Answer:
y = -1/3x + 5
Step-by-step explanation:
y = mx + b
so y = 3, x = 6, m = -1/3
then 3 = (-1/3)6 + b
3 = -2 + b
b = 5
so y = -1/3x + 5
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
Answer:
Factoring the term 
we get 
Step-by-step explanation:
We need to factor the term
First we can see that 
is common in both terms
So, taking common:
We can write 
as 
Now we can solve using the formula: 
We can write:
So, factoring the term we get
Answer:
The answer is 10x<8x+5 The cost of 10 yards of fabric is greater than the cost of 8 yards of fabric plus a $5 pack of buttons.
Step-by-step explanation:
When you multiply the sum and and the difference of 10x and 8x you will get the answer up there. I have done this test before when I was in middle school.
Answer:
2 3/4 Gallons
Step-by-step explanation:
4 1/2-1 3/4= 2 3/4
Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4
