
We'll assume that there is an equal probability of any position on the wheel, so a
chance for any given number.
We must take the probability of getting a 27, then the probability of getting a 15, and multiply them together to find the chances that they both happen in a row.

Answer:
Three equivalent expressions are -3(5-2x), 6x-15, and 3(2x-5).
Step-by-step explanation:
They are equivalent because they equal the same value for x and make the same answer.
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
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Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
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As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Answer:
the expressions are not equivalent
Step-by-step explanation:
7(x+2y) (distribute 7 into the parentheses)
= x(7) + 2y(7)
= (7x + 14y) ≠ (14x + 14y)
hence the expressions are not equivalent