You can expect to roll an odd number 18 times.
Answer:
2
Step-by-step explanation:
the slope is always multiplying with x in slope intercept form
Answer:
He can only make 9
Step-by-step explanation:
He will have 4 cards left over so it will not be enough to make another stack.
Given:
The graph of a polynomial.
To find:
The number of roots of the polynomial lie between x = -4 and x = 3.
Solution:
From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.
The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.
The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.
Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.
Answer: On the interval [25, 30] the function y = cos x is at it's minimum at x = 9pi or about 28.26.
The graph of y = cos x starts at 1 and moves in the shape of a wave from -1 to 1. It reaches it's first minimum value when x = pi. The period of the wave is 2 pi.
Therefore, it is at its lowest value at the following values, 1pi, 3pi, 5pi, 7pi, 9pi... The value in our given interval is 9pi.