1. a. Solve 8x+x(x-4)=0
b. Find the x-intercepts of f(x)=8x+x(x-4)
a. What are the solutions?
b. What are the x-intercepts?
2. Determine the nature of the solutions of the equation
3. Find and label the vertex and the line of symmetry. Graph the function
f(x)-1x2/3
The vertex is
(Type and ordered pair.)
The equation of the line of symmetry is x =
Graph f(x)
4. The width of a rectangle is 3 ft less than the length. The area is 4 ft . Find the length and the width.
5. For the scatterplot, determine which of the following types of functions might be used as a model for the data
6. Find and label the vertex and the line of symmetry. Graph the function
f(x)=(2x-1)2
The vertex is
(Type an ordered pair.)
The equation of the line of symmetry is x =
Graph the function.
7. A student opens a mathematics book to two factoring pages. The product of the page number is 1980. Find the page numbers
The first page is
The second page is
8. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and then graph the function.
f(x)=x2-10x-4
What is the vertex?
(Type an ordered pair.)
What is the equation of the line of symmetry?
What is the max/min of f(x)?
Is the value f(5)=-29 a minimum or a maximum?
Graph f(x)
9. Solve by completing the square.
m2-9m/2=3/2
10. Determine the nature of the solutions of the equation
x2-11=0
Choose the nature of the solutions of the equation.
a. 1 real solution
b. 2 imaginary solutions
c. 2 real solutions
11. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and then graph the function.
f(x)=5-x2
What is the vertex?
(Type an ordered pair.)
What is the equation of the line of symmetry?
What is the max/min of f(x)?
Is the value,f(-5)=1 a minimum or a maximum
Graph f(x)
12. Find the vertex, the line of symmetry, and the max or min value of f(x). Graph the function
f(x)=-4(x+5)2+1
The vertex is?
(Type an ordered pair.)
The line of symmetry is x =
The max/min value of f(x) is
Is the value, a min or a max
Graph f(x)
13. Give exact and approximate solutions to three decimal places.
x2+3x-5=0
14. Find the x-intercepts and y-intercepts.
f(x)=-x2+4x+45
15. Write a quadratic equation having the given numbers as solutions. -11 and -9
16. The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x2+9.6x+10 , where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Ticket sales will peak ? days after the concert was first announced.
The number of tickets sold on that day will be?
(Round to the nearest integer.)
17. Give exact and approximate solutions to three decimal places.
x2+8x+16=49
18. Solve 4x2 =20
Find the x-intercepts of f(x)=4x2 =20
19. Find the vertex, the line of symmetry, the max/min value of the quadratic function, and graph the function.
f(x)=2x2-8x+4
What is the vertex?
(Type an ordered pair.)
What is the equation of the line of symmetry?
What is the max/min of f(x)
Is the value f(x)=-4 a minimum or a maximum.
Graph f(x)
20. Solve for x
x2-x-2=0
21. Find the vertex, the line of symmetry, and the max/min value of f(x). Graph the function.
f(x)=-(x+3)2-5
The vertex is
(Type an ordered pair.)
The line of symmetry is x =
The max/min value of f(x) is?
The value is f(-3)=-5 is minimum or maximum
22. Give exact and approximate solutions to three decimal places. What are the exact solutions?
X=(x+5)2=16
23. Solve the formula for the given letter. Assume all variables represent non-negative numbers.
E=mc2, for c