Let's notice, the focus is at (5,0) and the directrix at x = -5.
keep in mind that there's a distance "p" from the vertex to either of those fellows, therefore, if the focus is at 5,0 and the directrix x = -5, the vertex is half-way between them, check the picture below.
notice the distance "p" there, now, is a horizontal parabola, opening to the right, meaning the value for "p" is positive, or just 5, thus
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Answer:
A frequency table and a line plot show which value occurs most often. this is done by labeling every value. The person can clearly see the organized layedout numbers in a frequency table or line plot.
Step-by-step explanation:
If you have any questions feel free to ask in the comments.
Answer:
1877 computer users
Step-by-step explanation:
We have that for 95% of confident, the value of z has a value of 1.96 (attached table about it), they also mention the margin of error (E) that is 10 and finally the standard deviation (sd) that has a value of 221.
We apply the following formula:
n = [z * sd / E] ^ 2
replacing:
n = [1.96 * 221/10] ^ 2
n = 1876.27
that is, the minimum sample size is 1877
Answer:
≈ 27 ft
Step-by-step explanation:
using the tangent ratio in the right triangle formed by the building and the ground.
tan15° = 
= 
( multiply both sides by 100 )
100 × tan15° = ? , then
? ≈ 27 ft ( to the nearest whole number )
