Answer:
M=3*2
M=6
Step-by-step explanation:
Answer:
A. Probability of drawing a club from a deck of 52 cards, given that the card you draw isn't a heart
Step-by-step explanation:
"Part A: What is the y-intercept of the function, and what does this tell you about the horse? (4 points)" The y-intercept is (0,8), which tells us that at the beginning the horse is 8 miles from the barn.
"Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)" The value of the function at x=1 is 58 and that at x=3 is 158. Thus, the change in the horse's distance from the barn is 158-58, or 100 feet. The time period involved here is 2 sec. Thus, the average rate of change of the horse's position with respect to time is
100 feet
average rate of change = ---------------- = 50 ft/sec
2 sec
If the horse were to move steadily at a fixed rate from 58 feet to 158 feet from the barn, its average rate would be 50 ft/sec.
"Part C: What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn? (2 points)"
Here time begins at x=0 and ends at x=4 sec. Thus, the appropriate domain here is [0,4] sec.
To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b).
Thus, we have
9x² = 4
9x² - 4 = 0
(3x)² - (2)² = 0
(3x + 2)(3x - 2) = 0
We now have two linear equations:
3x + 2 = 0 | 3x - 2 = 0
3x = -2 | 3x = 2
x = -2/3 | x = 2/3
Thus, x = +2/3 and -2/3.<span>
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If you got options that will help 1×-2=-2
1+2=3