Answer:
The vertex is the point (-1,11). is a maximum
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex
a is a coefficient
if a > 0 the parabola open upward and the vertex is a minimum
if a < 0 the parabola open downward and the vertex is a maximum
we have
Convert to vertex form
Complete the square
Factor the leading coefficient
Rewrite as perfect squares
The vertex is the point (-1,11)
The coefficient a=-5
so
a < 0 the parabola open downward and the vertex is a maximum
Answer:
W = 4
Step-by-step explanation:
The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.
1. Write our the equation. V = l w h
2. Put in as many numbers as you can. 60 = 5 w 3
3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.
60/5 = w 3
12/3 = w
4 = w
The width is 4cm
For # 3 and 5 you need to use the quadratic formula:
<span>(-b +/- srt(b^2 - 4ac))/2a </span>
<span>a, b, and c are representative of this formula: ax^2 +bx + c </span>
<span>1) 2x^2+3x-9=0 </span>
<span>(2x - 3)(x + 3) = 0 </span>
<span>2x - 3 = 0, x + 3 = 0 </span>
<span>+3 +3, -3 -3 </span>
<span>2x = 3, ***x = -3*** </span>
<span>/2 /2 </span>
<span>***x = 3/2*** </span>
<span>2) 5x^2+2x=0 </span>
<span>(x)(5x + 2) = 0 </span>
<span>5x +2 = 0, ***x = 0*** </span>
<span>-2 -2 </span>
<span>5x = -2 </span>
<span>/5 /5 </span>
<span>***x = -2/5*** </span>
<span>4) 4x^2+7x-2=0 </span>
<span>(4x - 1)(x + 2) = 0 </span>
<span>4x - 1 = 0, x + 2 = 0 </span>
<span>+1 +1, -2 -2 </span>
<span>4x = 1, ***x = -2*** </span>
<span>/4 /4 </span>
<span>***x = 1/4***</span>
Answer:
that will be 384.31 I think
