Answer:
Invertible functions
Step-by-step explanation:
An inverse of a function is one that reverses the operation of the function such that the result of the function on a variable, is reversed back to the initial variable
Therefore, when we have the the result of the function, f on x as y given as follows;
f(x) = y
The inverse of the function, g on the result, y gives the initial variable, x as follows;
g(y) = x
Example of invertible functions includes;
f(x) = x²
An example of a non-invertible function includes;
f(x) = 2·x².
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
Answer:
$580
Step-by-step explanation:
Original price = $156.60 / 0.27
Original price = $580
The slope is the change in Y over the change in X:
Slope = (3 -12) / (4-0)
Slope = -9/4
The answer is the 3rd choice.
B is correct. Explanation Below:
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Line A never intersects Line B, as they are parallel lines-the slopes are the same-and parallel lines never intersect.
Line A's Slope: (9-5)/(-1-1) = -2
Line B's Slope: (-6-2)/(4-0) = -2
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Hope this helps!
