Answer:
y = -3/4x + 1
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)

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Answer:
3.96ft
Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless
Answer:
Let the amount of Danny be y
Therefore, lance will have 1/3y
Total fraction of cup is 1/1
y+y/3=1
4y/3=1
4y=3
y=3/4
therefore, lance had 3/4 of the cup of water
Answer:
y = - 3x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 8 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, so
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (6, - 2) into the partial equation
- 2 = - 18 + c ⇒ c = - 2 + 18 = 16
y = - 3x + 16 ← equation of perpendicular line