F(x)•g(x)=
2(2x+1)=
4x+2
4(0)+2= 2
f(x)•g(x)=
2(2x+1)=
4x+2=
4(2)+2= 10
Answer & Step-by-step explanation:
3x²
This term represents a monomial expression. Mono- means one. This term is by itself. It has no other term added or subtracted to it.
The coefficient of this term is 3 because it is the number that the variable is connected to.
There are no constants because this is a monomial expression.
Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let 
, for 
. 
represents the temperature of the water, measured in degrees Celsius, and 
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for :
And all roots are found by Quadratic Formula:
, 
Only the first root is inside the given interval of the function. Hence, the correct answer is:
Now we evaluate the second derivative at given result. That is:
According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Answer: b=6
Step-by-step explanation:
6 is in the y intercept place so it equals 6
Answer:
Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.
Step-by-step explanation:
The parent function for the "V-shape" is y=|x|. This particular function is translated to the left two units and down one. This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1. If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.
