Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is
and option 4 is correct.
Given that <span>Li
is making beaded necklaces for each necklace, she uses 27 spacers, plus
5 beads per inch of necklace length.
The equation to find how many
beads Li needs for each necklace can be obtained as follows:
A. The input variable is the number of inches of the necklace length (x).
B. The output variable is the number of beads Li needs for each necklace (y).
C. The required equation is given by
y = 5x</span>
Answer:
72.54
Step-by-step explanation:
Use formula for trapezoid: a+b/2 * h
Probability hit=40%=4/10
probability no hit=1-p (hit)=1-4/10=6/10
probability= p(hit)+p(hit)+p(hit)+p(hit)+p(hit)+p (no hit)+p (no hit)+p (no hit)
probability=4/10×4/10×4/10×4/10×4/10×6/10×6/10×6/10
=0.0022
( I think but I'm not 100% sure)
Answer:
y = 10.36
Step-by-step explanation:
y - 1.6 = 8.76
add 1.6 to both sides
y - 1.6 + 1.6 = 8.76 + 1.6
y = 10.36