Answer:
82
Step-by-step explanation:
Answer: Choice D

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Explanation:
First we replace f(x) with y. This is because both y and f(x) are outputs of a function.
To find the inverse, we swap x and y and solve for y like so

Note: because the range of the original function is
, this means the domain of the inverse is
. The domain and range swap roles because of the swap of x and y.
As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.
<span>2x+3y=11
Y= -2x + 1 re-write -2x - y = -1
so
</span>2x + 3y =11
-2x - y = -1
--------------add
2y = 10
y = 5
<span>Y= -2x + 1
</span>5 = -2x + 1
-2x = 4
x = -2
answer
solution (-2 ,5)
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5