Answer: -21, -33, -45
Step-by-step explanation:
each next number is being subtracted by 12 so
Answer:
4400 Yards
Step-by-step explanation:
Divide 1760 to get how many yards are in half of a mile
Take the number of yards in one mile and double that and then add the number in half of a mile
Answer:
23-5= 18
Step-by-step explanation:
Answer:
Part A: YES, it is.
Part B: the amount of pumpkin picked and the amount of fertilizer applied.
Step-by-step explanation:
Part A:
The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.
The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.
Part B:
A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
