Since the problem is not concerned about the order of choosing the captain, the concept used is the combination. From 8 players, 2 are to be chosen,
8C2
The numerical value of the combination is 28. Thus, the answer is letter B.
(0, 2 ), (4,5)
to draw a graph of a straight line , we only require 2 points
select any 2 values for x, substitute them into the equation for the corresponding y- coordinates
x = 0 → y = 0+2 = 2 ⇒ (0, 2)
x = 4 → y = 3+2 = 5 ⇒ (4, 5)
Plot these 2 points and draw a straight line through them for graph
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.
Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Answer:
x = 15
Step-by-step explanation:
Given
See attachment
Required
Find x
The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.
So, we have:
90 + 6x + 5+ 10x - 40 + 4x + 5 = 360
Collect like terms
6x + 10x + 4x = 360 - 90 - 5 + 40 - 5
20x = 300
Divide both sides by 20
x = 15
Hence, the value of x is 15
