Or you can do the easy way
convert to slope intercept
y=mx+b
m=slope
get 1y all by itself
8x-4y=8
minus 8x both sides
-4y=-8x+8
divide both sides by -4
y=2x-2
y=mx+b
slope is 2
the hack way is
for an equatoin in standard form
ax+by=c
slope=-a/b
slope=2
if you want to graph 2 points and do it the long way, here it is
if x=0, y=-2
if y=0, x=1
(0,-2) and (1,0)
slope=(y2-y1)/(x2-x1)
slope=(0-(-2))/(1-0)=2/1=2
slope is 2
Answer:
The nth term is 109-9n
Step-by-step explanation:
Here, we want to find the nth term of the given arithmetic sequence
Mathematically, we have the nth term as;
Tn = a + (n-1)d
where a is the first term which is 100 in this case
d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence
The value here is thus;
82-91 = 91-100 = -9
Substituting these values
Tn = 100 + (n-1)-9
Tn = 100 -9n + 9
Tn = 100 + 9 - 9n
Tn = 109-9n
The equation would then be f(x) = 140 x 2(24)
There will be 6,720 crickets in 2 years
The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>
The given parameters are:
Perimeter = 210 meters
Let the length parallel to the wall be represented as z and the width be x
So, the perimeter of the fence is
P = 2x + z
This gives
210 = 2x + z
Make x the subject
x = 1/2(210 - z)
The area of the wall is calculated as
A = xz
So, we have
A = 1/2(210 - z) * z
This gives
A = z/2(210 - z)
Rewrite as
A(z) = z/2(210 - z)
Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
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19%
In the division, 60% are women and 100%-60% = 40% are men. And for this project, we have 15% of the women, or 15%*60% = 9% of the personal and 25% of the men or 25% * 40% = 10% of the personal working on the project. Therefore 9% + 10% = 19% of the division is working on the project.