Download This question is due on today sorry for the late notice Post a

This question is due on today sorry for the late notice
Post a response to the following to the Grade book (your responses must be in a word
document!):
o If you are looking at a graph of a quadratic equation, how do you determine where the
solutions are?
o What are the solutions to the equation (x – 2)(x + 4) = 0?
Below question are due Sunday the 15th of august.
1. What is the solution (type exact answers, using radicals as needed. Rationalize all
denominators. Express complex numbers in terms of i. Use a comma to separate answers as
needed.
x2 +
𝑥=
13
x
2
= 13
−13 − √377 −13 + √377
,
4
4
𝑥 ≈ −8.104, 1.604
2. Give exact and approximate solution to three decimal places.
What are the exact solutions (Type exact answers, using radicals as needed. Rationalize all
denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.
(x - 2)2 = 16
x = -2, 6
3. a. Solve 5x + x (x -2) = 0
x = 0 or x = -3
b. find the x – intercepts of f(x) = 5x + x(x-2)
(0, 0) and (-3, 0)
4. The width of a rectangle is 1 ft less than the length. The area is 2 ft2. Find the Length and the
width.
The width is 1 ft
The length is 2 Ft
5. f(x) = 1/5 (x + 4)2 + 5
(-4, 5)
6. f(x) = -3 (x +2)2
(-2, 0)
the vertex is (type an ordered pair)
the vertex is
( type an order pair)
7. The number of tickets sold each day for an upcoming performance of Handel’s Messiah is given
by N(x) = -0.4x2 + 8.8x + 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 11 days after the concert was first announced.
The number of tickets sold on that day will be? (Round to the nearest integer) 58
8. Solve for x
x2 + 72 = 12x
a. The solutions are? -6-6i and -6+6i
b. There is no solution
(Simplify your answer. Type your answer in the form a = bi. Use a comma to separate answers as
needed).
9. x2 – x + 5 = 0
The equation has
a. Two real solutions.
b. one real solution
c. Two non-real solutions.
10. Give exact and approximate solution to three decimal places
x2 + 5x – 7 = 0
The exact solutions are x =
−5−√53 −5+√53
, 2
2
The approximate solution to 3 decimal places are x = -6.140, 1.140
(Use a comma to separate answers)
11. Determine the nature of the solution of the equation
x2 + 7 = 0
a. 1 real solution.
b. 2 imaginary solutions
c. 2 real solutions.
12. find the vertex, f(x) = - 2x2 + 2x + 5
1 11
( , )
2 2
13. find the vertex, F(x) = -x2 + 2x + 6
(1, 7)
14. give exact and approximate solution to three decimal places
y2 – 14y + 49 = 16
y = -11, -3
15. A student opens a mathematics book to two facing pages. The product of the page number is
342. find the page number
The first page is 18
The second age is 19
16. find the vertex
(5, 3)
f(x) = 4x2 – 40x + 103 (type an ordered pair)
17. a. Solve 4x2 = 20 and find the w-intercepts of 4x2 – 20
a. What are the solutions? √5 𝑎𝑛𝑑 √5
x = – √5, √5
b. what are the x-intercepts are?
a. the x-intercepts are (−√5, 0) 𝑎𝑛𝑑 (√5, 0)
b. there are no x-intercepts.
18. Find the x-intercepts and y-intercepts
F(x) = -x2 + 4x + 21
The x- coordinates of the intercepts are x = (7, 0) and (-3,0)
The y –intercept is? (0, 21)
18. Solve the formula for the given letter. Assume all variables represent nonnegative numbers
a2 + m2 = j2, for a = √𝑗 2 − 𝑚2
19. Write a quadratic equation in the variable x having the given number as solutions. type the
equation in standard form, ax2 + bx +c = 0
The solution are -9, 5
The equation is x²+4x-45 = 0
20. Find the vertex.
f(x) = - ¼ x2
the vertex is (0, 0)