Our "y-intercept" (where x = 0) acts as the foundation of our function here.
We can extrapolate from what we have here...if x is 0, y is going to be 2.
So, we start at 2 for y, and every time we decrease x by 2, y increases by 1.
If we decrease x by just 1, y increases by ½.
This also goes in the opposite direction. Increase x by 1, decrease y by ½.
We can write the change in y as -½x.
That change is being added to our original value of 4, of course.
The equation of this line is

.
Answer:
7
Step-by-step explanation:
So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)
Equation 1: x + y = 40 ; therefore y = 40 - x
Equation 2: 25x + 15y = 900
Find x first:
25x + 15 (40 - x) = 900
25x + 600 - 15x = 900
10x = 900 - 600
x = 300÷10
x = 30 hours Chris needs to spend for tutoring job
y = 40 - 30
y = 10 hours Chris needs to spend for referencing job
Given: h(t) = 25 - a·t²
h(0.5) = 21
Find: t such that h(t) = 0
Solution: h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25
It takes 1.25 seconds for the entire 25 ft drop.
Answer:
x= 4/5
y= 2/5
Step-by-step explanation:
3x-y=2
2x+y=5
solve them so that they are in y=mx+b form
3x-y-3x=2-3x
-y= -3x+2
y= 3x -2
2x+y -2x= 2-2x
y= -2x+2
now use the substitution method to get your points
3x -2= -2x+2
3x -2+2= -2x+2+2
3x= -2x+4
3x+2x= -2x+4+2x
5x=4
x= 4/5
now substitute x into any of the 2 equations
y= 3x -2
y= 3(4/5) -2
y= 2 2/5 -2
y= 2/5
Hope this helped!