Answer:
The formula for the vertex of the parabola is -b/a. Plugging this in we get -(-4)/1 or 4.
Answer:
The correct option is D.
Step-by-step explanation:
Let <em>x</em> denote the years.
The information provided is:
- The population of Metro City is 7420.
- The population is decreasing by 152 people per year.
- The population of Smallville is consistently 1200 less than half of Metro City.
From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:
![Y = [\frac{1}{2}\cdot (7420-152x)]-1200](https://tex.z-dn.net/?f=Y%20%3D%20%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%287420-152x%29%5D-1200)
The population of Smallville is 2282 after <em>x</em> years.
Compute the value of <em>x</em> as follows:
![2282= [\frac{1}{2}\cdot (7420-152x)]-1200](https://tex.z-dn.net/?f=2282%3D%20%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%287420-152x%29%5D-1200)

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a decimal or percent.
Hope This Helps :)
-x+4>-3x-4
+x +x
---------------------
4>-3x-4
+4 +4
----------------
8>-3x
/3 /3
----------------
8>2.7
x=2.7
Hope it helped!
Answer:
D
Step-by-step explanation:
The perimeter P of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width ) , then
2l + 2(9) = 5364
2l + 18 = 5364 ( subtract 18 from both sides )
2l = 5346 ( divide both sides by 2 )
l = 2673
Then
A = lw = 2673 × 9 = 24057 m² → D