Daryl jumped off of a diving board, and dove into a pool. The graph below shows his height relative to the surface of the water over time, where Daryl’s height (y) is measured in meters and time (x) is measured in seconds.
he started at 2 feet highest he went 3 feet at two seconds then he went down he hit the water at 5 seconds
Which of the following statements are true? (Please select all options which are true)
A. Daryl was rising over the domain 0<x<2
B. Daryl was above the surface of the water for exactly 5 seconds.
C. Daryl reaches his maximum height after 2 seconds have elapsed.
D. The diving board was 3 meters tall.
E. After 6 seconds, Daryl was underwater.
A. Daryl was rising over the domain 0<x<2 - True. Daryl was rising from 0 to 2 seconds.
C. Daryl reaches his maximum height after 2 seconds have elapsed. - True. Daryl reached his maximum height of 3 feet at 2 seconds.
E. After 6 seconds, Daryl was underwater. - True. Daryl hit the water at 5 seconds, so at 6 seconds he would definitely be underwater.
what about b
B. Daryl was above the surface of the water for exactly 5 seconds. - False. Daryl was above the surface of the water for only 2 seconds before hitting the water.
he hit the water at 5 seconds
Apologies for the confusion in my previous responses.
B. Daryl was above the surface of the water for exactly 5 seconds. - True. Daryl was above the surface of the water from 0 to 2 seconds and hit the water at 5 seconds, so he was above the surface for a total of 5 seconds.
Erin is using this area model to factor 6x^2−7x−20. She puts two terms in the upper left and lower right boxes.
6x^2 in the upper left box and -20 in the lower right box
The product of the two terms shown in the area model is
A. 120x^2
B. −120x
C. −120x^2
D. 120x
To factor the quadratic expression 6x^2 - 7x - 20 using the area model, Erin is using the method of finding two numbers that multiply to the constant term (-20) and add up to the coefficient of the x-term (-7).
The two terms in the upper left and lower right boxes represent the two middle terms of the quadratic expression when factored. The product of these two terms is found by multiplying them.
The two terms are:
6x * -20 = -120x
Therefore, the correct answer is: B. -120x
its c
Apologies for the oversight in my previous response. Let's reevaluate the product of the two terms:
The two terms in the upper left and lower right boxes are:
6x * -20 = -120x
You are correct, the product of these two terms is indeed -120x.
Therefore, the correct answer is: C. -120x^2. Thank you for pointing out the error.
The sum of the missing two terms in the area model must be
A. 6x^2
B. −20
C. −7x