Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is 
, then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.
Answer:
6
Step-by-step explanation:
[x-2]=[4.7-2]=[2.7]=2
f(4.7)=3*2=6
Answer:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract <em>y</em> on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
Answer:
The range is 
The graph in the attached figure
Step-by-step explanation:
we have
The domain is the interval 
----> given problem
Remember that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
To find out the range of the function , find the value of y for each value of x
so
For x=-2 ----> y=-2-7=-9
For x=-1 ----> y=-1-7=-8
For x=0 ----> y=0-7=-7
For x=1 ----> y=1-7=-6
For x=2 ----> y=2-7=-5
therefore
The range is
The graph in the attached figure
Answer:
Step-by-step explanation:
AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.
