Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 
then 
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
• Hence ![\[x=10\sqrt{150}\]](https://tex.z-dn.net/?f=%5C%5Bx%3D10%5Csqrt%7B150%7D%5C%5D)
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
brainly.com/question/13012860
Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
Answer:
9/10
Step-by-step explanation:
90%
Superficie total de un prisma
La fórmula general para el área de superficie total de un prisma recto es T. S. A. = ph + 2B donde p representa el perímetro de la base, h la altura del prisma y B el área de la base.
¡Espero que esto ayude!
Answer:
if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.
Step-by-step explanation:
