Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):
The right answer is: <em>The binomial expression 2w + 6 represents the length of the fish tank.</em>
Dylan has a fish tank, so we assume that this tank is a cube. In this way, the volume of the tank is given by this expression:
Where:
h: height
w: width
l: length
We know the following things:
FIRST.<em> He knows its height, h, is one inch less than twice the width, w.</em>
This can be expressed as the following equation:
SECOND. <em>The length, l, of the fish tank is seven inches longer than the height.</em>
We can express this statement as follows:
By substituting in :
Answer:
what is
Step-by-step explanation:
x+5+x+x+5=4x+10
Answer:
4x+10
Step-by-step explanation:
x+5+x+x+5=4x+10
Answer:
The perimeter of the un-shaded portion is 42 cm
Step-by-step explanation:
The given information are;
The diameter of the circle = 7 cm
The perimeter of the entire figure = 42 cm.
The formula for the perimeter = 2 semi circles + 2 Side lengths, l
The formula for the perimeter = 2 × π·D/2 + 2× l
42 = 2×π·7/2 + 2·l = π·7 + 2·l
2·l = 42 - π×7 = 20.009 cm
l = 20.009 cm/2 = 10.004 cm
The perimeter of the un-shaded portion, = 2 side length + 2 semicircles
∴ = 2×l + 2 × π·D/2 = 2×l + 2×π·7/2 = 2·l + π·7 = 2×10.004 + π×7
= 41.999 ≈ 42 cm
Therefore, the perimeter of the un-shaded portion = 42 cm.