Answer:
Step-by-step explanation:
2x+28<=6x
28<=4x
7<=x
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Average rate of change can be calculated by the following
Δy/Δx
Our Δx refers to displacement.
Δx = 4 - 64 = -60
Our Δy refers to our Δf(x)
To get our f(x) values, we must plug in 64 and 4 into the function f(x)
f(64) = 8√64 = 64
f(4) = 8√4 = 16
Δf(x) = 16 - 64 = -48
So our rate of change is -60/-48 = 0.8
I believe the answer should be positive 0.8, but that's my best estimate.
(r, theta)= (8, 3/2 pi)
r=(x^2 +y^2)^(1/2)
theta= 3/2 pi
x= r(costheta)
y=r(sintheta)
x=8(cos(3/2 pi))
y=8(sin(3/2 pi))
x=8(0)
y=8(-1)
x=0
y=-8
r=((-8)^2+(0)^2)^(1/2)
r=(64+0)^(1/2)
r=8
rectangular coordinates= (0,-8)
Answer:
x = -5
y = -5
Step-by-step explanation:
If you multiply the top equation by negative 2, you can add it to the bottom equation and cancel out the x:
-2(-x + 5y = -20) --> 2x - 10y = 40
Add this to the bottom equation top to bottom:
2x - 10y = 40
-2x + 4y = -10
You get:
-6y = 30
Then solve for y:
y = -5
Plug this back in for either equation and solve for x:
-x + 5(-5) = -20
-x -25 = -20
-x = 5
x = -5
Your answers are:
x = -5
y = -5
