10. Write the numbers in expanded (or long) form.
1 answer:
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Answer:
Option D
The domain of the function is: {4, 7}
Step-by-step explanation:
We know that for polynomial functions like its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}
This means that the function is bounded.
Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.
To find the limit values of k then we do f(k) = 25
Now we factor the expression:
Then k = 4 and k = -6.
Now we do f(k) = 64
We factor the expression:
k = -9 and k = 7.
Finally we search between the options given an interval that matches.
The option that matches is option D {4, 7}
Finally, the domain of the function is: {4, 7}
Answer:
d ≈ 5.66
Step-by-step explanation:
given that F varies inversely with d squared, then the equation connecting them is
F = ← k is the constant of variation
to find k use the condition when F = 8, d = 6
k = Fd² = 8 × 36 = 288, hence
F =
when F = 9, then
9 = ← multiply both sides by d²
9d² = 288 ( divide both sides by 9 )
d² = 32 ( take the square root of both sides )
d = ± , hence
d ≈ 5.66 ← positive value only