We have that
y=-3x²<span>+5x+11
we know that
the equation of the parabola in standard form can be expressed in one of the following two ways
y=ax</span>²+bx+c
<span>the parabola opens up if a is positive and opens down if a is negative
and
x=ay</span>²+by+c
the parabola opens right if a is positive and opens left if a is negative
<span>
in this problem
the equation is of the form
</span>y=ax²+bx+c<span>
a=-3
so
the parabola opens down
using a graph tool
see the attached figure
the vertex of a parabola is a maximum
the answer is</span>
the parabola opens down
392065.018 could be rewritten as 302965.018. Here I have moved the "9" two places to the right.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

Step-by-step explanation:
<u>Step 1: Define equation</u>
-3x = 2x² - 4
<u>Step 2: Rewrite into Standard Form</u>
0 = 2x² + 3x - 4
<u>Step 3: Define variables</u>
a = 2
b = 3
c = -4
<u>Step 4: Find </u><em><u>x</u></em>
- Substitute:

- Evaluate:

- Multiply:

- Add:

- Evaluate:

- Evaluate:

And we have our final answer!
Answer:
19 and 16
Step-by-step explanation:
Let x and y be the two numbers
x+y = 35
x-y =3
Add the two equations together
x+y = 35
x-y =3
---------------
2x = 38
Divide by 2
2x/2 = 38/2
x = 19
Solve for y
x-y = 3
19-y = 3
Subtract 19 from each side
19-19 -y = 3-19
-y = -16
y =16