Monisha = x/2
Dave = x
x + (x/2) = 213.75
1. Solve for x.
2. Evaluate x/2 to find the total amount raised by Monisha.
Take it from here.
Answer:
0.857$ (Its really big in answer but This is the average result.
The REAL answer
0.857142857$
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:
Graph of the following function is attached with the answer.
Domain : ( - ∞ , + ∞ )
Range : ( 3 , + ∞ )
Step-by-step explanation:
Domain of any quadratic equation is from negative infinity to positive infinity under no restrictions.
So, Domain : ( - ∞ , + ∞ )
The Range of any function can be calculated easily if there is just one term with variable. The method to find Range by that method is explained with the example as follows:
- Range of x : ( - ∞ , + ∞ )
- Range of
: [ 0 , + ∞ ) as every square number is more than or equal to zero. - Range of
: [ 0 , + ∞ ) as 0/2 = 0 and ∞/2 = ∞. - Range of
: [ 3 , + ∞ ) as 0 + 3 = 3 and ∞ + 3 = ∞.
Therefore the Range of 
is [ 3 , + ∞ )
(NOTE <em>: [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.</em>
<em>(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.</em>
<em>(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.</em>
<em>[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.</em>
<em>{a,b} means only 'a' and 'b'.</em>
<em>{a,b] or (a,b} doesn't mean anything.</em> )
