Answer:
50%
Step-by-step explanation:
Let :
Winter = W
Summer = S
P(W) = 0.85
P(S) = 0.65
Recall:
P(W u S) = p(W) + p(S) - p(W n S)
Since, none of them did not like both seasons, P(W u S) = 1
Hence,
1 = 0.85 + 0.65 - p(both)
p(both) = 0.85 + 0.65 - 1
p(both) = 1.50 - 1
p(both) = 0.5
Hence percentage who like both = 0.5 * 100% = 50%
The answer to your mathematical question is 5
Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Answer:
see below
Step-by-step explanation:
The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.
The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,
The appropriate choice is the first graph.
