Answer:
The function has a maximum value of 3 that occurs at x = 1.
Step-by-step explanation:
First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.
The formula for the x-coordinate of the vertex is -b/2a.
a=-3, b=6, c=0
Plug in the numbers:
x=-(6)/2(-3)
=-6/-6=1
Now, plug 1 back into the original function:
-3x^2+6x
-3(1)^2+6(1)
=-3(1)+6
=-3+6
=3
Answer:
Answer in explanation.
Step-by-step explanation:
Lets take

as L1.
Take L2 the line perpendicular to L1.
Standard form of equation of line:
y=mx+c, where m = slope and c = y-intercept.
Since L1 and L2 are perpendicular,
mL1 x mL2 = -1
Substitute mL1 into the equation,
3/4 x mL2 = -1
mL2 = -1 ÷ 3/4
mL2 = -4/3
L2 : y = mx+ c
Substitute y = 6, x = 8 and m = -4/3 into the equation,

therefore L2:

Lets take L3 as the line parallel to L1.
Since L3 and L1 are parallel,
mL3 = mL1 = 3/4
equation of line: y = mx+c
substitute y = 6, x = 8 and m = 3/4 into equation.

therefore L3:

Answer:in what grade are the students in
Step-by-step explanation:
For this case, we have the following expression:

We simplify the expression:
If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that 
So, we have to:

Answer:
-3x + x + 5 = -2x + 5
It is a reflection across the y axis, then a translation to the right 2 units.
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