Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim(h tends to 0 ) 
= lim ( h to 0 ) 
= lim ( h to 0 ) 
= lim( h to 0 ) 
= lim( h to 0 ) 
= lim ( h to 0 )
← cancel h on numerator/ denominator
= lim ( h to 0 ) 4(2x + h) ← let h go to zero
f'(x) = 8x
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
The volume of a rectangular prism is equivalent to the equation Bh. But to find the base you must first do lw or in this equation 6.1 times 5.4. That equals to 32.94. You then use the height, or in this case 8 and multiply it times 32.94. Your final answer should be 263.52 cm. cubed.
Answer:
1/9 as a decimal is 0.111111111
Step-by-step explanation:
<span>C = 45 + 18 + 27 - 21 - 93
C = -24
Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C
C
"Cody made deposits of $45, $18, and $27 into his checking account."
C = 45 + 18 + 27
"He then wrote checks for $21 and $93."
C = 45 + 18 + 27 - 21 - 93
So the expression to represent the change to Cody's checking account is
C = 45 + 18 + 27 - 21 - 93
Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it.
C = 45 + 18 + 27 - 21 - 93
I'll add together all the deposits.
C = (45 + 18 + 27) - 21 - 93
C = 90 - 21 - 93
And I'll combine the checks.
C = 90 - 114
So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So
C = -24
And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>