
is a parabola (looks like the letter U).
The letter a represents the coefficient of

and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).
The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.
If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.
So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.
The a also controls whether the graph is concave up or concave down. If a is negative
If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.
So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)
Replace the 'x' in the formula for g(x) by f(x):-
g(f(x)) = (x-7)^3
Its D
6 < c < 20,
Of course if you knew the triangle was a right triangle you could use the Pythagorean theorem to directly get the size of the third side.
Answer:
1.125
Step-by-step explanation:
729/512=1.423828125
3√1.423828125=1.125
Answer:
Here is a summary of the Boston Marathon completion times for two years.
Year
Mean (minutes)
Standard deviation (minutes)
Number of runners
2012
263
50
21,576
31,984
2014
243
52
A sports journalist takes separate random samples of 35 runners from each year. Then they look at the
difference in the mean completion time sampled from each year 2012 - 2014).
What do we know about the shape of the sampling distribution of D2012 22014, and why?Step-by-step explanation: