Answer:
<h2>Midpoint (1 , 5)</h2>
Step-by-step explanation:
Let (x , y) be the coordinates of the midpoint then:
![x=\frac{4+(-2)}{2} = 1\\\\y=\frac{7+3}{2} =5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%2B%28-2%29%7D%7B2%7D%20%3D%201%5C%5C%5C%5Cy%3D%5Cfrac%7B7%2B3%7D%7B2%7D%20%3D5)
Answer:
- (-0.0008)^0 =1
- 1291^1 =1
- (1/3)^0 = 1
Step-by-step explanation:
![\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\\\\(-0.0008)^0 = 1\\\\1291^0 =1\\\\-(-3141)^0 = -1\\\\-(\frac{5}{8} )^0 =-1\\\\0^1 = 0\\\\(\frac{1}{3} )^0 = 1\\](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5C%3Aa%5E0%3D1%2C%5C%3A%5C%5C%5C%5C%28-0.0008%29%5E0%20%3D%201%5C%5C%5C%5C1291%5E0%20%3D1%5C%5C%5C%5C-%28-3141%29%5E0%20%3D%20-1%5C%5C%5C%5C-%28%5Cfrac%7B5%7D%7B8%7D%20%29%5E0%20%3D-1%5C%5C%5C%5C0%5E1%20%3D%200%5C%5C%5C%5C%28%5Cfrac%7B1%7D%7B3%7D%20%29%5E0%20%3D%201%5C%5C)
Answer:
<2 and <8
Step-by-step explanation:
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)
![\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3](https://tex.z-dn.net/?f=%5Cfrac%7B7420-152x%7D%7B2%7D%3D2282%2B1200%5C%5C%5C%5C7420-152x%3D3482%5Ctimes%202%5C%5C%5C%5C152x%3D7420-6964%5C%5C%5C%5C152x%3D456%5C%5C%5C%5Cx%3D3)
Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Answer:
-4
Step-by-step explanation:
I hope this helps