Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
Answer:
1. equation
2.equation
3.equation
4. expression
5.expression
6.equation
7.expression
8.equation
9.expression
anything with = is an equation, without is expression.
For this case we have to:
x: Represents the number of miles that can be traveled in a day
We have that the cost of daily car rental is given by the following expression:
If the person has a budget of $200 then we have to:
Thus, you can travel 496 miles in one day.
Answer:
You know the factor of 2 will make the result have even numbers. Thus C and D are immediately eliminated. To tell whether the answer is A or B, you only need to find the second number.
.. 2*(1*0 +2*(-1)) = -4
The appropriate selection is ...
B. [14 -4]
Answer:
°
Step-by-step explanation:
