Answer:
Step-by-step explanation:
"y" is geometric mean
y² = 13 × 2
<em>y </em>= √26 <em>≈</em><em> 5.1</em>
x² = 26 + 4 = 30
<em>x</em> = √30 <em>≈</em><em> 5.5</em>
z² = 15² - 30 = 195
<em>z </em>= √195 <em>≈</em><em> 14.0</em>
1. Class width:
The class width is given by the following expression:
The number of intervals are: 4
And the range is:
Replacing:
A) The class width is 74 (rounding to the smallest value).
2. Number of team attempted from 360 to 434:
B) The number of teams are: 4
3. According to the histogram, what is the total number of teams?
The total number of teams is given by:
C) 23.
Answer:
- Square brackets [ or ] are used when the end point is included.
- Parentheses ( or ) are used when the end point is not included.
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it is from -2 to +3, with -2 included in the domain and +3 not included.
As an inequality, the domain is written ...
-2 ≤ x < 3
In interval notation, we use a square bracket for the "or equal to" case:
[-2, 3)
__
The range is the vertical extent of the function. Here, the range extends from -4 (not included) to +5 (included).
As an inequality, the range is written ...
-4 < y ≤ 5
In interval notation, the range is written using a square bracket for the "or equal to" case:
(-4, 5]
_____
<em>Comment on infinity</em>
There is no such thing as "equal to infinity" so an infinite limit is always represented in interval notation using a parenthesis.
<h3>
Answer: y = x+1</h3>
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Answer:
4,398.23
Step-by-step explanation: