Answer:
Differentiate using the power rule where ![d/dx[x^n]=nx^n-1,n=2](https://tex.z-dn.net/?f=d%2Fdx%5Bx%5En%5D%3Dnx%5En-1%2Cn%3D2)
the derivative would be 2x
Step-by-step explanation:
Answer:
it would take 69 days
Step-by-step explanation:
x = number of days
y = money $
y = 30x
replace y by the number of money that you make
2058.85 = 30x
divise by 30 to isolate x
x = ≅ 69
Answer:
You are correct,y = 0.
Step-by-step explanation:
y = 4 x -3 + 12
y = -12 + 12
y = 0
Hope that helps!
Answer: Choice C) -11
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Explanation:
The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x.
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)
Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.