Y=f(x)=(1/3)^x find f(x) when x=1
1 answer:
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Answer: x = 6
<u>Step-by-step explanation:</u>
<em>multiplied by common denominator</em>
18 + 2x = 5x
<u> -2x</u> <u>-2x</u>
18 = 3x
<u>÷3 </u> <u>÷3 </u>
6 = x
Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.
Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.
For example: could be written as
. When we solve it, we will get x = 5.
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Answer: Edward
<u>Step-by-step explanation:</u>
The denominator cannot equal zero, so:
- x + 1 ≠ 0 → x ≠ -1
- x - 2 ≠ 0 → x ≠ 2
- x - 4 ≠ 0 → x ≠ 4
Those x-values are the asymptotes, which is where the function is undefined.
Answer:
Length of the side opposite to angle is 31.49
Step-by-step explanation:
Included angle can be defined as the angle in between two sides of the triangle.
So angle is in between sides 16 and 21.
Refer to the attachment for triangle diagram.
To find the length of opposite side, use cosine rule as follows
From the diagram,
Substituting the values in the formula,
Simplifying,
Taking square root on both sides,
Therefore length of third side is 31.49
Answer:
(a) S = {0, 1, 2, ..., 10}
(b) 0.256
Step-by-step explanation:
It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.
(a)
<em>X</em> = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.
<em>X</em> follows a binomial distribution.
The sample space of <em>X</em> is:
S = {0, 1, 2, ..., 10}
(b)
Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:
Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.