Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
If y = 2x + 1, then dy/dt = 2(dx/dt).
If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.
(a) if dx/dt = 3, find dy/dt when x = 4:
Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.
(b) if dy/dt = 2, find dx/dt when x = 40:
Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.
Answer:
The parent function of a rational function is f(x)=1x and the graph is a hyperbola . The domain and range is the set of all real numbers except 0 . Domain:{x | x≠0}Range:{y | y≠0} Excluded value. In a rational function, an excluded value is any x -value that makes the function value y undefined.
Step-by-step explanation:
After a red 3, the highest possible sum is 3 + 6 = 9.
So P(sum ≥ 10) = 0 after a red 3 has occurred.
There are 5 ways the sum can be greater than or equal to 10 (4 and 6, 6 and 4, 5 and 5, 5 and 6, 6 and 5). There are a total of 36 possible permutations. Therefore:
P(sum ≥ 10) = 5/36
The conditional probability is:
P(sum ≥ 10 | red 3) = P(sum ≥ 10 AND red 3) / P(red 3)
P(sum ≥ 10 | red 3) = 0 / (1/6)
P(sum ≥ 10 | red 3) = 0