Answer:
Step-by-step explanation:
Notice that we are requested to perform three transformations in order: first a vertical compression (of the variable "y"), second a horizontal shift (affecting therefore the horizontal variable "x"), and lastly a vertical translation (affecting the variable "y")
1) Recall that a vertical compression by a factor 0.25 involves multiplying the full function y(x) by the factor 0.25:
2) the horizontal translation of 4 units to the right involves subtracting 4 from the variable "x":
3) the vertical translation 3 units up involves adding 3 to the full expression for "y":
8 x (5 x 2 + 3)=104 because 5 x 2 is 10, 10 + 3 is 13, and 13 x 8 is 104.
What you can do for this case is graph the data in a computer program, for example, excel and look for the trend line of the function.
For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
The function that best suits the problem is:
y = 1.4004ln (x) + 0.2158 The value of R ^ 2 indicates the accuracy of the function
R² = 0.9691 For R ^ 2 = 1 the function is completely accurate.
We note that in that case R² = 0.9691, the function chosen has a good approximation.
Answer:
%
Step-by-step explanation:
in total.
, 24 students trying out.
24 of 40 as a percent
Answer:
x=12
Step-by-step explanation:
x^9=12^9
power of 9 cancel eachother at both sides of equation.
so
x=12
