The formula for slope is
In this case:
so...
-1 <<<The slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Calculate the average rate of change of f(x) = x2 4 - 5 for 3 ≤ x ≤ 5. A) -2 B) - 4 3 C) 4 3 D) 2
1 answer:
Answer:
D)2
Step-by-step explanation:
ƒ(x) = x²/4 - 5; 3 ≤ x ≤ 5
Calculate the values of f(3) and f(5)
f(3) = 3²/4 - 5 = 9/4 - 5 = -2.75
f(5) = 5²/4 - 6 = 25/4 - 5 = 1.25
Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = [1.25 -(-2.75)]/(5 - 3) = 4.00/2
= 2.00
The average rate of change is 2.00.
In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval (3, 5).
The value of ƒ(x) increases by two units for every unit that x increases.
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Answer:
Coordinates of point B are (10,-4)
Coordinates of point D are (3.6,-0.4)
Step-by-step explanation:
1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____
Let the coordinates of B be
Coordinates of A =
Coordinates of C=(x,y)=(3.6,-0.4)
We will use section formula over here
m:n=3:2
Coordinates of B = (10,-4)
2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____
(fraction)
Let the coordinates of D be
Coordinates of A =
Coordinates of B=
We will use section formula over here
m:n=3:2
Coordinates of point B are (10,-4)
Coordinates of point D are (3.6,-0.4)
Answer with explanation:
Given : Number of men = 4
Number of women = 6
Total people =
Total number of ways to make a committee of five people from 10 persons :-
a) Number of ways to make committee that has exactly four women :
The probability that committee has exactly four women :
b) Number of ways to make committee that has at-least four women :
The probability that committee at-least four women :
c) Number of ways that committee has more than 4 women :-
The probability that committee has more than 4 women :-
Now, the probability that committee has at most four women :-