Answer:
(-1, 0), (2, 0), (3, 0)
Step-by-step explanation:
x-intercept of a line is defined by a point where y = 0.
So the point in the form of (x, 0) will be the x-intercept of the given continuous function.
From the table attached,
For x = -1, f(-1) = 0
For x = 2, f(2) = 0
For x = 3, f(3) = 0
Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).
Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
Answer:
2
Step-by-step explanation:
2
Answer: Log9,(11/7)^4
Step-by-step explanation:
according to the rules of logarithm
1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)
2) the number in front of the log figure becomes an indices
Answer:
A) 12/37
B) 12/46
C) 25/54
D) 29/100
Step-by-step explanation:
Let event A = small-business owner selected economy,
event B = small-business owner selected finding qualified workers,
Thus, probabilities;
P(A)=46/100
P(B)=37/100
P(A∩B)=12/100
A) P(A ∩ B)/P(B) = (12/100)/(37/100) = 12/37
B) P(A∩B)/P(A) = (12/100)/(46/100)= 12/46
C) P(B∩A')= P(B) − P(A∩B) =
37/100 - 12/100 =25/100
P(B∩A')/P(A') =
(25/100)/(1-46/100) = 25/54
D) Using inclusion-exclusion principle;
P(A∪B) = P(A)+P(B)−P(A∩B)=
46/100 + 37/100 - 12/100 = 71/100
Hence, the probability that the owner believes neither that the economy is a challenge for growth nor that finding qualified workers is a challenge for growth is;
P( A' ∩ B') = 1 − P(A∪B)= 1− (71/100)= 29/100
