The amount of time his teammate have to catch the ball is equal to 1.774 seconds.
<u>Given the following function:</u>
<h3>How to calculate the amount of time?</h3>
In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:
f(t) = -16t² + 25t + 6.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c =0
Where:
a = -16.
b = 25.
c = 6.
Solving the function by using the quadratic formula, we have:
t = [-b ± √(b² - 4ac)]/2a
t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)
t = [25/32 ± (-1/32)√1009]
t = 25/32 ± (-0.993)
t = 0.781 ± 0.993
t = 0.781 + 0.993
Time, t = 1.774 seconds.
Note: We ignored the negative value because time cannot be negative.
Read more on quadratic equation here: brainly.com/question/1214333
Answer:
a) 42°F < x < 176°F
b) The inequality graph is attached.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form.
Step-by-step explanation:
According to the Question,
a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:
42°F < x < 176°F
b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .
Step-by-step explanation:
the answer is
........b
Answer:
-127
Step-by-step explanation: