Answer:
1/64
Step-by-step explanation:
1/64
hope it's helpful
Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
To find the mean, aka average, we must add all the values of the table, then divide that sum by the number of values
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does this very nicely.
__
The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.
y = -3x -2
Positive values for y will require negative values of x.