Answer: 200 teddy bears are in the store.
Answer:
The solutions for x are 
and 
.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
2x² - 5x - 12 = 0
This means that 
Solution:
The solutions for x are and .
The answer for the following question is 12
as
Circumference of the circle = 2TTr
= 2 x 22/7 x 12
= 44 / 7 x 12
= 75.4285714286
Set the quadratic = to 0 and solve for time, t:
-16t^2 - 8t + 20 = 0
Reduce this to:
-4t^2 - 2t + 5 = 0
Here a= -4, b= -2 and c =5. Then,
2 plus or minus sqrt( 4-4(-4)(5) )
t = ---------------------------------------------
-8
2 plus or minus sqrt(84)
= ------------------------------------
-8
Finish evaluating this. If either outcome is negative, discard it.
The result will be the number of seconds required for the ball to hit the grnd.
Let's consider each of the options;
A) The range is the values that y can be of the function f(x). We can see that no matter what x values you put in, f(x)>0. It will never be negative. Although, if you put (1/2)^2, you can get a y value of (1/4) so this statement is incorrect.
B) It would have to put in the x or y value into the function and check. f(0)=(1/2)^0
You know that anything to the zero-th power gives 1, therefore, this statement is correct.
C) Again, if you put in a value such as (1/2)^2, you would be getting a number that is smaller than 1/2, so it isn't always increasing.
D) Again, it is possible to input any value in x and you would still be getting a positive y-value, therefore, this statement is incorrect.
Hope I helped :)
