F(x) = 2x / (x-6) Find the domain of f (all permissible inputs of x)
Answers
Answer:
domain { x : x ∈ R, x ≠ 6 }
Step-by-step explanation:
given
f(x) =
the denominator of f(x) cannot be zero as this would make f(x) undefined
Equating the denominator to zero and solving gives the value that x cannot be.
x - 6 = 0 ( add 6 to both sides )
x = 6 ← excluded value in the domain
domain is {x : x ∈ R, x ≠ 6 }
Related Questions
What is the answer to this question
Add.5x^2- 5x+12x^2+9x-6
I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 less than 3 times the sum of my ones digit and tens digit. My thousands digit is half my hundreds digit, and the sum of those two digits is 9. What number am I?
Eduardo rented a bike from James' Bikes. It cost $19 plus $6 per hour. If Eduardo paid $49 then he rented the bike for how many hours?
3.125 h
6.25 h
200 h
7812.5 h
Answers
Answer:
1250 divided by 50 = 25 times 8 = 200 hours
Answers
Answer: Choice B.
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Explanation:
We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points
m = (y2-y1)/(x2-x1)
m = (0-1)/(3-0)
m = -1/3, negative slope means the line goes downhill as we move from left to right.
The y intercept is b = 1 as this is where the boundary crosses through the y axis
y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.
The equation of the boundary line is y = (-1/3)x+1
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The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.
Change the equal sign to a less than or equal to sign to get the final answer of which is choice B.
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Probability of a coin coming up tails = 1/2
now we multiply the two probabilities together to find what the probability of BOTH occurring at the same time is.
1/6 × 1/2 = 1/12
Answer is D. 1 over 12
Answer:
D. 1/12 is the answer
Step-by-step explanation:
the probability of rolling a 4 is 1/6, and the probability of flipping tails is 1/2. If you multiply 1/2 and 1/6 you get 1/12.
Answers
Answer:
you have to put in the answers.
Answer:
$385.00 = $85.00 * 3.647 + $75.00
Step-by-step explanation:
The equation that best represents the situation is:
Total Cost = Hourly Rate x Repair Time + Diagnosis Fee
In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.
So, we can write the equation as:
$385.00 = $85.00 * t + $75.00
To solve for the repair time "t", we need to isolate the variable.
First, we subtract $75.00 from both sides of the equation:
$385.00 - $75.00 = $85.00 * t
Simplifying, we get:
$310.00 = $85.00 * t
Next, we divide both sides of the equation by $85.00 to solve for "t":
$310.00 / $85.00 = t
Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.
Therefore, the equation that best represents the situation is:
$385.00 = $85.00 * 3.647 + $75.00
Answers
Answers
Consider julie's scores on three final exams (x), along with the class means and standard deviations: subject x mean standard deviation history 75 70 5 english 92 90 10 math 80 70 3 science 84 70 7 compared to the other students who took the test, in what class is was julie's highest score?
Answer: In order to find in what class Julie's has scored highest, we need to find the z score corresponding to Julie's score. The subject who has the highest z score will indicate that Julie has scored highest in that subject.
Z score for History:
z score for english:
z score for math:
z score for science:
Since the z score for Math is highest, therefore, in Math class Julie's score is highest.