Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 1, 6 ] and from the graph
f(b) = f(6) = 0
f(a) = f(- 1) = 0, thus
average rate of change = 
= 
= 0
Answer:
Step-by-step explanation:
P(a or b) = P(a) + P(b) - P(a and b)
0.88 = 0.70 + 0.60 - P(a and b)
P(a and b) = 1.30 - 0.88 = 0.42.
So the events a and b are not mutually exclusive.
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
Answer: 2/3ft or C
Step-by-step explanation: Solve for b in the area of a triangle equation, A=1/2bh. Multiply 1/2 by 2 on both sides to cancel it: A(2)=bh. Divide both sides by h: 
=b
A = 2/5
h = 6/5
b = ?
Next, we can plug the numbers into this equation: 
=b
Multiply 2 and 2/5: 4/5 / 6/5
Take the reciprocal of 6/5: 4/5 x 5/6 = 
÷ 
= 
Answer:
The range of possible values for the third side called c is;
11 > c or c < 11
Step-by-step explanation:
Here in this question, we are concerned with giving the range of the third side of the triangle.
What we will be using to get this range is the triangle inequality theorem.
Mathematically, the sum of the length of the two sides must be greater than the length of the third side.
So let’s call the third side c
Thus, the range of values we are to work with is;
5 + 6 > c
11 > c
