Answer:
15/30:2/30
15/30=2/30x
divide by 15/30
7.5 is x
Step-by-step explanation:
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
You can make purchases even when you don't have cash
hope this helps
Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet
![Y + 2X = 220](https://tex.z-dn.net/?f=Y%20%2B%202X%20%3D%20220)
![Y = 220 - 2X](https://tex.z-dn.net/?f=Y%20%3D%20220%20-%202X)
Area of a rectangle is determined by multiplying the length of perpendicular sides:
![Area = X*Y](https://tex.z-dn.net/?f=Area%20%3D%20X%2AY)
![Area = X(220 - 2X)](https://tex.z-dn.net/?f=Area%20%3D%20X%28220%20-%202X%29)
![Area = 220X - 2X^{2}](https://tex.z-dn.net/?f=Area%20%3D%20220X%20-%202X%5E%7B2%7D)
The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:
![f(a) = a^{b}](https://tex.z-dn.net/?f=f%28a%29%20%3D%20a%5E%7Bb%7D)
![f'(a) = ba^{b-1}](https://tex.z-dn.net/?f=f%27%28a%29%20%3D%20ba%5E%7Bb-1%7D)
Using the above concepts to differentiate Area and calculate X will give:
![Area = 220X - 2X^{2}](https://tex.z-dn.net/?f=Area%20%3D%20220X%20-%202X%5E%7B2%7D)
![Area' = 220 - 4X = 0](https://tex.z-dn.net/?f=Area%27%20%3D%20220%20-%204X%20%3D%200)
![X = 55](https://tex.z-dn.net/?f=X%20%3D%2055)
Calculating Y:
![Y = 220 - 2X](https://tex.z-dn.net/?f=Y%20%3D%20220%20-%202X)
![Y = 220 - 2(55)](https://tex.z-dn.net/?f=Y%20%3D%20220%20-%202%2855%29)
![Y = 110](https://tex.z-dn.net/?f=Y%20%3D%20110)
Calculating Area:
![Area = X*Y](https://tex.z-dn.net/?f=Area%20%3D%20X%2AY)
![Area = 55*110](https://tex.z-dn.net/?f=Area%20%3D%2055%2A110)
![Area = 6050\sqfeet](https://tex.z-dn.net/?f=Area%20%3D%206050%5Csqfeet)
<span> -(x + 1) - 5 > 10
-x - 1 - 5 > 10
- x - 6 > 10
Add 6 to the both sides,
-x - 6 + 6 > 10 + 6
-x > 16
x < -16 [ changed sign 'cause changed -sign ]
In short, Your Answer would be x < -16
Hope this helps!</span>