Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Equality Properties
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.
Domain = x E R
Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."
3.5
$6 = cost of small box
$8 = cost of large box
Let s = cost of small box
l = cost of large box
(1) 12s + 3l = 96 (2) 6s + 6l = 84
Multiply by -2 <u> -24s - 6l = -192</u>
-18s = - 108
s = $6 = cost of small box
12(6) + 3l = 96
72 + 3l = 96
3l = 24
l = $8 = cost of large box