Answer:
15 times
Step-by-step explanation:
If he bats 50 times, he will be expected to reach first base "30% of the time".
We simply need to find "what is 30% of 50?"
We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.
Converting percentage to decimal is very simple! We divide by 100. That's it!
So, we have:
30% = 30/100 = 0.3
Now we do the multiplication:
0.3 * 50 = 15
So, the player would reach first base 15 times (out of 50 times of batting)
-4.5 if you were to graph the linear function.
<h3>
Answer: x = 0</h3>
Work Shown:
y = -3x^2 - 12 is the same as y = -3x^2 + 0x + (-12)
Compare this to y = ax^2 + bx + c, and we'll find that
a = -3
b = 0
c = -12
Plug the 'a' and 'b' values into the formula below and simplify
h = -b/(2a)
h = -0/(2*(-3))
h = 0
The x coordinate of the vertex is x = 0, so the axis of symmetry is also x = 0.
The axis of symmetry lays perfectly on top of the y axis.
Answer:
#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C. 2; 0.5; #5) A. 0.05 seconds; 4.5.
Explanation:
#1) The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself. In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4. This means the period goes from t=0 to t=4, so it is 4.
#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2). Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.
#3) This function never repeats, so it is not periodic.
#4) This function repeats when it reaches t=2, so 2 is the period. The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak. The center line would be located at about y=0.5; the peaks are at y=-1. This means the amplitude is 0.5.
#5) This function repeats every 0.05 seconds. In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.
