Question

PLEASE ANYONE I REALLY NEED TO GET DONE there will definitely be a reward for helping!

Answer 1

[9.05] How many and of what type are the solutions to x2 + 10x + 25 = 0?

No real solutions
Two identical rational solutions
Two different rational solutions
Two irrational solutions
15. [9.05] What are the exact solutions of x2 + 5x + 2 = 0?

x = the quantity of negative 5 plus or minus the square root of 33 all over 2
x = the quantity of 5 plus or minus the square root of 33 all over 2
x = the quantity of negative 5 plus or minus the square root of 17 all over 2
x = the quantity of 5 plus or minus the square root of 17 all over 2
16. [9.05] Solve 2x2 + 5x + 5 = 0. Round solutions to the nearest hundredth.

No real solutions
x ≈ −3.27 and x ≈ 0.77
x ≈ −2.98 and x ≈ −7.02
x ≈ −0.77 and x ≈ 3.27
17. [9.05] What are the approximate solutions of 3x2 − 5x = 3 rounded to the nearest hundredth?

No real solutions
x ≈ −1.41 and x ≈ 6.41
x ≈ −0.47 and x ≈ 2.14
x ≈ −2.14 and x ≈ 0.47
18. [9.06] Katie wants to hang a painting in a gallery but the painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined?


4x2 + 26x + 45 = 0
4x2 + 26x − 3 = 0
x2 + 13x − 3 = 0
x2 + 13x + 45 = 0
19. [9.06] A firecracker shoots up from a hill 160 feet high with an initial speed of 105 feet per second. Using the formula H(t) = −16t2 + vt + s, determine how long it will take the firecracker to hit the ground.

7.5 seconds
7.8 seconds
8.1 seconds
8.3 seconds
20. [9.06] Derek kicks a soccer ball off the ground and in the air with an initial velocity of 31 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

14.2 feet
14.6 feet
15.0 feet
15.3 feet
21. [9.06] Using graphing technology, approximate the solutions of 0.55x2 − 0.33x − 5.6 = 0.

x ≈ −2.91 and x ≈ 3.51
x ≈ −3.14 and x ≈ 3.81
x ≈ −2.76 and x ≈ 3.62
x ≈ −2.61 and x ≈ 3.84
22. [9.06] Using graphing technology, approximate where the graph of y = 5x2 − 3x − 9 crosses the x-axis.

(1.55, 0) and (−1.15, 0)
(1.23, 0) and (−1.26, 0)
(1.32, 0) and (−1.01, 0)
(1.68, 0) and (−1.08, 0)