Answer:
The answer is option D
g(x) = |x+3|
Step-by-step explanation:
Please see attached graph
The changes made to the function result from translating the graph of f(x) three units to the left
By substituting the equations provided at x = -3 and x = 0 respectively, we can find the same value for both functions.
g(x = -3) = |(-3)+3| = |0| = 0
f(x = 0) = |0| = 0
Answer-
The exponential model best fits the data set.
Solution-
x = input variable = number of practice throws
y = output variable = number of free throws
Using Excel, Linear, Quadratic and Exponential regression model were generated.
The best fit equation and co-efficient of determination R² are as follows,
Linear Regression
Quadratic Regression
Exponential Regression
The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.
Now,
Therefore, the Exponential Regression model must be followed.
Answer:
The area of trapezoid is 20 square centimeters
Step-by-step explanation:
Let
x -----> the length of rectangle
y ----> the height of rectangle
h ----> height of trapezoid
Applying the Trapezoid Mid-segment Theorem we have that
----> equation A
---->
----> equation B
Remember that
The area of rectangle is equal to
The area of trapezoid is equal to
-----> equation C
substitute equation A and equation B in equation C
The area of trapezoid is two times the area of rectangle
therefore
The area of trapezoid is 20 square centimeters