First, we will use the distributive property (order of operations) to simplify the equation:
(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =
20 + (−128c) + 96 = 12 + (−156c)+ (−8)
Now, we will combine like terms to simplify the equation:
(−128c) + (20 + 96) = (−156c) + (12+ (−8) =
−128c + 116 = −156c + 4
Now we will add 156 to both sides, using inverse operations.
−128c + 116 + 156c = −156c + 4 + 156c =
28c + 116 = 4
Now we will subtract 116 from both sides:
28c + 116 − 116 = 4 − 116 =
28c = −112
Lastly, we will divide both sides by 28:
28c/28 = c
-112/28 = -4
The equation now looks like:
c = -4
Therefore, your answer is -4.
Answer:
14•14•14= 2744
7•7•7= 343
2744+343= 3087
Step-by-step explanation:
all together it should be 3087
sorry if I'm wrong.
Answer:
The 'n = 1' below sigma represents the <em>lower </em><em>bound</em><em>.</em> meaning the number from which you start adding.
'25' above sigma is the <em>upper </em><em>bound</em><em>.</em>
In general it means adding 42 from 1 to 25 times.
so 42(25).
Answer: Hello mate!
Clairaut’s Theorem says that if you have a function f(x,y) that have defined and continuous second partial derivates in (ai, bj) ∈ A
for all the elements in A, the, for all the elements on A you get:
This says that is the same taking first a partial derivate with respect to x and then a partial derivate with respect to y, that taking first the partial derivate with respect to y and after that the one with respect to x.
Now our function is u(x,y) = tan (2x + 3y), and want to verify the theorem for this, so lets see the partial derivates of u. For the derivates you could use tables, for example, using that:
and now lets derivate this with respect to y.
using that 
Now if we first derivate by y, we get:
and now we derivate by x:
the mixed partial derivates are equal :)
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
