Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
_____
<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
No, the perimeter equals, 10.55 yd. Add all of the sides together.
Answer:
i think its 12.12 kids got moved
Step-by-step explanation:
i just subtracted 33 - 21 = 12...
17 * 0 + -2.
Now we rewrite the equation and make it 17 * 0 - 2 and u get -2.
Answer:
The cubic regression that fits the points 
, 
, 
and 
is 
.
Step-by-step explanation:
A cubic polynomial is a polynomial that has the following form:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
, 
- Coefficients, dimensionless.
We construct the following system of equations to determine the coefficients of the cubic regression:
(1)
(2)
(3)
(4)
The solution of the system of linear equations is:
, 
, 
, 
The cubic regression that fits the points , , and is .
