Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer:
x=40
Step-by-step explanation:
you have to get a answer of 60
(40)+20=60
and 2(40)-20=60
Answer:
w = 6.7451
x = 8.0805
Step-by-step explanation:
Find W
Tan(56) = opposite / adjacent
opposite = 10
Adjacent = w
Tan (56) = 10/w
w*Tan(56) = 10
w = 10 / tan(56)
w = 10/ 1.4826
w = 6.7451
Find x
Tan (34) = 10 / (w + x)
Tan (34) = 0.6745
(w + x) * Tan(34) = 10
w + x = 10 / tan(34)
w+ x = 10 / 0.6745
w + x = 14.826
But we found w = 6.7451
6.7451 + x = 14.826
x = 14l826 - 6.7451
x = 8.0805
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term

Plug in
and you should get the following:

The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in
which shifts everything one spot to the left.