I think this is the graph for your answer, for the next question like this, try to use "Desmos"
Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of 
is
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:
Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
The answer is 6.63 Hope this helps!
Answer:
66%
Step-by-step explanation:
Given :
Age Percentile
75 97
65 90
55 78
45 58
35 37
25 13
20 66
To Find :The percentage of drivers who are younger than 20 is _____%.
Solution:
Refer the given table
The percentile corresponding to age 20 is 66.
Percentile : A data item is said to be in nth percentile of distribution if n% of the distribution are less than that particular data item.
So, drivers who are younger than 20 are said to be in 66 percentile if 66%of the distribution are less than that particular data item.
Hence The percentage of drivers who are younger than 20 is 66%.
Answer: 21, 23, 25
Step-by-step explanation:
Let the integers be y, y+2 and y+4.
From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:
y + 4(y+4) = 121
y + 4y + 16 = 121
5y + 16 = 121
5y = 121-16
5y = 105
y = 105/5
y = 21
Since y = 21,
y + 2 = 21 + 2 = 23
y + 4 = 21 + 4 = 25
The integers are 21,23 and 25
