Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
Answer:
Step-by-step explanation:
Ok, so we have to help your pupil (lets call her Jane) figure out "why researchers should use a random sample to conduct a survey". So, i will list all of the choices.
- A random sample is likely to avoid bias
- In a random sample some members of the population are more likely to be selected than others
- Random samples provide consistency and systematically favor one choice over every other choice in each survey question
- Random sampling will provide a more representative sample of population
- Researchers can use a random sample to draw conclusions about the population
Random sampling is used to get the best average, and not favor any one opinion. For example, if you were trying to figure out the daily spending budget of people, you wouldn't just go to the upper clas part with all the rich people, you would survey from all over the town to get results from all kinds of people. So, the answers are:
- A random sample is likely to avoid bias (because thats exactly what they do)
- Random sampling will provide a more representative sample of population (because they are designed to do that)
- Researchers can use a random sample to draw conclusions about the population (thats why they take the samples)
Hope this helps
Answer:
= 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
= 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
