It is quadratic equation.
First we have find delta given by formula: delta=

where our
a=16
b=-24
c=7
so, delta=

Because delta is positive, there is real results.
Now we can use next formula x=

, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=

x2=
Answer:
10 to power of -8 so 0.00000001 I think
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
For this case we have that the cost of each pizza is given by the following function:

Where:
r: It's the radius of the pizza
IF a pizza cost $26.32 we have:

We cleared the radius, using
:

We choose the positive value:

So, the radius of the pizza is 
Then, the diameter is: 
Finally, the diameter of the pizza is:
Answer:
Option B
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:

What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So

The initial height of the balloon is 2 feet.