Answer:
t = 2.28 s
Step-by-step explanation:
h = 105 - 9t - 16t ^ 2
0 ft = 105 ft - 9t -16^t
To find the roots of a quadratic function we have to use the Bhaskara formula
, the roots will give us the time it takes to reach zero height
ax^2 + bx + c = 0
-16^t - 9t + 105 ft = 0 ft
a = -16 b = -9 c = 105
t1 = (-b + √ b^2 - 4ac)/2a
t2 =(-b - √ b^2 - 4ac)/2a
t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t1 = (9 + √(-81 + 6720))/ -32
t1 = (9 + √6639)/ -32
t1 = (9 + 81.84)/ -32
t1 = 90.84 / -32
t1 = -2.83 s
t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t2 = (9 - √(-81 + 6720))/ -32
t2 = (9 - √6639)/ -32
t2 = (9 - 81.84)/ -32
t2 = -72.84 / -32
t2 = 2.28 s
we have two possible values, we are only going to take the positive one, beacause we are talking about time
t2 = 2.28 s
Answer: The system of equations are;
a + b = 9 ———(1)
a + 3b = 23———(2)
Step-by-step Explanation: The variables used here are a and b. Where a represents the number of free throws and b represents the number of three-pointers.
From equation (1), what we have is the total number of shots he has taken altogether which is 9 shots in all. All 9 shots are an addition of free throws and three pointers (that is a + b).
In equation (2), what we have is the points obtainable times the number of shots taken (for each shot). This means if a is a free throw, then 1 times a is equal to number of free throws times 1. Similarly, if b is a three-point throw, then 3 times b is equal to the number of three pointers thrown times 3.
The solution to the equation above gives us,
a = 2 and b = 7
The slope is 5/6.
The x-intercept is (6, 0)
The y-intercept is (0, -5)
The answer is 12.50 and equation is y=5.25p -3.25
