Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by:
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:

On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;


Simplify:
= -2.5 sec and
= 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Answer:

Step-by-step explanation:
Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is 
Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.
Answer:
x=29.4
Step-by-step explanation:
To help find the sides of a triangle, I use SOHCAHTOA.
SOH - CAH - TOA
S=O/H (
)
C=A/H (
)
T=O/A (
)
Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.
So it would be tangent (tan).
opposite = 17
adjacent = 30°
Plug these numbers into the calculator and you should get your answer.

x=29.4
Try to do <em>y</em> on your own and let me know if you have any questions!
Also correct me if I'm wrong on anything.
Hope this information helps!
Answer:
4
Step-by-step explanation:
Using the function concept, it is found that:
- Graph B is a function because each value of x corresponds to exactly one y-value.
In a function, <u>one value of the input can be related to only one value of the output</u>.
- In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).
In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
At Graph B, <u>for each value of x, there is only one value of y</u>, hence it is a function.
Hence:
Graph B is a function because each value of x corresponds to exactly one y-value.
To learn more about the function concept, you can take a look at brainly.com/question/12463448