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.
First, set the coordinate points on a graph, and joint them to form a graph
By looking at the graph we can see that:
width : 3
length: 6
Area of a rectangle : Length x width : 6 x 3 = 18
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
Just plug in -3 for x. So it will be -(-3)^+ 1
Which is 3^+1.
I'm confused by your ^ sign I'm not sure if this is supposed to be squared or not...? But just solve/simplify the equation.
Hope this helps!
Answer:
The inverse of the function is (3x+4)/2
Step-by-step explanation:
To find the inverse, exchange x and y and then solve for y
y = (2x-4) /3
Exchange x and y
x = (2y-4)/3
Solve for y
Multiply each side by 3
3x = (2y-4)/3 *3
3x =2y-4
Ad 4 to each side
3x+4 = 2y-4+4
(3x+4) =2y
Divide each side by 2
(3x+4)/2 =2y/2
(3x+4)/2 = y
The inverse of the function is (3x+4)/2
