2x + 12y = -1
12y = -1 - 2x
y = -1/6x - 1/12
Answer:
y= <u>9x+55</u>
4
Step-by-step explanation:
if 9x+42=4y-13
9x+42+13=4y
y= <u>9x+55</u>
4
The minimum y-value of the function for the parabolic equation is -13.
<h3>What is the vertex of a parabolic equation in quadratic form?</h3>
The vertex for an up-down facing parabola of the form y = ax² + bx + c is 
From the given equation:
y = x² + 8x + 3
The parameters for the parabola are:
a = 1, b = 8, c = 3


If we replace the value of
to find the minimum value of
value, we have:

Thus, the parabola vertex is (-4,-13). If a< 0, the vertex is a maximum value and If a>0, the vertex is a minimum value.
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The rearranged formula for volume in terms of radius,r is
.
What is volume?
- Volume is a measure of enthralled three-dimensional space.
- It's frequently quantified numerically using SI-deduced units or by colorful Homeric units( similar to the gallon, quart, boxy inch).
- The description of length( cubed) is interrelated with volume. The volume of a vessel is generally understood to be the capacity of the vessel; i.e., the quantum of fluid( gas or liquid) that the vessel could hold, rather than the quantum of space the vessel itself displaces.
- In ancient times, volume is measured using analogous-structured natural holders and latterly on, standardized holders.
- Some simple three-dimensional shapes can have their volume fluently calculated using computation formulas.
- Volumes of more complicated shapes can be calculated with integral math if a formula exists for the shape's boundary.
Volume, V = 
Rearranging,
r =![\sqrt[3]{\frac{V}{\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B%5Cpi%20%7D%20%7D)
The rearranged formula for volume in terms of radius,r is
.
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