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
5x15, 3x25 because 30+45=75 and both 5x15 and 3x25 equal 75
Statement Reason
1) 4x + 5 = 17 Given
2) 4x + 5 - 5 = 17 - 5 Subtraction property of equality
3) 4x = 12 Simplifying
4) 4x/4 = 12/4 Division property of equality
5) x = 3 Simplifying
Answer: how many hours is she working
Step-by-step explanation:
